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Lagrangian relaxation and cutting planes for the vertex separator problem

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Autor(es):
Cavalcante, Victor F. ; de Souza, Cid C. ; Chen, B ; Paterson, M ; Zhang, G
Número total de Autores: 5
Tipo de documento: Artigo Científico
Fonte: Lecture Notes in Computer Science; v. 4614, p. 2-pg., 2007-01-01.
Resumo

In this paper we propose an algorithm for the vertex separator problem (VSP) based on Lagrangian Relaxation and on cutting planes derived from valid inequalities presented in [3]. The procedure is used as a preprocessing for the branch-and-cut (B&C) algorithm implemented for VSP in [12], aiming to generate an initial pool of cutting planes and a strong primal bound for the latter. Computational experiments show that the exact method obtained in that way outperforms the pure B&C algorithm recently introduced by de Souza and Balas in [12]. Besides, we show that the Lagrangian phase is a very effective heuristic for the VSP, often producing optimal solutions extremely fast. (AU)

Processo FAPESP: 03/09925-5 - Fundamentos da ciência da computação: algoritmos combinatórios e estruturas discretas
Beneficiário:Yoshiharu Kohayakawa
Modalidade de apoio: Auxílio à Pesquisa - Programa PRONEX - Temático