A remark on the Whitney Broken Circuit Theorem
Paula M. S. Fialho, Emanuel Juliano, Aldo Procacci · arXiv (Cornell University) · 2024
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.