The k-coloring fitness landscape

Hend Bouziri (), Khaled Mellouli and El-Ghazali Talbi
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Hend Bouziri: LARODEC-ISG, ESSEC
Khaled Mellouli: LARODEC-ISG, IHEC
El-Ghazali Talbi: LIFL, University of Lille 1, CNRS, INRIA

Journal of Combinatorial Optimization, 2011, vol. 21, issue 3, No 3, 306-329

Abstract: Abstract This paper deals with the fitness landscape analysis of the k-coloring problem. We study several standard instances extracted from the second DIMACS benchmark. Statistical indicators are used to investigate both global and local structure of fitness landscapes. An approximative distance on the k-coloring space is proposed to perform these statistical measures. Local search operator trajectories on various landscapes are then studied using the time series analysis. Results are used to better understand the behavior of metaheuristics based on local search when dealing with the graph coloring problem.

Keywords: k-coloring; Fitness landscape; Distance; Distribution of solutions; Time series (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s10878-009-9249-2

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