English

Characterizing partition functions of the vertex model

Combinatorics 2011-02-25 v1 Rings and Algebras

Abstract

We characterize which graph parameters are partition functions of a vertex model over an algebraically closed field of characteristic 0 (in the sense of de la Harpe and Jones). We moreover characterize when the vertex model can be taken so that its moment matrix has finite rank.

Cite

@article{arxiv.1102.4985,
  title  = {Characterizing partition functions of the vertex model},
  author = {Jan Draisma and Dion Gijswijt and László Lovász and Guus Regts and Alexander Schrijver},
  journal= {arXiv preprint arXiv:1102.4985},
  year   = {2011}
}
R2 v1 2026-06-21T17:31:09.575Z