Graph parameters and semigroup functions

Open Access
Authors
Publication date 2008
Journal European journal of combinatorics = Journal européen de combinatoire = Europäische Zeitschrift für Kombinatorik
Volume | Issue number 29 | 4
Pages (from-to) 987-1002
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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.
Document type Article
Published at https://doi.org/10.1016/j.ejc.2007.11.008
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