Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4656930 | Journal of Combinatorial Theory, Series B | 2013 | 25 Pages |
Abstract
We find zero-free regions in the complex plane at large |q| for the multivariate Tutte polynomial (also known in statistical mechanics as the Potts-model partition function) ZG(q,w) of a graph G with general complex edge weights w={we}. This generalizes a result of Sokal (2001) [28] that applies only within the complex antiferromagnetic regime |1+we|⩽1. Our proof uses the polymer-gas representation of the multivariate Tutte polynomial together with the Penrose identity.
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Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics