On the computational complexity of strong edge coloring

In the strong edge coloring problem, the objective is to color the edges of the given graph with the minimum number of colors so that every color class is an induced matching. In this paper, we will prove that this problem is NP-complete even in a very restricted setting. Also, a closely related problem, namely the maximum antimatching problem, is studied, and some NP-completeness results and a polynomial time algorithm for a subproblem are derived. ? 2002 Elsevier Science B.V. All rights reserved.

• Type: Journal
• Year: 2002
• Where: DAM
• Authors: Mohammad Mahdian
• Keywords: DAM 2002, Edge Coloring Problem, Maximum Antimatching Problem, Related Problem