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Google Keyword Rankings for : clique self reducibility
1
Self-reducibility of Clique - Computer Science Stack Exchange
https://cs.stackexchange.com/questions/46968/self-reducibility-of-clique
The Repeat loop is not strictly necessary. The algorithm would still be correct without it. In fact, the Repeat loop actually has no effect, though proving ...
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https://cs.stackexchange.com/questions/46968/self-reducibility-of-clique
The Repeat loop is not strictly necessary. The algorithm would still be correct without it. In fact, the Repeat loop actually has no effect, though proving ...
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2
CSC 373 Lecture # 11 Instructor: Milad Eftekhar Self-reducibility
http://www.cs.toronto.edu/~milad/csc373/lectures/L11.pdf
Given graph G, integer k, find a clique of size k in G, if one exists. ... The argument for self-reducibility is NOT that “any algorithm that solves the ...
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http://www.cs.toronto.edu/~milad/csc373/lectures/L11.pdf
Given graph G, integer k, find a clique of size k in G, if one exists. ... The argument for self-reducibility is NOT that “any algorithm that solves the ...
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3
Self-reducibility of Clique - YouTube
https://www.youtube.com/watch?v=eDAuWAVqD7w
Roel Van de Paar
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https://www.youtube.com/watch?v=eDAuWAVqD7w
Roel Van de Paar
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4
Amplifying Lower Bounds by Means of Self-Reducibility
https://iuuk.mff.cuni.cz/~koucky/papers/gap.pdf
-approximation to MAX-CLIQUE. Håstad presents a deterministic polynomial-time Turing reduction from MAX-CLIQUE to this ap- proximation problem [ ...
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https://iuuk.mff.cuni.cz/~koucky/papers/gap.pdf
-approximation to MAX-CLIQUE. Håstad presents a deterministic polynomial-time Turing reduction from MAX-CLIQUE to this ap- proximation problem [ ...
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5
Pseudorandom Self-Reductions for NP-Complete Problems
https://drops.dagstuhl.de/opus/volltexte/2022/15661/pdf/LIPIcs-ITCS-2022-65.pdf
NP-Complete problems. We show that, in fact, the Clique problem admits a non-adaptive pseudorandom self-reduction, assuming the planted clique conjecture.
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https://drops.dagstuhl.de/opus/volltexte/2022/15661/pdf/LIPIcs-ITCS-2022-65.pdf
NP-Complete problems. We show that, in fact, the Clique problem admits a non-adaptive pseudorandom self-reduction, assuming the planted clique conjecture.
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6
Amplifying Lower Bounds by Means of Self ... - Rutgers CS
http://cs.rutgers.edu/~allender/papers/amplifying.pdf
We then show that, for any problem A having this self-reducibility ... bounds on the running time of any algorithm reducing MAX-CLIQUE to the problem of.
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http://cs.rutgers.edu/~allender/papers/amplifying.pdf
We then show that, for any problem A having this self-reducibility ... bounds on the running time of any algorithm reducing MAX-CLIQUE to the problem of.
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7
Amplifying Lower Bounds by Means of Self-Reducibility∗
https://eccc.weizmann.ac.il/report/2008/038/revision/1/download
4, we show that, for any set possessing such self-reducibility ... of algorithms that compute weak approximations to MAX-CLIQUE would imply ...
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https://eccc.weizmann.ac.il/report/2008/038/revision/1/download
4, we show that, for any set possessing such self-reducibility ... of algorithms that compute weak approximations to MAX-CLIQUE would imply ...
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8
Proof that Clique Decision problem is NP-Complete
https://www.geeksforgeeks.org/proof-that-clique-decision-problem-is-np-complete/
A clique is a subgraph of a graph such that all the vertices in this ... Thus, if S is reducible to C in polynomial time, every NP problem ...
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https://www.geeksforgeeks.org/proof-that-clique-decision-problem-is-np-complete/
A clique is a subgraph of a graph such that all the vertices in this ... Thus, if S is reducible to C in polynomial time, every NP problem ...
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9
The Average-Case Complexity of Counting Cliques in Erd˝os ...
https://arxiv.org/pdf/1903.08247
reduction for computing the parity of the k-clique count that only ... Random self-reducibility for counting k-cliques With the random ...
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https://arxiv.org/pdf/1903.08247
reduction for computing the parity of the k-clique count that only ... Random self-reducibility for counting k-cliques With the random ...
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10
The Exponential Time Hypothesis and the Parameterized ...
https://www2.mathematik.tu-darmstadt.de/~eickmeyer/papers/eth-pagenums.pdf
By a standard self-reduction argument we have: Lemma 2. If p-Clique ∈ FPTnu, then Clique satisfies (∗). We now use the algorithms in (∗) to obtain a ...
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https://www2.mathematik.tu-darmstadt.de/~eickmeyer/papers/eth-pagenums.pdf
By a standard self-reduction argument we have: Lemma 2. If p-Clique ∈ FPTnu, then Clique satisfies (∗). We now use the algorithms in (∗) to obtain a ...
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11
Computational Complexity Theory - CSA – IISc Bangalore
https://www.csa.iisc.ac.in/~chandan/courses/complexity20/lectures/lec3.pdf
Clique. Vertex cover. 0/1 integer programming. Max-Cut (NP-hard) ... CLIQUE := {(H, k): H has a clique of size k} ... SAT is downward self-reducible.
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https://www.csa.iisc.ac.in/~chandan/courses/complexity20/lectures/lec3.pdf
Clique. Vertex cover. 0/1 integer programming. Max-Cut (NP-hard) ... CLIQUE := {(H, k): H has a clique of size k} ... SAT is downward self-reducible.
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12
Problem set 8 Computational Complexity. 1. (a) Give a self ...
http://courses.cs.tau.ac.il/Complexity/06b/Exercises/ex8.pdf
(a) Give a self-reduction for Clique. That is, show that given an oracle access to the decision variant of Clique, one can solve the search variant of ...
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http://courses.cs.tau.ac.il/Complexity/06b/Exercises/ex8.pdf
(a) Give a self-reduction for Clique. That is, show that given an oracle access to the decision variant of Clique, one can solve the search variant of ...
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13
(PDF) Amplifying Lower Bounds by Means of Self-Reducibility
https://www.researchgate.net/publication/4351607_Amplifying_Lower_Bounds_by_Means_of_Self-Reducibility
4, we show that, for any set possessing such self-reducibility ... of algorithms that compute weak approximations to MAX-CLIQUE would imply ...
