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CHROMATIC POLYNOMIALS FOR TWISTED BRACELETS

Published online by Cambridge University Press:  15 March 2002

NORMAN BIGGS
NORMAN BIGGS
Affiliation:
Centre for Discrete and Applicable Mathematics, London School of Economics, Houghton Street, London WC2A 2AE n.l.biggs@lse.ac.uk
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Abstract

This paper is concerned with the chromatic polynomials of ‘bracelets’: specifically, graphs constructed by taking n copies of a complete graph and linking them together in a ring. Using a sieve method, explicit formulae for the dominant and subdominant terms of the chromatic polynomial are obtained. Finally, a simple description of the effect of twisting the links is obtained.

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Type
PAPERS
Information
Bulletin of the London Mathematical Society , Volume 34 , Issue 2 , March 2002 , pp. 129 - 139
Copyright
© 2002 The London Mathematical Society

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