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Specht modules and chromatic polynomials

Biggs, Norman (2003) Specht modules and chromatic polynomials. CDAM research report, LSE-CDAM-2003-06. Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.

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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.

Item Type: Monograph (Report)
Official URL: http://www.cdam.lse.ac.uk
Additional Information: © 2003 the author
Library of Congress subject classification: Q Science > QA Mathematics
Sets: Departments > Mathematics
Research centres and groups > Computational, Discrete and Applicable Mathematics@LSE (CDAM)
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Identification Number: LSE-CDAM-2003-06
Date Deposited: 05 Dec 2008 14:15
URL: http://eprints.lse.ac.uk/14015/

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