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Un Algorithme pour la Bipartition d'un Graphe en Sous-graphes de Cardinalité Fixée

Published online by Cambridge University Press:  15 August 2002

Philippe Michelon ,
Stéphanie Ripeau  and
Nelson Maculan
Philippe Michelon
Affiliation:
Laboratoire d'Informatique d'Avignon, UAPV, BP. 1228, 84911 Avignon Cedex 9, France.
Stéphanie Ripeau
Affiliation:
Université de Montréal, DIRO, CP. 6128, Succursale Centre-Ville, Montréal (Québec) H3C 3J7 Canada.
Nelson Maculan
Affiliation:
Universidade Federal do Rio de Janeiro, COPPE/Sistemas, P.O. Box 68511, Rio de Janeiro, RJ 21945–790, Brésil.
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Abstract

A branch-and-bound method for solving the min cut with size constraint problem is presented. At each node of the branch-and-bound tree the feasible set is approximated by an ellipsoid and a lower bound is computed by minimizing the quadratic objective function over this ellipsoid. An upper bound is also obtained by a Tabu search method. Numerical results will be presented.

Type
Research Article
Information
RAIRO - Operations Research , Volume 35 , Issue 4 , October 2001 , pp. 401 - 414
Copyright
© EDP Sciences, 2001

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