%0 Journal Article %T Characterizing partition functions of the vertex model %A Jan Draisma %A Dion Gijswijt %A L¨˘szl¨® Lov¨˘sz %A Guus Regts %A Alexander Schrijver %J Mathematics %D 2011 %I arXiv %X 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. %U http://arxiv.org/abs/1102.4985v1