On Maximum Weight Clique Algorithms, and How They Are Evaluated

McCreesh, C., Prosser, P., Simpson, K. and Trimble, J. (2017) On Maximum Weight Clique Algorithms, and How They Are Evaluated. In: CP2017: The 23rd International Conference on Principles and Practice of Constraint Programming, Melbourne, Australia, 28 Aug - 1 Sept 2017, pp. 206-225. ISBN 9783319661575 (doi:10.1007/978-3-319-66158-2_14)

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Abstract

Maximum weight clique and maximum weight independent set solvers are often benchmarked using maximum clique problem instances, with weights allocated to vertices by taking the vertex number mod 200 plus 1. For constraint programming approaches, this rule has clear implications, favouring weight-based rather than degree-based heuristics. We show that similar implications hold for dedicated algorithms, and that additionally, weight distributions affect whether certain inference rules are cost-effective. We look at other families of benchmark instances for the maximum weight clique problem, coming from winner determination problems, graph colouring, and error-correcting codes, and introduce two new families of instances, based upon kidney exchange and the Research Excellence Framework. In each case the weights carry much more interesting structure, and do not in any way resemble the 200 rule. We make these instances available in the hopes of improving the quality of future experiments.

Item Type:Conference Proceedings
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Trimble, Mr James and Prosser, Dr Patrick and Simpson, Mr Kyle and Mccreesh, Dr Ciaran
Authors: McCreesh, C., Prosser, P., Simpson, K., and Trimble, J.
College/School:College of Science and Engineering > School of Computing Science
ISBN:9783319661575
Published Online:23 August 2017
Copyright Holders:Copyright © 2017 Springer International Publishing AG
First Published:First published in Lecture Notes in Computer Science 10416
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher.
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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
608951Engineering and Physical Sciences Doctoral Training Grant 2012-16Mary Beth KneafseyEngineering and Physical Sciences Research Council (EPSRC)EP/K503058/1VPO VICE PRINCIPAL RESEARCH & ENTERPRISE
701101EPSRC 2015 DTPMary Beth KneafseyEngineering and Physical Sciences Research Council (EPSRC)EP/M508056/1RSI - RESEARCH STRATEGY & INNOVATION
3005250Modelling and Optimisation with GraphsPatrick ProsserEngineering and Physical Sciences Research Council (EPSRC)EP/P026842/1Computing Science