Characterizing partition functions of the vertex model
classification
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math.RA
keywords
modelvertexcharacterizefunctionspartitionalgebraicallycharacteristiccharacterizing
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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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