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https://www.researchgate.net/publication/4351607_Amplifying_Lower_Bounds_by_Means_of_Self-Reducibility
4, we show that, for any set possessing such self-reducibility ... of algorithms that compute weak approximations to MAX-CLIQUE would imply ...
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14
More NP reductions, coNP - GMU CS Department
https://cs.gmu.edu/~gordon/teaching/cs600/co_np.pdf
This will have 2n clauses, though, so it is not a valid Karp reduction! ... 3 Self-Reducibility and Search vs. ... Theorem 3 CLIQUE is self-reducible.
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https://cs.gmu.edu/~gordon/teaching/cs600/co_np.pdf
This will have 2n clauses, though, so it is not a valid Karp reduction! ... 3 Self-Reducibility and Search vs. ... Theorem 3 CLIQUE is self-reducible.
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15
Lecture 11 The Lovász ϑ Function
https://www.cs.cmu.edu/afs/cs.cmu.edu/academic/class/15859-f11/www/notes/lecture11.pdf
Therefore, by solving (11.5) and using self-reducibility as described above, we can find maximum weight cliques in perfect graphs.
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https://www.cs.cmu.edu/afs/cs.cmu.edu/academic/class/15859-f11/www/notes/lecture11.pdf
Therefore, by solving (11.5) and using self-reducibility as described above, we can find maximum weight cliques in perfect graphs.
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16
The inapproximability of non-NP-hard optimization problems
https://www.sciencedirect.com/science/article/pii/S0304397501003437/pdf?md5=75efa9a37af0ba48d9c9cec5e6d67318&pid=1-s2.0-S0304397501003437-main.pdf
k CLIQUE: (k¿1) Given a graph G of n vertices, find a maximum clique for G ... Feige and Kilian [18] show that CLIQUE is self-reducible to LOG.
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https://www.sciencedirect.com/science/article/pii/S0304397501003437/pdf?md5=75efa9a37af0ba48d9c9cec5e6d67318&pid=1-s2.0-S0304397501003437-main.pdf
k CLIQUE: (k¿1) Given a graph G of n vertices, find a maximum clique for G ... Feige and Kilian [18] show that CLIQUE is self-reducible to LOG.
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17
Around the PCP Theorem
https://www.cs.princeton.edu/~arora/pubs/barbados.ps
Random self-reducibility (r.s.r.) is a classic example of the duality betweem ... The problems 3SAT and CLIQUE are NP-complete, and so we believe that they.
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https://www.cs.princeton.edu/~arora/pubs/barbados.ps
Random self-reducibility (r.s.r.) is a classic example of the duality betweem ... The problems 3SAT and CLIQUE are NP-complete, and so we believe that they.
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18
Planar Graph Coloring is Not Self-Reducible, Assuming P \= NP
http://www.cs.umd.edu/users/samir/grant/self.pdf
In this formal setting, we now illustrate that general graph k-coloring is self-reducible. Problem : Given a graph G and a clique K of size k, ...
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http://www.cs.umd.edu/users/samir/grant/self.pdf
In this formal setting, we now illustrate that general graph k-coloring is self-reducible. Problem : Given a graph G and a clique K of size k, ...
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19
An integrality gap for the planted clique problem
https://www.sumofsquares.org/public/lec-lowerbound-plantedclique.html
The Planted Clique problem (sometimes referred to as the hidden clique problem) is a central question ... “On the Random-Self-Reducibility of Complete Sets.
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https://www.sumofsquares.org/public/lec-lowerbound-plantedclique.html
The Planted Clique problem (sometimes referred to as the hidden clique problem) is a central question ... “On the Random-Self-Reducibility of Complete Sets.
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20
The exponential time hypothesis and the parameterized clique ...
http://basics.sjtu.edu.cn/~chen/papers/eth.pdf
known that ETH implies that p-Clique is not fixed-parameter tractable ... The proof of Lemma 4 makes essential use of a self-reducibility property of p-.
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http://basics.sjtu.edu.cn/~chen/papers/eth.pdf
known that ETH implies that p-Clique is not fixed-parameter tractable ... The proof of Lemma 4 makes essential use of a self-reducibility property of p-.
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21
Chapter 8 8.1 Polynomial-Time Reductions - Washington
https://courses.cs.washington.edu/courses/cse421/10au/lectures/08intractability.pdf
Polynomial-Time Reduction. Desiderata'. ... Self-Reducibility. Decision problem. ... Show that Independent Set is polynomial time reducible to Clique.
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https://courses.cs.washington.edu/courses/cse421/10au/lectures/08intractability.pdf
Polynomial-Time Reduction. Desiderata'. ... Self-Reducibility. Decision problem. ... Show that Independent Set is polynomial time reducible to Clique.
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22
Fast self-reduction algorithms for combinatorial problems of ...
https://link.springer.com/chapter/10.1007/BFb0040395
We introduce a notion of fast self-reduction in this setting and ... of Finding a Minimum-Clique-Number Interval Graph Containing a Given ...
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https://link.springer.com/chapter/10.1007/BFb0040395
We introduce a notion of fast self-reduction in this setting and ... of Finding a Minimum-Clique-Number Interval Graph Containing a Given ...
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23
Random-Self-Reducibility of Complete Sets - SIAM epubs
https://epubs.siam.org/doi/10.1137/0222061
... generalizes the previous formal definitions of random-self-reducibility. ... not nonadaptively random-self-reducible, unless the hierarchy collapses.
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https://epubs.siam.org/doi/10.1137/0222061
... generalizes the previous formal definitions of random-self-reducibility. ... not nonadaptively random-self-reducible, unless the hierarchy collapses.
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24
Finding the Maximum Clique in Massive Graphs
http://www.vldb.org/pvldb/vol10/p1538-lu.pdf
problem, to find the clique with most vertices in a given graph, has ... G = (V,E) without self-loops or multiple edges, where V and E.
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http://www.vldb.org/pvldb/vol10/p1538-lu.pdf
problem, to find the clique with most vertices in a given graph, has ... G = (V,E) without self-loops or multiple edges, where V and E.
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25
Problem Set: NP-Complete Reductions
http://www.cs.ucc.ie/~gprovan/CS4407/2020/Quiz/Problem%20Set-NPC-solutions.pdf
Show that CLIQUE is NP-complete using a reduction from HALF-CLIQUE. ... For each xi E X, we add a self-edge ei from v to v with weight xi.
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http://www.cs.ucc.ie/~gprovan/CS4407/2020/Quiz/Problem%20Set-NPC-solutions.pdf
Show that CLIQUE is NP-complete using a reduction from HALF-CLIQUE. ... For each xi E X, we add a self-edge ei from v to v with weight xi.
