Article ID Journal Published Year Pages File Type
4652663 Electronic Notes in Discrete Mathematics 2008 6 Pages PDF
Abstract

We study properties of graphs related to the existence of certain vertex and edge partitions. These properties give sufficient conditions for a graph to be Class 1 (i.e., edge-colorable with maximum degree colors). We apply these conditions for solving the classification problem for graphs with acyclic core (the subgraph induced by the maximum degree vertices), and for subclasses of join graphs and cobipartite graphs.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics