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Chromatic polynomials of some families of graphs I: theorems and conjectures

Biggs, Norman (2005) Chromatic polynomials of some families of graphs I: theorems and conjectures. CDAM research report series, CDAM-LSE-2005-09. Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.

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Abstract

The chromatic polynomials of ‘bracelets’ can be studied by means of a theory based on representations of the symmetric group. This paper contains a detailed study of the theory as it relates to one type of bracelet. The underlying theory is presented rather more clearly than hitherto, and some surprising features are exhibited. The methods involve an extension of the standard theory of distance-regular graphs, and they lead to several plausible conjectures.

Item Type: Monograph (Report)
Official URL: http://www.cdam.lse.ac.uk
Additional Information: © 2005 the author
Library of Congress subject classification: Q Science > QA Mathematics
Sets: 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: CDAM-LSE-2005-09
Date Deposited: 23 Oct 2008 11:56
URL: http://eprints.lse.ac.uk/13923/

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