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26
Approximately Counting Cliques
https://digitalassets.lib.berkeley.edu/techreports/ucb/text/CSD-96-910.ps
mum clique of a random graph, G, exactly equals its expectation, cl(n), with ... Our algorithm hinges on a certain self-reducibility property of cliques ...
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https://digitalassets.lib.berkeley.edu/techreports/ucb/text/CSD-96-910.ps
mum clique of a random graph, G, exactly equals its expectation, cl(n), with ... Our algorithm hinges on a certain self-reducibility property of cliques ...
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27
New Techniques for Proving Fine-Grained Average-Case ...
https://ieeexplore.ieee.org/abstract/document/9317876
2019] that was used to give a WCtoACFG reduction for counting k-cliques. ... one can use the framework on the problem to get a WCtoACFG self reduction.
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https://ieeexplore.ieee.org/abstract/document/9317876
2019] that was used to give a WCtoACFG reduction for counting k-cliques. ... one can use the framework on the problem to get a WCtoACFG self reduction.
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28
Planar Graph Coloring is Not Self-Reducible Assuming PNP
https://ecommons.cornell.edu/bitstream/handle/1813/6864/89-1064.pdf?sequence=1&isAllowed=y
lack of self-reducibility in problems whose decision version is NP-hard. ... Problem: Given a graph G and a clique K of size k, is GUK k-colorable ?
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https://ecommons.cornell.edu/bitstream/handle/1813/6864/89-1064.pdf?sequence=1&isAllowed=y
lack of self-reducibility in problems whose decision version is NP-hard. ... Problem: Given a graph G and a clique K of size k, is GUK k-colorable ?
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29
Constant approximating k-clique is w[1]-hard - Semantic Scholar
https://www.semanticscholar.org/paper/Constant-approximating-k-clique-is-w%5B1%5D-hard-Lin/683f8c170092f1daf4b52aa5d6f8d7670bdaa4f0
On Lower Bounds of Approximating Parameterized k-Clique ... even within FPT running time, and a self-reduction is constructed via a ...
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https://www.semanticscholar.org/paper/Constant-approximating-k-clique-is-w%5B1%5D-hard-Lin/683f8c170092f1daf4b52aa5d6f8d7670bdaa4f0
On Lower Bounds of Approximating Parameterized k-Clique ... even within FPT running time, and a self-reduction is constructed via a ...
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30
7 2 points Show that the subset sum problem is self reducible ...
https://www.coursehero.com/file/p5bohpb/Show-that-the-subset-sum-problem-is-self-reducible-The-decision-problem-is-to/
(2 points) Show that the clique problem is self-reducible. The decision problem is to take a graphGand an integerkand decide ifGhas a clique of sizekor not.
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https://www.coursehero.com/file/p5bohpb/Show-that-the-subset-sum-problem-is-self-reducible-The-decision-problem-is-to/
(2 points) Show that the clique problem is self-reducible. The decision problem is to take a graphGand an integerkand decide ifGhas a clique of sizekor not.
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31
Reducing the Clique and Chromatic Number via Edge ...
https://sonar.ch/documents/307828/files/blockers_rero_0.pdf
those vertices that were adjacent to u or v in G (neither self-loops nor ... obtained in the reduction as input graph for 1-Contraction Blocker(ω) is.
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https://sonar.ch/documents/307828/files/blockers_rero_0.pdf
those vertices that were adjacent to u or v in G (neither self-loops nor ... obtained in the reduction as input graph for 1-Contraction Blocker(ω) is.
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32
CS 1510 Midterm 2 Fall 2014 Instructions: Answer as many of ...
https://people.cs.pitt.edu/~kirk/cs1510/exams/2014mid2.pdf
(20 points) Show that the clique problem is self-reducible. The decision problem is to take a graph G and an integer k and decide if G has a clique of size ...
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https://people.cs.pitt.edu/~kirk/cs1510/exams/2014mid2.pdf
(20 points) Show that the clique problem is self-reducible. The decision problem is to take a graph G and an integer k and decide if G has a clique of size ...
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33
Large clique is hard on average for resolution
https://math.uchicago.edu/~spang/res_clique.pdf
Keywords: Resolution· k-Clique · Random graphs· Regular resolution ... (by a self-reduction) if the induced sub-graph were also pseudo-random, which.
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https://math.uchicago.edu/~spang/res_clique.pdf
Keywords: Resolution· k-Clique · Random graphs· Regular resolution ... (by a self-reduction) if the induced sub-graph were also pseudo-random, which.
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34
On Self-Reducibility and Reoptimization of Closest Substring ...
https://www.academia.edu/77104457/On_Self_Reducibility_and_Reoptimization_of_Closest_Substring_Problem
CSP is self-reducible. mum Weighted Independent Set Problem (MWISP), since a clique in a graph is an independent set in the corresponding complement of the ...
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https://www.academia.edu/77104457/On_Self_Reducibility_and_Reoptimization_of_Closest_Substring_Problem
CSP is self-reducible. mum Weighted Independent Set Problem (MWISP), since a clique in a graph is an independent set in the corresponding complement of the ...
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35
Counting t-Cliques: Worst-Case to Average-Case Reductions ...
http://ieee-focs.org/FOCS-2018-Papers/pdfs/59f077.pdf
counting t-cliques in typical n-vertex graphs that are ... 3They also showed that it is downwards self-reducible when the field.
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http://ieee-focs.org/FOCS-2018-Papers/pdfs/59f077.pdf
counting t-cliques in typical n-vertex graphs that are ... 3They also showed that it is downwards self-reducible when the field.
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36
DROPS - Document - Emis.de
https://cs.emis.de/LIPIcs/frontdoor_bfb2.html
A language L is random-self-reducible if deciding membership in L can ... Clique problem admits a non-adaptive pseudorandom self-reduction, ...
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https://cs.emis.de/LIPIcs/frontdoor_bfb2.html
A language L is random-self-reducible if deciding membership in L can ... Clique problem admits a non-adaptive pseudorandom self-reduction, ...
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37
BACHELORARBEIT - Christian Schulz
https://schulzchristian.github.io/thesis/ba_trummer.pdf
Additionally, reduction rules have been proposed for the edge clique cover problem – which reduce a ... undirected, unweighted graphs with no self loops.
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https://schulzchristian.github.io/thesis/ba_trummer.pdf
Additionally, reduction rules have been proposed for the edge clique cover problem – which reduce a ... undirected, unweighted graphs with no self loops.
