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A branch-and-price algorithm for the ( k,c )-coloring problem

Author:
Malaguti, Enrico   Méndez-Díaz, Isabel   José Miranda-Bront, Juan   Zabala, Paula   


Journal:
Networks


Issue Date:
2015


Abstract(summary):

In this article, we study the (k,c)-coloring problem, a generalization of the vertex coloring problem where we have to assign k colors to each vertex of an undirected graph, and two adjacent vertices can share at most c colors. We propose a new formulation for the (k,c)-coloring problem and develop a Branch-and-Price algorithm. We tested the algorithm on instances having from 20 to 80 vertices and different combinations for k and c, and compare it with a recent algorithm proposed in the literature. Computational results show that the overall approach is effective and has very good performance on instances where the previous algorithm fails. (c) 2014 Wiley Periodicals, Inc. NETWORKS, 2014 Vol. 65(4), 353-366 2015


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