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Specht modules and chromatic polynomials
Authors:Norman Biggs
Institution:Centre for Discrete and Applicable Mathematics, London School of Economics, Houghton Street, London WC2A 2AE, UK
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.
Keywords:Chromatic polynomial  Standard tablean
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