Title: Zero-free regions of partition functions with applications to algorithms and graph limits
Abstract:Based on a technique of Barvinok and Barvinok and Soberon we identify a class of edge-coloring models whose partition functions do not evaluate to zero on bounded degree graphs. Subsequently we give a...Based on a technique of Barvinok and Barvinok and Soberon we identify a class of edge-coloring models whose partition functions do not evaluate to zero on bounded degree graphs. Subsequently we give a quasi-polynomial time approximation scheme for computing these partition functions. As another application we show that the normalised partition functions of these models are continuous with respect the Benjamini-Schramm topology on bounded degree graphs. We moreover give quasi-polynomial time approximation schemes for evaluating a large class of graph polynomials, including the Tutte polynomial, on bounded degree graphs.Read More
Publication Year: 2015
Publication Date: 2015-07-08
Language: en
Type: preprint
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Cited By Count: 3
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