Formulations and valid inequalities for the node capacitated graph partitioning problem

E. Ferreira C, Martin A, de Souza CC, Weismantel R, Wolsey L (1996)

Publication Language: English

Publication Type: Journal article

Publication year: 1996

Journal

Mathematical Programming Springer Verlag (Germany)

Book Volume: 74

Pages Range: 247 - 266

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.

Authors with CRIS profile

Alexander Martin Economics - Discrete Optimization - Mathematics (EDOM)

Involved external institutions

University of São Paulo / Universidade de São Paulo (USP) BR Brazil (BR) Konrad-Zuse-Zentrum für Informationstechnik / Zuse Institute Berlin (ZIB) DE Germany (DE) Université Catholique de Louvain (UCL) BE Belgium (BE)

How to cite

APA:

E. Ferreira, C., Martin, A., de Souza, C.C., Weismantel, R., & Wolsey, L. (1996). Formulations and valid inequalities for the node capacitated graph partitioning problem. Mathematical Programming, 74, 247 - 266.

MLA:

E. Ferreira, Carlos, et al. "Formulations and valid inequalities for the node capacitated graph partitioning problem." Mathematical Programming 74 (1996): 247 - 266.

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