Journal of Graph Algorithms and Applications
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The Min-Max Edge q-Coloring Problem
Tommi Larjomaa and Alexandru Popa
Vol. 19, no. 1, pp. 507-528, 2015. Regular paper.
Abstract In this paper we introduce and study a new problem named min-max edge q-coloring which is motivated by applications in wireless mesh networks. The input of the problem consists of an undirected graph and an integer q. The goal is to color the edges of the graph with as many colors as possible such that: (a) any vertex is incident to at most q different colors, and (b) the maximum size of a color group (i.e. set of edges identically colored) is minimized. We show the following results:
Submitted: January 2015.
Accepted: September 2015.
Final: September 2015.
Published: October 2015.
Communicated by Xin He