Centre for Discrete and Applicable Mathematics

 CDAM Research Report, LSE-CDAM-99-08

August 1999

Chromatic polynomials for twisted bracelets

Norman Biggs


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 the compatibility matrix, explicit formulae for the dominant and subdominant terms of the chromatic polynomial are obtained. A simple result describing the effect of twisting the links is obtained.

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