A new two-variable generalization of the chromatic polynomial

We present a two-variable polynomial, which simultaneously generalizes the chromatic polynomial, the independence polynomial, and the matching polynomial of a graph. This new polynomial satisfies both an edge decomposition formula and a vertex decomposition formula. We establish two general exp...

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Bibliographic Details
Main Authors: Klaus Dohmen, André Poenitz, Peter Tittmann
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2003-06-01
Series:Discrete Mathematics & Theoretical Computer Science
Online Access:http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/178