Formulations and Valid Inequalities for the Node Capacitated Graph Partitioning Problem

Carlos E. Ferreira, Alexander Martin, Cid C. de SOUZA and Robert Weismantel
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Carlos E. Ferreira: Universidade de Sao Paulo, Brazil
Alexander Martin: Konrad-Zuse-Zentrum fiir Informationstechnik Berlin
Cid C. de SOUZA: CORE, Université catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium
Robert Weismantel: Konrad-Zuse-Zentrum fUr Informationstechnik Berlin

No 1994037, LIDAM Discussion Papers CORE from Université catholique de Louvain, Center for Operations Research and Econometrics (CORE)

Abstract: We investigate the problem of partitioning the nodes of a graph under capacity restriction on the sum of the node weights in each subset of the partition. The objective is to minimize the sum of the costs of the edges between the subsets of the partition. This problem has a variety of applications, for instance in the design of electronic circuits and devices. We present alternative integer programming formulations for this problem and discuss the links between these formulations. Having chosen to work in the space of edges of the multicut, we investigate the convex hull of incidence vectors of feasible multicuts. In particular, several classes of inequalities are introduced, and their strength and robustness are analyzed as various problem parameters change.

Keywords: clustering; graph partitioning; equipartition; knapsack; integer programming; ear decomposition (search for similar items in EconPapers)
Date: 1994-08-01
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Persistent link: https://EconPapers.repec.org/RePEc:cor:louvco:1994037

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