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arxiv: math/0612391 · v1 · submitted 2006-12-14 · 🧮 math.CO · math.PR

Sharp Thresholds for Constraint Satisfaction Problem and Graph Homomorphisms

classification 🧮 math.CO math.PR
keywords constraintsatisfactiongraphmodelsproblemssharpthresholdsbinary
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We 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 3.

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