Centre for Discrete and Applicable Mathematics

 CDAM Research Report, LSE-CDAM-2001-01

January 2001

Equimodular curves for reducible matrices

Norman Biggs


This paper is a continuation of Equimodular curves, LSE-CDAM-2000-17. First, it is shown by algebraic means that the equimodular curves for a reducible matrix are closed curves. Then the question of dominance is investigated, and a method of constructing the dominant equimodular curves for a reducible matrix is suggested. The method is illustrated by examples that arise in the calculation of the chromatic polynomials of an interesting family of graphs.

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