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38
Parallel Maximum Clique Algorithms with Applications to ...
http://ryanrossi.com/pubs/rossi-et-al-sisc2015-preprint.pdf
We present a fast, parallel maximum clique algorithm for large sparse graphs ... of the networks, we discard edge weights and self-loops when they exist.
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http://ryanrossi.com/pubs/rossi-et-al-sisc2015-preprint.pdf
We present a fast, parallel maximum clique algorithm for large sparse graphs ... of the networks, we discard edge weights and self-loops when they exist.
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39
Connecting the Complexities of Approximating Clique and TSP
https://www.csee.umbc.edu/~chang/papers/npfsat2/npfsat2.pdf
m -reduces to 2-approximating MaxClique.1. While the construction of this self-improvement reduction is fairly straightforward, ...
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https://www.csee.umbc.edu/~chang/papers/npfsat2/npfsat2.pdf
m -reduces to 2-approximating MaxClique.1. While the construction of this self-improvement reduction is fairly straightforward, ...
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40
the average-case complexity of counting cliques in erd\h os--r ...
https://par.nsf.gov/servlets/purl/10315065
new ingredients for the self-reducibility of counting k-cliques as a low-degree poly- nomial and a tight analysis of random biased binary expansions over Fp ...
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https://par.nsf.gov/servlets/purl/10315065
new ingredients for the self-reducibility of counting k-cliques as a low-degree poly- nomial and a tight analysis of random biased binary expansions over Fp ...
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41
Boolean satisfiability problem - Wikipedia
https://en.wikipedia.org/wiki/Boolean_satisfiability_problem
This is done by polynomial-time reduction from 3-SAT to the other problem. An example of a problem where this method has been used is the clique problem: ...
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https://en.wikipedia.org/wiki/Boolean_satisfiability_problem
This is done by polynomial-time reduction from 3-SAT to the other problem. An example of a problem where this method has been used is the clique problem: ...
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42
A spectral independence view on hard spheres via block ...
https://hal.archives-ouvertes.fr/hal-03223196/document
Together with a known self-reducibility scheme for. 120 clique dynamics, this results in the desired approximation algorithm.
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https://hal.archives-ouvertes.fr/hal-03223196/document
Together with a known self-reducibility scheme for. 120 clique dynamics, this results in the desired approximation algorithm.
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43
1 VERTEX-COVER → CLIQUE
https://www.clear.rice.edu/comp487/VC_Clique.pdf
undirected graph G = (V,E), a clique is a subset V ⊆ V of vertices, ... to prove that CLIQUE is also NP Complete, by reduction from VERTEX-COVER.
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https://www.clear.rice.edu/comp487/VC_Clique.pdf
undirected graph G = (V,E), a clique is a subset V ⊆ V of vertices, ... to prove that CLIQUE is also NP Complete, by reduction from VERTEX-COVER.
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44
New Graph Classes of Bounded Clique-Width
http://www.cs.kent.edu/~dragan/CWDP4EXT.ps
Order Logic) is linear-time solvable on graphs with bounded clique-width if not only ... let G = (V,E) be a finite undirected graph without self-loops.
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http://www.cs.kent.edu/~dragan/CWDP4EXT.ps
Order Logic) is linear-time solvable on graphs with bounded clique-width if not only ... let G = (V,E) be a finite undirected graph without self-loops.
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45
On the Average-case Complexity of MCSP and Its Variants
https://computationalcomplexity.org/Archive/2017/slides/7_HS.pdf
If MCSP is randomly self-reducible, it provides strong evidence of non-NP-hardness of ... MKTP is Random 3SAT-hard, Planted Clique-hard, and.
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https://computationalcomplexity.org/Archive/2017/slides/7_HS.pdf
If MCSP is randomly self-reducible, it provides strong evidence of non-NP-hardness of ... MKTP is Random 3SAT-hard, Planted Clique-hard, and.
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46
Amplifying lower bounds by means of self- reducibility Eric ...
https://slideplayer.com/slide/4183723/
Amplifying lower bounds by means of self- reducibility Eric Allender Michal ... G by calculating MAX-CLIQUE exactly on each of the n pieces we can n ...
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https://slideplayer.com/slide/4183723/
Amplifying lower bounds by means of self- reducibility Eric Allender Michal ... G by calculating MAX-CLIQUE exactly on each of the n pieces we can n ...
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47
Exercise sheet - Computational Complexity
https://staff.science.uva.nl/r.dehaan/complexity2021/files/ex2.pdf
To show that CLIQUE is NP-hard, we will give a polynomial-time reduction f from 3SAT to CLIQUE. We describe this ... Exercise 4 (self-reducibility of 3SAT).
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https://staff.science.uva.nl/r.dehaan/complexity2021/files/ex2.pdf
To show that CLIQUE is NP-hard, we will give a polynomial-time reduction f from 3SAT to CLIQUE. We describe this ... Exercise 4 (self-reducibility of 3SAT).
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48
Sampling and Counting Acyclic Orientations in Chordal ...
https://ojs.aaai.org/index.php/AAAI/article/view/21667/21416
problem is not known to be self-reducible and, prior to our ... over the clique tree structure of chordal graphs, which yields.
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https://ojs.aaai.org/index.php/AAAI/article/view/21667/21416
problem is not known to be self-reducible and, prior to our ... over the clique tree structure of chordal graphs, which yields.
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49
Derandomized Graph Products
http://www.math.ias.edu/~avi/PUBLICATIONS/MYPAPERS/FEIGE/PRODUCT/paper.ps
Berman and Schnitger [10] gave a randomized reduction from approximating MAX- ... The problem of computing the size of the maximum clique in a graph was one ...
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http://www.math.ias.edu/~avi/PUBLICATIONS/MYPAPERS/FEIGE/PRODUCT/paper.ps
Berman and Schnitger [10] gave a randomized reduction from approximating MAX- ... The problem of computing the size of the maximum clique in a graph was one ...
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50
Maximum Clique and Minimum Clique - xeraina
https://www.xeraina.ch/publications/eidenbenz_ifiptcs00.pdf
this paper, next to the obvious reason of self-containment. ... We propose a gap-preserving reduction from the Maximum Clique problem.
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https://www.xeraina.ch/publications/eidenbenz_ifiptcs00.pdf
this paper, next to the obvious reason of self-containment. ... We propose a gap-preserving reduction from the Maximum Clique problem.
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51
Probe Machine Based Computing Model for Maximum Clique ...
https://ietresearch.onlinelibrary.wiley.com/doi/full/10.1049/cje.2020.00.293
In 2014, Zhou et al. proposed a computing model based on the self-assembly of tiles for solving maximum clique problem.
