Some advances on the set covering polyhedron of circulant matrices

Studying the set covering polyhedron of consecutive ones circulant matrices, Argiroffo and Bianchi found a class of facet defining inequalities, induced by a particular family of circulant minors. In this work we extend these results to inequalities associated with every circulant minor. We also obt...

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Detalhes bibliográficos
Autores: Bianchi, Silvia María, Nasini, Graciela Leonor, Tolomei, Paola Beatriz
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/94352
Acesso em linha:http://hdl.handle.net/11336/94352
Access Level:acceso abierto
Palavra-chave:CIRCULANT MATRIX
SEPARATION ROUTINES
SET COVERING POLYHEDRON
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descrição
Resumo:Studying the set covering polyhedron of consecutive ones circulant matrices, Argiroffo and Bianchi found a class of facet defining inequalities, induced by a particular family of circulant minors. In this work we extend these results to inequalities associated with every circulant minor. We also obtain polynomial separation algorithms for particular classes of such inequalities.