An exact algorithm for the maximum weight perfect matching problem with conflicts

Temel Öncan, Hakan Akyuz, Kuban Altınel

Research output: Chapter/Conference proceedingConference proceedingAcademicpeer-review

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Abstract

In this work, we consider the maximum weight perfect matching problem with conflicts,
which is known to be N P-hard. We propose a tailor-made branch-and-bound algorithm with
a non-dichotomized branching rule based on a maximum weight stable set relaxation of the
problem. We have realized preliminary computational experiments on randomly generated test
instances and compared the computational performance of the new algorithm with the one of a
well-known commercial solver. Based on the obtained results we can say that it is promising.
Original languageEnglish
Title of host publicationProceedings of the 17th Cologne-Twente Workshop on Graphs and Combinatorial Optimization
Place of PublicationEnschede
Pages111-114
VolumeDSI Workshop Proceedings Series (online) WP19-01
Publication statusPublished - Jul 2019
Externally publishedYes

Bibliographical note

CTW 2019
Proceedings of the 17th Cologne-Twente Workshop on Graphs and Combinatorial Optimization
J.L. Hurink, S. Klootwijk, B. Manthey, V.M.J.J. Reijnders, M.H.H. Schoot Uiterkamp (eds.)
Enschede, University of Twente, Faculty of Electrical Engineering, Mathematics and Computer
Science 1–3 July 2019

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