A categorification for the chromatic polynomial

Details A categorification for the chromatic polynomial A categorification for the chromatic polynomial

2004-12-13

arxiv.org/abs/math/0412264v2

Algebr. Geom. Topol. 5 (2005) 1365-1388

Mathematics

Combinatorics

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-53.abs.html

Scientific paper

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.

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