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A remark on the Whitney Broken Circuit Theorem

Published 4 Jul 2024 in math.CO | (2407.04035v1)

Abstract: In the present note we show, via the connection between chromatic polynomial and Potts model, that the Whitney Broken circuit theorem is in fact a special case of a more general identity relating the chromatic polynomial of a graph G=(V,E) to sums over forests of G associated to some partition scheme in G.

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