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Graph Cohomologies from Arbitrary Algebras

Laure Helme-Guizon·Yongwu Rong
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Abstract

For each commutative, graded algebra with finite dimension in each degree, we construct a graded cohomology theory for graphs whose graded Euler characteristic is the chromatic polynomial of the graph. This extends our previous work which was based on the algebra $\mathbb {Z}[x]/(x^2)$.

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Laure Helme-Guizon, Yongwu Rong. 2005-06-01. Graph Cohomologies from Arbitrary Algebras. https://arxiv.org/abs/math/0506023

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