Abstract:
A graph G is clique-perfect if the cardinality of a maximum clique-independent set of H is equal to the cardinality of a minimum clique-transversal of H, for every induced subgraph H of G. When equality holds for every clique subgraph of G, the graph is c-clique-perfect. A graph G is K-perfect when its clique graph K(G) is perfect. In this work, relations are described among the classes of perfect, K-perfect, clique-perfect and c-clique-perfect graphs. Besides, partial characterizations of K-perfect graphs using polyhedral theory and clique subgraphs are formulated.
Registro:
Documento: |
Artículo
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Título: | On clique-perfect and K-perfect graphs |
Autor: | Bonomo, F.; Durán, G.; Groshaus, M.; Szwarcfiter, J.L. |
Filiación: | Dep. de Computación, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina Dep. de Ingeniería Industrial, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago, Chile Instituto de Matemática, NCE, Universidade Federal do Rio de Janeiro, Caixa Postal 2324, 20001-970 Rio de Janeiro, RJ, Brazil
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Palabras clave: | Clique graphs; Clique-Helly graphs; Clique-perfect graphs; Good graphs; K-perfect graphs; Perfect graphs |
Año: | 2006
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Volumen: | 80
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Página de inicio: | 97
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Página de fin: | 112
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Título revista: | Ars Combinatoria
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Título revista abreviado: | Ars Comb.
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ISSN: | 03817032
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03817032_v80_n_p97_Bonomo |
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Citas:
---------- APA ----------
Bonomo, F., Durán, G., Groshaus, M. & Szwarcfiter, J.L.
(2006)
. On clique-perfect and K-perfect graphs. Ars Combinatoria, 80, 97-112.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03817032_v80_n_p97_Bonomo [ ]
---------- CHICAGO ----------
Bonomo, F., Durán, G., Groshaus, M., Szwarcfiter, J.L.
"On clique-perfect and K-perfect graphs"
. Ars Combinatoria 80
(2006) : 97-112.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03817032_v80_n_p97_Bonomo [ ]
---------- MLA ----------
Bonomo, F., Durán, G., Groshaus, M., Szwarcfiter, J.L.
"On clique-perfect and K-perfect graphs"
. Ars Combinatoria, vol. 80, 2006, pp. 97-112.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03817032_v80_n_p97_Bonomo [ ]
---------- VANCOUVER ----------
Bonomo, F., Durán, G., Groshaus, M., Szwarcfiter, J.L. On clique-perfect and K-perfect graphs. Ars Comb. 2006;80:97-112.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03817032_v80_n_p97_Bonomo [ ]