Chromatic Polynomials and the Symmetric Group

Pitteloud, Philippe (2004) Chromatic Polynomials and the Symmetric Group. In: Graphs and Combinatorics, 20 (1). pp. 131-144.

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Abstract

In this paper we give first a new combinatorial interpretation of the coefficients of chromatic polynomials of graphs in terms of subsets of permutations. Motivated by this new interpretation, we introduce next a combinatorially defined polynomial associated to a directed graph, and prove that it is related to chromatic polynomials. These polynomials are a specialization of cover polynomials of digraphs.

Item Type:	Journal Article
Publication:	Graphs and Combinatorics
Publisher:	Springer
Additional Information:	Copyright of this article belongs to Springer.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	30 Jun 2006
Last Modified:	19 Sep 2010 04:29
URI:	http://eprints.iisc.ac.in/id/eprint/7814

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