Characterizing partition functions of the vertex model

Details Characterizing partition functions of the vertex model Characterizing partition functions of the vertex model

2011-02-24

arxiv.org/abs/1102.4985v1

Mathematics

Combinatorics

Scientific paper

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.

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