Article ID Journal Published Year Pages File Type
4652658 Electronic Notes in Discrete Mathematics 2008 6 Pages PDF
Abstract

The edge strength s′(G) of a multigraph G is the minimum number of colors in a minimum sum edge coloring of G. We give closed formulas for the edge strength of bipartite multigraphs and multicycles. These are shown to be classes of multigraphs for which the edge strength is always equal to the chromatic index.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics