A wide‐ranging computational comparison of high‐performance graph colouring algorithms

A wide‐ranging computational comparison of high‐performance graph colouring algorithms

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Article ID: iaor20121247
Volume: 39
Issue: 9
Start Page Number: 1933
End Page Number: 1950
Publication Date: Sep 2012
Journal: Computers and Operations Research
Authors: , , ,
Keywords: graphical methods, literature survey, graph coloring
Abstract:

This paper reviews the current state of the literature surrounding methods for the general graph colouring problem and presents a broad comparison of six high‐performance algorithms, each belonging to one of the main algorithmic schemes identified. Unlike many previous computational studies in graph colouring, a large range of both artificially generated and real‐world graphs are considered, culminating in over 40,000 individual trials that have consumed more than a decade of computation time in total. The picture painted by the comparison is complex, with each method outperforming all others on at least one occasion; however, general patterns are also observed, particularly with regards to the advantages of hybridising local‐search techniques with global‐based operators.

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