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https://ietresearch.onlinelibrary.wiley.com/doi/full/10.1049/cje.2020.00.293
In 2014, Zhou et al. proposed a computing model based on the self-assembly of tiles for solving maximum clique problem.
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52
9 Approximation and Complexity - JHU CS
https://www.cs.jhu.edu/~scheideler/courses/600.471_S05/lecture_9.pdf
present a reduction from CLIQUE to CLIQUE which increases the gap). In this graph product we assume that a graph has a self-loop at every one of its nodes.
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https://www.cs.jhu.edu/~scheideler/courses/600.471_S05/lecture_9.pdf
present a reduction from CLIQUE to CLIQUE which increases the gap). In this graph product we assume that a graph has a self-loop at every one of its nodes.
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53
Maximum Clique in Disk-Like Intersection Graphs
https://www.research-collection.ethz.ch/bitstream/handle/20.500.11850/464563/2/LIPIcs-FSTTCS-2020-17.pdf
Maximum Independent Set (MIS), which boils down to Maximum Clique on the complement graphs, is APX-hard on subcubic graphs [3]. A folklore self-reduction ...
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https://www.research-collection.ethz.ch/bitstream/handle/20.500.11850/464563/2/LIPIcs-FSTTCS-2020-17.pdf
Maximum Independent Set (MIS), which boils down to Maximum Clique on the complement graphs, is APX-hard on subcubic graphs [3]. A folklore self-reduction ...
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54
Clique Is Hard on Average for Regular Resolution
https://upcommons.upc.edu/bitstream/2117/363346/1/clique-regular-resolution.pdf
Using a standard reduction from k-clique to SAT, we can translate the problem of k-cliques ... give a self-contained proof.
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https://upcommons.upc.edu/bitstream/2117/363346/1/clique-regular-resolution.pdf
Using a standard reduction from k-clique to SAT, we can translate the problem of k-cliques ... give a self-contained proof.
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55
A Tutorial on Clique Problems in Communications and Signal ...
https://repository.kaust.edu.sa/bitstream/handle/10754/662298/Articlefile1.pdf?sequence=1
graph theory problem, known as the clique problem, for solving ... results in a reduction of the circuit yield and degradation of.
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https://repository.kaust.edu.sa/bitstream/handle/10754/662298/Articlefile1.pdf?sequence=1
graph theory problem, known as the clique problem, for solving ... results in a reduction of the circuit yield and degradation of.
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56
On Computing the Smallest Four-Coloring of Planar Graphs ...
https://ccc.cs.uni-duesseldorf.de/~rothe/PDF/smallest-four-color.pdf
We discuss this application to non-self-reducibility and provide a general ... clique problem, and the knapsack problem—that are defined by.
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https://ccc.cs.uni-duesseldorf.de/~rothe/PDF/smallest-four-color.pdf
We discuss this application to non-self-reducibility and provide a general ... clique problem, and the knapsack problem—that are defined by.
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57
Reducibility and Statistical-Computational Gaps from Secret ...
http://proceedings.mlr.press/v125/brennan20a/brennan20a.pdf
we introduce – the secret leakage planted clique (PCρ) conjecture. ... Random-self-reducibility of complete sets. SIAM Journal on.
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http://proceedings.mlr.press/v125/brennan20a/brennan20a.pdf
we introduce – the secret leakage planted clique (PCρ) conjecture. ... Random-self-reducibility of complete sets. SIAM Journal on.
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58
DROPS - Document - RWTH Aachen
http://dagstuhl.sunsite.rwth-aachen.de/opus/frontdoor.php?source_opus=15661
A language L is random-self-reducible if deciding membership in L can be reduced ... the Clique problem admits a non-adaptive pseudorandom self-reduction, ...
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http://dagstuhl.sunsite.rwth-aachen.de/opus/frontdoor.php?source_opus=15661
A language L is random-self-reducible if deciding membership in L can be reduced ... the Clique problem admits a non-adaptive pseudorandom self-reduction, ...
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59
Self-Reduction for Combinatorial Optimisation - SeS Home
https://ses.library.usyd.edu.au/handle/2123/797
Self-reduction rules are surveyed for the Graph Colouring Problem, the Maximum Clique Problem, the Steiner Problem in Graphs, the Bin Packing Problem and the ...
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https://ses.library.usyd.edu.au/handle/2123/797
Self-reduction rules are surveyed for the Graph Colouring Problem, the Maximum Clique Problem, the Steiner Problem in Graphs, the Bin Packing Problem and the ...
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60
Maximum Clique in Disk-Like Intersection Graphs
http://perso.ens-lyon.fr/edouard.bonnet/publi/disklike.pdf
Keywords and phrases Disk Graphs, Intersection Graphs, Maximum Clique, Algorithms, ... A folklore self-reduction first discovered by Poljak [51] consists of.
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http://perso.ens-lyon.fr/edouard.bonnet/publi/disklike.pdf
Keywords and phrases Disk Graphs, Intersection Graphs, Maximum Clique, Algorithms, ... A folklore self-reduction first discovered by Poljak [51] consists of.
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61
maxclique.pdf - DidaWiki
http://didawiki.di.unipi.it/lib/exe/fetch.php/magistraleinformatica/alg2/algo2_10/maxclique.pdf
Lemma 6.4. We will show that MAXIMUM 3-SATISFIABILITY is “reducible” to MAX-. PROOF. IMUM CLIQUE in such a way that any approximate solution for the latter.
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http://didawiki.di.unipi.it/lib/exe/fetch.php/magistraleinformatica/alg2/algo2_10/maxclique.pdf
Lemma 6.4. We will show that MAXIMUM 3-SATISFIABILITY is “reducible” to MAX-. PROOF. IMUM CLIQUE in such a way that any approximate solution for the latter.
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62
CSL 630, Tutorial Sheet 5 1. Give an O(n + m) time i.e. linear ...
http://www.cse.iitd.ac.in/~ssen/csl630/assgn/a6.pdf
(b) Show that V ERTEX COVER and CLIQUE are self reducible. 4. Show the existence of a co-NP complete problem. Provide all formal definitions.
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http://www.cse.iitd.ac.in/~ssen/csl630/assgn/a6.pdf
(b) Show that V ERTEX COVER and CLIQUE are self reducible. 4. Show the existence of a co-NP complete problem. Provide all formal definitions.
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63
Average-Case Fine-Grained Hardness, Part I - Theory Dish
https://theorydish.blog/2021/07/23/average-case-fine-grained-hardness-part-i/comment-page-1/
... hardness is arguably worst-case to average-case reduction, i.e., ... argument for proving computing permanent is self-reducible [L91], ...
