Article ID Journal Published Year Pages File Type
4654388 European Journal of Combinatorics 2008 16 Pages PDF
Abstract

We  prove a general theorem on semigroup functions that implies characterizations of graph partition functions in terms of the positive semidefiniteness (‘reflection positivity’) and rank of certain derived matrices. The theorem can be applied to undirected and directed graphs as well as hypergraphs.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Authors
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