Abstract:
A graph is clique-perfect if the maximum number of pairwise disjoint maximal cliques equals the minimum number of vertices intersecting all maximal cliques for each induced subgraph. In this work, we give necessary and sufficient conditions for the complement of a line graph to be clique-perfect and an O (n2) -time algorithm to recognize such graphs. These results follow from a characterization and a linear-time recognition algorithm for matching-perfect graphs, which we introduce as graphs where the maximum number of pairwise edge-disjoint maximal matchings equals the minimum number of edges intersecting all maximal matchings for each subgraph. Thereby, we completely describe the linear and circular structure of the graphs containing no bipartite claw, from which we derive a structure theorem for all those graphs containing no bipartite claw that are Class 2 with respect to edge-coloring. © 2015 Elsevier B.V. All rights reserved.
Registro:
Documento: |
Artículo
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Título: | Clique-perfectness of complements of line graphs |
Autor: | Bonomo, F.; Durán, G.; Safe, M.D.; Wagler, A.K. |
Filiación: | CONICET, Departamento de Computación, Universidad de Buenos Aires, Argentina Instituto de Cálculo, Departamento de Matemática, Universidad de Buenos Aires, Argentina Departamento de Ingeniería Industrial, FCFM, Universidad de Chile, Chile Instituto de Ciencias, Universidad Nacional de General Sarmiento, Argentina CNRS, LIMOS, Université Blaise Pascal, Clermont-Ferrand, France
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Palabras clave: | Clique-perfect graphs; Edge-coloring; Line graphs; Matchings; Graphic methods; All maximal cliques; Circular structures; Edge coloring; Induced subgraphs; Line graph; Matchings; Perfect graph; Recognition algorithm; Graph theory |
Año: | 2015
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Volumen: | 186
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Número: | 1
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Página de inicio: | 19
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Página de fin: | 44
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DOI: |
http://dx.doi.org/10.1016/j.dam.2015.01.012 |
Título revista: | Discrete Applied Mathematics
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Título revista abreviado: | Discrete Appl Math
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ISSN: | 0166218X
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CODEN: | DAMAD
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0166218X_v186_n1_p19_Bonomo |
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Citas:
---------- APA ----------
Bonomo, F., Durán, G., Safe, M.D. & Wagler, A.K.
(2015)
. Clique-perfectness of complements of line graphs. Discrete Applied Mathematics, 186(1), 19-44.
http://dx.doi.org/10.1016/j.dam.2015.01.012---------- CHICAGO ----------
Bonomo, F., Durán, G., Safe, M.D., Wagler, A.K.
"Clique-perfectness of complements of line graphs"
. Discrete Applied Mathematics 186, no. 1
(2015) : 19-44.
http://dx.doi.org/10.1016/j.dam.2015.01.012---------- MLA ----------
Bonomo, F., Durán, G., Safe, M.D., Wagler, A.K.
"Clique-perfectness of complements of line graphs"
. Discrete Applied Mathematics, vol. 186, no. 1, 2015, pp. 19-44.
http://dx.doi.org/10.1016/j.dam.2015.01.012---------- VANCOUVER ----------
Bonomo, F., Durán, G., Safe, M.D., Wagler, A.K. Clique-perfectness of complements of line graphs. Discrete Appl Math. 2015;186(1):19-44.
http://dx.doi.org/10.1016/j.dam.2015.01.012