Graph Cohomologies from Arbitrary Algebras
  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 $\mathbb {Z}[x]/(x^2)$. 
Laure Helme-Guizon, Yongwu Rong