Centre for Discrete and Applicable Mathematics

 CDAM Research Report, LSE-CDAM-2003-06

March 2003


Specht modules and chromatic polynomials

Norman Biggs

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.


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