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https://theorydish.blog/2021/07/23/average-case-fine-grained-hardness-part-i/comment-page-1/
... hardness is arguably worst-case to average-case reduction, i.e., ... argument for proving computing permanent is self-reducible [L91], ...
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64
COMP4804 Assignment 4: Due Tuesday April 6th, 23:59EDT
https://cglab.ca/~morin/teaching/484/assn/assn4.pdf
2 Self-Reducibility of Vertex-Cover. Suppose we have an algorithm A for ... 3 A Fast Algorithm for Max-Clique in Graphs of Bounded Degree.
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https://cglab.ca/~morin/teaching/484/assn/assn4.pdf
2 Self-Reducibility of Vertex-Cover. Suppose we have an algorithm A for ... 3 A Fast Algorithm for Max-Clique in Graphs of Bounded Degree.
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65
Enumerating Maximum Cliques in Massive Graphs
https://www.computer.org/csdl/journal/tk/2022/09/09250607/1oxjS6MBaA8
Cliques refer to subgraphs in an undirected graph such that vertices in each ... i.e., for any non self-loop edge Z_$(u,v)$_Z, Z_$(u,v) \in E^{\prime }$_Z, ...
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https://www.computer.org/csdl/journal/tk/2022/09/09250607/1oxjS6MBaA8
Cliques refer to subgraphs in an undirected graph such that vertices in each ... i.e., for any non self-loop edge Z_$(u,v)$_Z, Z_$(u,v) \in E^{\prime }$_Z, ...
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66
Consequences of Falsifying SETH and the Orthogonal Vectors ...
https://www.mpi-inf.mpg.de/~kbringma/paper/2018STOC-1.pdf
f(k, d)·polylog M time self-reduction for the d-hypergraph k-clique problem that, on input an instance. (G, w, k, t) with maximum weight M, ...
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https://www.mpi-inf.mpg.de/~kbringma/paper/2018STOC-1.pdf
f(k, d)·polylog M time self-reduction for the d-hypergraph k-clique problem that, on input an instance. (G, w, k, t) with maximum weight M, ...
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67
Reoptimization of Motif Finding Problem - IAENG
http://www.iaeng.org/publication/IMECS2014/IMECS2014_pp106-111.pdf
is self-reducible, any problem that obtains a polynomial-time ... Since a clique is composed of vertices, the atoms.
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http://www.iaeng.org/publication/IMECS2014/IMECS2014_pp106-111.pdf
is self-reducible, any problem that obtains a polynomial-time ... Since a clique is composed of vertices, the atoms.
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68
4.18 Decision, optimization, and search. Of the three - Chegg
https://www.chegg.com/homework-help/questions-and-answers/418-decision-optimization-search-three-versions-independent-set-defined-section-424-first--q47723269
This is yet another appearance of self-reducibility, as in Problem 4.1 ... Also, we say that S is a clique if every vertex in S is adjacent to every other, ...
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https://www.chegg.com/homework-help/questions-and-answers/418-decision-optimization-search-three-versions-independent-set-defined-section-424-first--q47723269
This is yet another appearance of self-reducibility, as in Problem 4.1 ... Also, we say that S is a clique if every vertex in S is adjacent to every other, ...
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69
Diversified Top-K Clique Search - OPUS at UTS
https://opus.lib.uts.edu.au/bitstream/10453/43795/1/%5B2015%20VLDBJ%5D%20Diversified%20Top-K%20Clique%20Search.pdf
Maximal clique enumeration is a fundamental graph operation. Given an undirected graph G, ... and d(u, G) respectively if the context is self-evident. A.
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https://opus.lib.uts.edu.au/bitstream/10453/43795/1/%5B2015%20VLDBJ%5D%20Diversified%20Top-K%20Clique%20Search.pdf
Maximal clique enumeration is a fundamental graph operation. Given an undirected graph G, ... and d(u, G) respectively if the context is self-evident. A.
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70
Clique Is Hard on Average for Regular Resolution - KTH
https://www.csc.kth.se/~jakobn/miao-group/docs/CliqueRegularResolution_JACM.pdf
Using a standard reduction from -clique to SAT, we can translate the ... refutation is constructed in this framework, we give a self-contained proof.
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https://www.csc.kth.se/~jakobn/miao-group/docs/CliqueRegularResolution_JACM.pdf
Using a standard reduction from -clique to SAT, we can translate the ... refutation is constructed in this framework, we give a self-contained proof.
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71
When can an efficient decision algorithm be used to find and ...
https://www.dcs.gla.ac.uk/~kitty/slides/fata_mar16.pdf
Not all subgraph problems are self-reducible. Suppose that a k-vertex subset is a witness if it either induces a clique or an.
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https://www.dcs.gla.ac.uk/~kitty/slides/fata_mar16.pdf
Not all subgraph problems are self-reducible. Suppose that a k-vertex subset is a witness if it either induces a clique or an.
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72
Problem: Clique cover - Graph Classes
https://www.graphclasses.org/classes/problem_Clique_cover.html
Problem: Clique cover ... Helly circular arc ∩ perfect · Helly circular arc ∩ quasi-line · Helly circular arc ∩ self-clique · (K2,3,P4,co-butterfly)-free ...
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https://www.graphclasses.org/classes/problem_Clique_cover.html
Problem: Clique cover ... Helly circular arc ∩ perfect · Helly circular arc ∩ quasi-line · Helly circular arc ∩ self-clique · (K2,3,P4,co-butterfly)-free ...
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73
Result Veri cation Algorithms for Optimization Problems
http://infolab.stanford.edu/pub/papers/ver_np.ps
maximum clique in a graph is also a self-reducible problem because it is easy to nd a. maximum clique in a graph, using an algorithm which returns the ...
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http://infolab.stanford.edu/pub/papers/ver_np.ps
maximum clique in a graph is also a self-reducible problem because it is easy to nd a. maximum clique in a graph, using an algorithm which returns the ...
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74
Cliques, Subgraphs, and a bit of biology
http://www.goodmath.org/blog/2007/07/15/cliques-subgraphs-and-a-bit-of-biology/
In general, for applications of the graph clique problem (or the ... The way he described it was: “The bad news is, it's reducible to 3-SAT, ...
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http://www.goodmath.org/blog/2007/07/15/cliques-subgraphs-and-a-bit-of-biology/
In general, for applications of the graph clique problem (or the ... The way he described it was: “The bad news is, it's reducible to 3-SAT, ...
