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Specht modules and chromatic polynomials

By Norman Biggs

Abstract

An explicit formula for the chromatic polynomials of certain families of graphs, called ‘bracelets’, is obtained. The terms correspond to irreducible representations of symmetric groups. The theory is developed using the standard bases for the Specht modules of representation theory, and leads to an effective means of calculation

Topics: QA Mathematics
Publisher: Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science
Year: 2003
OAI identifier: oai:eprints.lse.ac.uk:14015
Provided by: LSE Research Online
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