A characterization of edge-perfect graphs and the complexity of recognizing some combinatorial optimization games

We characterize edge-perfect graphs and prove that it is co-NP-complete to recognize them. In consequence, recognizing the defining matrices of totally balanced packing games is also co-NP-complete, in contrast with the polynomiality for the covering case. In addition, we solve the computational com...

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Detalhes bibliográficos
Autores: Dobson, Maria Patricia, Leoni, Valeria Alejandra, Nasini, Graciela Leonor
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2013
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositório:CONICET Digital (CONICET)
Idioma:inglês
OAI Identifier:oai:ri.conicet.gov.ar:11336/79345
Acesso em linha:http://hdl.handle.net/11336/79345
Access Level:Acceso aberto
Palavra-chave:Edge-Perfect
Graph
Np-Completeness
Totally Balanced Game
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descrição
Resumo:We characterize edge-perfect graphs and prove that it is co-NP-complete to recognize them. In consequence, recognizing the defining matrices of totally balanced packing games is also co-NP-complete, in contrast with the polynomiality for the covering case. In addition, we solve the computational complexity of universally balanced (with respect to the resources constraints) packing games.