Centre for Discrete and Applicable Mathematics |
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CDAM Research Report, LSE-CDAM-99-08August 1999 |
Norman Biggs
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 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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