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Sharp Thresholds for Constraint Satisfaction Problem and Graph Homomorphisms

Hamed Hatami, Michael Molloy

math.COarXiv:math/0612391

Abstract

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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