Title
A Metaheuristic Approach for the Vertex Coloring Problem
Abstract
Given an undirected graph G = (V, E), the vertex coloring problem (VCP) requires to assign a color to each vertex in such a way that colors on adjacent vertices are different and the number of colors used is minimized. In this paper, we propose a metaheuristic approach for VCP that performs two phases: the first phase is based on an evolutionary algorithm, whereas the second one is a postoptimization phase based on the set covering formulation of the problem. Computational results on a set of DIMACS instances show that the overall algorithm is able to produce high-quality solutions in a reasonable amount of time. For four instances, the proposed algorithm is able to improve the best-known solution while for almost all the remaining instances, it finds the best-known solution in the literature.
Year
DOI
Venue
2008
10.1287/ijoc.1070.0245
INFORMS Journal on Computing
Keywords
Field
DocType
computational result,postoptimization phase,adjacent vertex,overall algorithm,vertex coloring problem,evolutionary algorithm,best-known solution,high-quality solution,metaheuristic approach,dimacs instance,proposed algorithm,heuristics
Complete coloring,Discrete mathematics,Mathematical optimization,Combinatorics,Fractional coloring,Vertex (geometry),Evolutionary algorithm,Vertex (graph theory),Vertex cover,Feedback vertex set,Mathematics,Metaheuristic
Journal
Volume
Issue
ISSN
20
2
1091-9856
Citations 
PageRank 
References 
61
2.23
9
Authors
3
Name
Order
Citations
PageRank
Enrico Malaguti131221.69
Michele Monaci2104960.78
Paolo Toth321510.79