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: | Lewis R, Thompson J, Mumford C, Gillard J |
Keywords: | graphical methods, literature survey, graph coloring |
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.