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A Polynomially Searchable Exponential Neighbourhood for Graph Colouring

Glass, Celia A. and Prügel-Bennett, Adam (2005) A Polynomially Searchable Exponential Neighbourhood for Graph Colouring Journal of the Operational Research Society, 56, (3), pp. 324-330.

Record type: Article

Abstract

In this paper we develop a new graph colouring strategy. Our heuristic is an example of a so called "polynomially searchable exponential neighbourhood" approach. The neighbourhood is that of permutations of the colours of vertices of a subgraph. Our approach provides a solution method for colouring problems with edge weights. Results for initial tests on unweighted K-colouring benchmark problems are presented. Our colour permutation move was found in practice to be too slow to justify its use on these problems. By contrast, our implementation of iterative descent, which incorporates a permutation kickback move, performed extremely well. Moreover, our approach may yet prove valuable for weighted K-colouring. In addition, our approach offers an improved measure of the distance between colourings of a graph. Key words: Graph colouring, Optimisation, Heuristics, Local search, Exponential neighbourhood.

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Published date: March 2005
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 256036
URI: http://eprints.soton.ac.uk/id/eprint/256036
ISSN: 0160-5682
PURE UUID: 8c0f25d2-3555-4a45-85a1-f1659c1d653b

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Date deposited: 26 Sep 2001
Last modified: 18 Jul 2017 09:49

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Contributors

Author: Celia A. Glass
Author: Adam Prügel-Bennett

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