Abstract
Abstract We establish for which weighted graphs H homomorphism functions from multigraphs G to H are specializations of the Tutte polynomial of G , answering a question of Freedman, Lovasz and Schrijver. We introduce a new property of graphs called “ q -state Potts uniqueness” and relate it to chromatic and Tutte uniqueness, and also to “chromatic–flow uniqueness”, recently studied by Duan, Wu and Yu.
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