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The Negami Polynomial and Broken-Circuit Stanley--Reisner Rings
We establish a direct connection between Seiya Negami's three-variable graph polynomial $f(G;t,x,y)$ and the Stanley-Reisner ring of the broken-circuit complex of the graphic matroid. For a connected loopless graph $G$, the chromatic specialization $f(G;q,-1,1)=P_G(q)$ together with Whitney's broken
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