Computing the partition function for graph homomorphisms

Abstract

We introduce the partition function of edge-colored graph homomorphisms, of which the usual partition function of graph homomorphisms is a specialization, and present an efficient algorithm to approximate it in a certain domain. Corollaries include efficient algorithms for computing weighted sums approximating the number of k-colorings and the number of… (More)
DOI: 10.1007/s00493-016-3357-2

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