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75
Exact Weight Subgraphs and the k-Sum Conjecture - Kevin Lewi
https://klewi.com/papers/eweight-subgraphs-proc.pdf
Aside from the aforementioned reduction from3-SUMto EXACT-WEIGHT-3-CLIQUE, few other connections between k-SUM and subgraph ... a self reduction for k-SUM.
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https://klewi.com/papers/eweight-subgraphs-proc.pdf
Aside from the aforementioned reduction from3-SUMto EXACT-WEIGHT-3-CLIQUE, few other connections between k-SUM and subgraph ... a self reduction for k-SUM.
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76
Final Exam - ICS-UCI
https://www.ics.uci.edu/~irani/s18_cs262/HW/Final.pdf
A language L is said to be downward self-reducible if there's a ... Recall that a clique in an undirected graph G = (V,E) is a subset V ...
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https://www.ics.uci.edu/~irani/s18_cs262/HW/Final.pdf
A language L is said to be downward self-reducible if there's a ... Recall that a clique in an undirected graph G = (V,E) is a subset V ...
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77
Clique Graphs and Helly Graphs - CORE
https://core.ac.uk/download/pdf/82342658.pdf
immediately obtains a graph class fixed under K from any self-dual class of conformal hypergraphs which is closed under reductions and the operation.
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https://core.ac.uk/download/pdf/82342658.pdf
immediately obtains a graph class fixed under K from any self-dual class of conformal hypergraphs which is closed under reductions and the operation.
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78
CS/ECE 374 Lab 12 Solutions Spring 2021 1. Let G = (V, E ...
https://courses.engr.illinois.edu/cs374/sp2021/labs/lab12-sol.pdf
Here is an attempted reduction from general graphs to bipartite graphs. ... edge in H for any u ∈ V since there are no self-loops in G.
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https://courses.engr.illinois.edu/cs374/sp2021/labs/lab12-sol.pdf
Here is an attempted reduction from general graphs to bipartite graphs. ... edge in H for any u ∈ V since there are no self-loops in G.
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79
Molecular Sticker Model Stimulation on Silicon for a Maximum ...
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4490504/
Keywords: molecular computing, stickers model, maximum clique problem, SOPC ... the plasmid model [7,8], self-assembly model [9,10,11], and so on.
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https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4490504/
Keywords: molecular computing, stickers model, maximum clique problem, SOPC ... the plasmid model [7,8], self-assembly model [9,10,11], and so on.
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80
New Techniques for Proving Fine-Grained ... - NASA/ADS
https://ui.adsabs.harvard.edu/abs/2020arXiv200806591D/abstract
2019] that was used to give a WCtoACFG reduction for counting $k$-cliques. ... one can use the framework on the problem to get a WCtoACFG self reduction.
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https://ui.adsabs.harvard.edu/abs/2020arXiv200806591D/abstract
2019] that was used to give a WCtoACFG reduction for counting $k$-cliques. ... one can use the framework on the problem to get a WCtoACFG self reduction.
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81
New Techniques for Proving Fine-Grained Average ... - DeepAI
https://deepai.org/publication/new-techniques-for-proving-fine-grained-average-case-hardness
This paper defines new versions of OV, kSUM and zero-k-clique that ... use the framework on the problem to get a WCtoACFG self reduction.
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https://deepai.org/publication/new-techniques-for-proving-fine-grained-average-case-hardness
This paper defines new versions of OV, kSUM and zero-k-clique that ... use the framework on the problem to get a WCtoACFG self reduction.
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82
Convex relaxation for the planted clique, biclique, and ...
https://bpames.people.ua.edu/uploads/3/9/0/0/39000767/ames_brendan.pdf
that the input graph contains a large clique or biclique plus additional nodes and ... Self-scaled barriers and interior-point methods for.
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https://bpames.people.ua.edu/uploads/3/9/0/0/39000767/ames_brendan.pdf
that the input graph contains a large clique or biclique plus additional nodes and ... Self-scaled barriers and interior-point methods for.
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83
Giving a step-by-step reduction from SAT to TSP and giving ...
https://fse.studenttheses.ub.rug.nl/11906/1/Masja_Bronts_2014_WB.pdf
Finding a direct reduction proved to be difficult, so we will reduce SAT to TSP via CLIQUE, Vertex Cover and Hamiltonian Circuit.
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https://fse.studenttheses.ub.rug.nl/11906/1/Masja_Bronts_2014_WB.pdf
Finding a direct reduction proved to be difficult, so we will reduce SAT to TSP via CLIQUE, Vertex Cover and Hamiltonian Circuit.
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84
Andrea Lincoln (Theory Seminar) | Computer Science
https://cse.ucsd.edu/research/andrea-lincoln-theory-seminar
We will define new versions of OV, kSUM and zero-k-clique that are ... use the framework on the problem to get a WCtoACFG self reduction.
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https://cse.ucsd.edu/research/andrea-lincoln-theory-seminar
We will define new versions of OV, kSUM and zero-k-clique that are ... use the framework on the problem to get a WCtoACFG self reduction.
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85
Finding k-cliques can be done in polynomial time, but ... - Quora
https://www.quora.com/Finding-k-cliques-can-be-done-in-polynomial-time-but-if-we-needed-for-example-4-cliques-for-an-output-from-say-for-example-a-50-input-n-could-this-still-be-done-in-polynomial-time-or-does-it-move-to-exponential-time
You: Okay, I ran my program using your graph as input. It found a 4-clique involving the nodes A, B, C, and D. You can easily see for yourself that that's right ...
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https://www.quora.com/Finding-k-cliques-can-be-done-in-polynomial-time-but-if-we-needed-for-example-4-cliques-for-an-output-from-say-for-example-a-50-input-n-could-this-still-be-done-in-polynomial-time-or-does-it-move-to-exponential-time
You: Okay, I ran my program using your graph as input. It found a 4-clique involving the nodes A, B, C, and D. You can easily see for yourself that that's right ...
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86
Counting weighted independent sets beyond the permanent
https://algorithms.leeds.ac.uk/wp-content/uploads/sites/117/2017/09/clawfreeperfect-sub.pdf
since they are self-reducible by vertex deletion. ... A clique K in a graph G = (V,E) is a subset of V such that G[K] is a complete graph.
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https://algorithms.leeds.ac.uk/wp-content/uploads/sites/117/2017/09/clawfreeperfect-sub.pdf
since they are self-reducible by vertex deletion. ... A clique K in a graph G = (V,E) is a subset of V such that G[K] is a complete graph.
