A categorification for the Tutte polynomial

For each graph, we construct a bigraded chain complex whose graded Euler characteristic is a version of the Tutte polynomial. This work is motivated by earlier work of Khovanov, Helme-Guizon and Rong, and others.

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Keywords

Khovanov homology, Tutte polynomial, categorification, graph polyomial

Mathematical Subject Classification 2000

Primary: 05C15

Secondary: 57M27, 55N35

References

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Publication

Received: 24 January 2006

Accepted: 5 July 2006

Published: 19 November 2006

Authors

Edna F Jasso-Hernandez
Department of Mathematics George Washington University Washington, DC 20052 USA

Yongwu Rong
Department of Mathematics George Washington University Washington, DC 20052 USA

Volume 6, issue 5 (2006)

Edna F Jasso-Hernandez and Yongwu Rong

Abstract