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Branch-and-Cut approaches for p-Cluster Editing

Teobaldo Bulhões(tbulhoes***at***ic.uff.br)
Gilberto Sousa(gilberto***at***ci.ufpb.br)
Anand Subramanian(anand***at***ct.ufpb.br)
Lucídio Cabral(lucidio***at***ci.ufpb.br)

Abstract: This paper deals with a variant of the well-known Cluster Editing Problem (CEP), more precisely, the \textit{p}-CEP, in which a given input graph should be edited by adding and/or removing edges in such a way that \textit{p} vertex-disjoint cliques (clusters) are generated with the minimum number of editions. We introduce several valid inequalities where some of them turned out to be very effective when implemented in branch-and-cut approaches over two mathematical formulations. Computational experiments were carried out over a set of instances available in the CEP literature. The results obtained show the efficiency of the approaches according to the value of \textit{p}, the graph density and the ratio between \textit{p} and the number of vertices.

Keywords: Cluster Editing , Valid Inequalities , Branch-and-cut

Category 1: Combinatorial Optimization (Branch and Cut Algorithms )

Citation: Working Paper, UFPB

Download: [PDF]

Entry Submitted: 05/26/2016
Entry Accepted: 06/01/2016
Entry Last Modified: 05/26/2016

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