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87
Linear Degree Extractors and Inapproximability
https://theoryofcomputing.org/articles/v003a006/v003a006.pdf
Key words and phrases: extractor, disperser, clique, chromatic number, approximation, ... In this paper we derandomize Håstad's randomized reduction:.
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https://theoryofcomputing.org/articles/v003a006/v003a006.pdf
Key words and phrases: extractor, disperser, clique, chromatic number, approximation, ... In this paper we derandomize Håstad's randomized reduction:.
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88
Data Reduction and Exact Algorithms for Clique Cover
http://www.akt.tu-berlin.de/fileadmin/fg34/publications-akt/clique-cover-jea07.pdf
To cover the edges of a graph with a minimum number of cliques is an NP-hard problem ... Additional Key Words and Phrases: Clique cover; Data reduction; ...
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http://www.akt.tu-berlin.de/fileadmin/fg34/publications-akt/clique-cover-jea07.pdf
To cover the edges of a graph with a minimum number of cliques is an NP-hard problem ... Additional Key Words and Phrases: Clique cover; Data reduction; ...
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89
28.17. Reduction of Independent Set to Vertex Cover
https://opendsa-server.cs.vt.edu/ODSA/Books/Everything/html/independentSet_to_vertexCover.html
This reduction can help in providing an NP Completeness proof for the Vertex Cover problem. Contact Us || Privacy | | License « 28.16. Reduction of Clique to ...
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https://opendsa-server.cs.vt.edu/ODSA/Books/Everything/html/independentSet_to_vertexCover.html
This reduction can help in providing an NP Completeness proof for the Vertex Cover problem. Contact Us || Privacy | | License « 28.16. Reduction of Clique to ...
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90
12.6. The Clique Problem
http://www.cs.ecu.edu/karl/6420/spr16/Notes/NPcomplete/clique.html
Cliques. Suppose that G is an undirected graph. Say that a set S of vertices of G form a clique if each vertex in S ...
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http://www.cs.ecu.edu/karl/6420/spr16/Notes/NPcomplete/clique.html
Cliques. Suppose that G is an undirected graph. Say that a set S of vertices of G form a clique if each vertex in S ...
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91
DAA | Clique Problem - javatpoint
https://www.javatpoint.com/daa-clique-problem
DAA | Clique Problem with daa tutorial, introduction, Algorithm, ... After Reduction/Conversion from 3CNF to CLIQUE, you will get P variables such as: - x ...
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https://www.javatpoint.com/daa-clique-problem
DAA | Clique Problem with daa tutorial, introduction, Algorithm, ... After Reduction/Conversion from 3CNF to CLIQUE, you will get P variables such as: - x ...
→ Check Latest Keyword Rankings ←
92
The Clique Algorithm - Ashay Dharwadker
http://www.dharwadker.org/clique/clique.pdf
We present a new polynomial-time CLIQUE ALGORITHM for finding maximal ... [1] R.M. Karp, Reducibility among combinatorial problems, Complexity of Computer.
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http://www.dharwadker.org/clique/clique.pdf
We present a new polynomial-time CLIQUE ALGORITHM for finding maximal ... [1] R.M. Karp, Reducibility among combinatorial problems, Complexity of Computer.
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93
Complexity Results on Graphs with Few Cliques
https://dmtcs.episciences.org/387/pdf
A clique in a graph is a subgraph in which every two vertices ... We use a simple reduction from the k-colouring problem to the k + 1-colouring problem to ...
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https://dmtcs.episciences.org/387/pdf
A clique in a graph is a subgraph in which every two vertices ... We use a simple reduction from the k-colouring problem to the k + 1-colouring problem to ...
→ Check Latest Keyword Rankings ←
94
Clique Relaxations in Biological and Social Networks - AWS
http://surveygizmoresponseuploads.s3.amazonaws.com/fileuploads/11364/363557/211-8459352bb232d686f142cf5d9e5ad81d_FA9550-12-1-0103.pdf
for the study of clique relaxation models arising in biological and social networks ... The presence of heredity allows to develop effective scale-reduction ...
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http://surveygizmoresponseuploads.s3.amazonaws.com/fileuploads/11364/363557/211-8459352bb232d686f142cf5d9e5ad81d_FA9550-12-1-0103.pdf
for the study of clique relaxation models arising in biological and social networks ... The presence of heredity allows to develop effective scale-reduction ...
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95
Algorithms and Computation: 9th International Symposium, ...
https://books.google.com/books?id=MhNqCQAAQBAJ&pg=PA440&lpg=PA440&dq=clique+self+reducibility&source=bl&ots=SOMlnxPXfg&sig=ACfU3U07LduYwmIIR8AU3cxg5269dDzDvw&hl=en&sa=X&ved=2ahUKEwimjZfysbn7AhVmVaQEHcGpCmcQ6AF6BAguEAM
Feige and Kilian [17] previously used this approach to study the complexity of Log Clique. We begin by introducing the notion of self-reducibility.
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https://books.google.com/books?id=MhNqCQAAQBAJ&pg=PA440&lpg=PA440&dq=clique+self+reducibility&source=bl&ots=SOMlnxPXfg&sig=ACfU3U07LduYwmIIR8AU3cxg5269dDzDvw&hl=en&sa=X&ved=2ahUKEwimjZfysbn7AhVmVaQEHcGpCmcQ6AF6BAguEAM
Feige and Kilian [17] previously used this approach to study the complexity of Log Clique. We begin by introducing the notion of self-reducibility.
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96
CSL '89: 3rd Workshop on Computer Science Logic. ...
https://books.google.com/books?id=8LZLEyNmidQC&pg=PA170&lpg=PA170&dq=clique+self+reducibility&source=bl&ots=Y6rm_OThJy&sig=ACfU3U3CWQcyUb21dDbXMtyYelDE-xfMFA&hl=en&sa=X&ved=2ahUKEwimjZfysbn7AhVmVaQEHcGpCmcQ6AF6BAgvEAM
As an example we consider the notion of self - reducibility . ... Example 4.1 CLIQUE is FO - self - reducible : Let E be a graph , i.e. an irreflexive ...
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https://books.google.com/books?id=8LZLEyNmidQC&pg=PA170&lpg=PA170&dq=clique+self+reducibility&source=bl&ots=Y6rm_OThJy&sig=ACfU3U3CWQcyUb21dDbXMtyYelDE-xfMFA&hl=en&sa=X&ved=2ahUKEwimjZfysbn7AhVmVaQEHcGpCmcQ6AF6BAgvEAM
As an example we consider the notion of self - reducibility . ... Example 4.1 CLIQUE is FO - self - reducible : Let E be a graph , i.e. an irreflexive ...
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