Abstract
For each graph we construct graded cohomology groups whose graded Euler characteristic is the chromatic polynomial of the graph. We show the cohomology groups satisfy a long exact sequence which corresponds to the well-known deletion-contraction rule. This work is motivated by Khovanov’s work on categorification of the Jones polynomial of knots.
Citation
Laure Helme-Guizon. Yongwu Rong. "A categorification for the chromatic polynomial." Algebr. Geom. Topol. 5 (4) 1365 - 1388, 2005. https://doi.org/10.2140/agt.2005.5.1365
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