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A categorification for the Tutte polynomial

Edna F Jasso-Hernandez and Yongwu Rong
Algebraic & Geometric Topology 6 (2006) 2031–2049
DOI: 10.2140/agt.2006.6.2031

arXiv: math.CO/0512613
Abstract

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.

Keywords
Khovanov homology, Tutte polynomial, categorification, graph polyomial
Mathematical Subject Classification 2000
Primary: 05C15
Secondary: 57M27, 55N35
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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