Formulations and valid inequalities for the node capacitated graph partitioning problem

Journal article


Publication Details

Author(s): E. Ferreira C, Martin A, de Souza CC, Weismantel R, Wolsey L
Journal: Mathematical Programming
Publication year: 1996
Volume: 74
Pages range: 247 - 266
ISSN: 0025-5610
Language: English


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.



FAU Authors / FAU Editors

Martin, Alexander Prof. Dr.
Economics - Discrete Optimization - Mathematics (EDOM)


External institutions with authors

Konrad-Zuse-Zentrum für Informationstechnik / Zuse Institute Berlin (ZIB)
Université Catholique de Louvain (UCL)
University of São Paulo / Universidade de São Paulo (USP)


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.

BibTeX: 

Last updated on 2018-10-08 at 05:23