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dc.contributor.author
Dantas, Simone
dc.contributor.author
Groshaus, Marina Esther
dc.contributor.author
Guedes, André
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Machado, Raphael C. S.
dc.contributor.author
Ries, Bernard
dc.contributor.author
Sasaki, Diana
dc.date.available
2018-09-17T19:36:43Z
dc.date.issued
2017-01
dc.identifier.citation
Dantas, Simone; Groshaus, Marina Esther; Guedes, André; Machado, Raphael C. S.; Ries, Bernard; et al.; On star and biclique edge-colorings; Wiley; International Transactions in Operational Research; 24; 1-2; 1-2017; 339-346
dc.identifier.issn
0969-6016
dc.identifier.uri
http://hdl.handle.net/11336/59964
dc.description.abstract
A biclique of G is a maximal set of vertices that induces a complete bipartite subgraph Kp,q of G with at least one edge, and a star of a graph G is a maximal set of vertices that induces a complete bipartite graph K1,q. A biclique (resp. star) edge-coloring is a coloring of the edges of a graph with no monochromatic bicliques (resp. stars). We prove that the problem of determining whether a graph G has a biclique (resp. star) edge-coloring using two colors is NP-hard. Furthermore, we describe polynomial time algorithms for the problem in restricted classes: K3-free graphs, chordal bipartite graphs, powers of paths, and powers of cycles.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Wiley
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Biclique Edge-Coloring
dc.subject
Np-Hard
dc.subject
Star Edge-Coloring
dc.subject.classification
Ciencias de la Computación
dc.subject.classification
Ciencias de la Computación e Información
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
On star and biclique edge-colorings
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-09-14T13:16:28Z
dc.journal.volume
24
dc.journal.number
1-2
dc.journal.pagination
339-346
dc.journal.pais
Reino Unido
dc.description.fil
Fil: Dantas, Simone. Universidade Federal Fluminense; Brasil
dc.description.fil
Fil: Groshaus, Marina Esther. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.fil
Fil: Guedes, André. Universidade Federal do Paraná; Brasil
dc.description.fil
Fil: Machado, Raphael C. S.. Instituto Nacional de Metrologia, Qualidade e Tecnologia ; Brasil
dc.description.fil
Fil: Ries, Bernard. University of Fribourg; Suiza
dc.description.fil
Fil: Sasaki, Diana. Universidade Federal do Rio de Janeiro; Brasil
dc.journal.title
International Transactions in Operational Research
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1111/itor.12307
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://onlinelibrary.wiley.com/doi/full/10.1111/itor.12307
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