Equimodular curves

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. MSC 2000: 05C15, 05C50, 05E99. 

• Type: Journal
• Year: 2002
• Where: DM
• Authors: Norman Biggs
• Keywords: DM 2002, Dominant Equimodular Curves, Equimodular Curves, Reducible Matrix