IMAL 13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
On the facets of lift-and-project relaxations under graph operations
Autor/es:
AGUILERA, NESTOR EDGARDO; ESCALANTE, MARIANA SILVINA; FEKETE, PABLO GABRIEL
Revista:
DISCRETE APPLIED MATHEMATICS
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Lugar: Amsterdam; Año: 2014 vol. 164 p. 460 - 469
ISSN:
0166-218X
Resumen:
We study the behavior of lift-and-project procedures for solving combinatorial optimization problems as described by Lovász and Schrijver (1991) in the context of the stable set problem on graphs. Following the work of Wolsey (1976), Lipták and Lovász (2001) and Lipták and Tunçel (2003), we investigate how to generate facets of the relaxations obtained by these procedures from facets of the relaxations of the original graph, after applying fundamental graph operations. We show our findings for the odd and the star subdivision, the stretching of a node and a new operation defined herein called the clique subdivision of an edge.
