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Organizers |
A categorification for the Tutte polynomial
by
E. Fanny Jasso-Hernandez
George Washington University
Coauthors: Yongwu Rong
In 2004, inspired by M. Khovanov's graded homology theory, L. Helme-Guizon and Y. Rong constructed a graded homology theory for graphs. The graded Euler characteristic of these cohomology groups yields the chromatic polynomial.
Using similar ideas, given a graph G, we explain how to define a chain complex in such a way that the graded Euler Characteristic of its cohomology groups is essentially the Tutte polynomial. This is joint work with Yongwu Rong.
Date received: December 6, 2005
Copyright © 2005 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # carw-20.