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Sharp thresholds for constraint satisfaction problems and homomorphisms

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 16 Jun 2008Embargo end date: 01 Mar 2009 English Publisher:WileyJournal:Random Structures & Algorithms, volume 33, pages 310-332 (issn: 1042-9832, eissn: 1098-2418, Copyright policy )
Authors: Hamed Hatami; Michael Molloy 0001;

doi: 10.1002/rsa.20225 , 10.48550/arxiv.0903.2579

arXiv: 0903.2579

Sharp thresholds for constraint satisfaction problems and homomorphisms

Abstract

AbstractWe determine under which conditions certain natural models of random constraint satisfaction problems have sharp thresholds of satisfiability. These models include graph and hypergraph homomorphism, the (d,k,t)‐model, and binary constraint satisfaction problems with domain size three. © 2008 Wiley Periodicals, Inc. Random Struct. Alg., 2008

Related Organizations
Keywords

satisfaction problems, random constraint, Probability (math.PR), 05C80, Random graphs (graph-theoretic aspects), satisfiability thresholds, Hypergraphs, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), random graphs, Mathematics - Probability

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    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 28
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
28
Top 10%
Top 10%
Top 10%
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bronze
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