Abstract:
We present an approach based on an integer programming formulation of the graph coloring problem. Our goal is to develop a model that removes some symmetrical solutions obtained by color permutations. We study the problem from a polyhedral point of view and determine some families of facets of the associated polytope. The theoretical results described here will be used to design an efficient Branch&Cut algorithm in a future work.
Registro:
Documento: |
Artículo
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Título: | A polyhedral approach for graph coloring |
Autor: | Méndez Díaz, I.; Zabala, P. |
Filiación: | Departamento de Computación, FCEyN, Universidad de Buenos Aires, Argentina
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Palabras clave: | Facets of Polyhedra; Graph Coloring; Integer Programming |
Año: | 2000
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Volumen: | 7
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Página de inicio: | 178
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Página de fin: | 181
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Título revista: | Electronic Notes in Discrete Mathematics
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Título revista abreviado: | Electron. Notes Discrete Math.
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ISSN: | 15710653
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15710653_v7_n_p178_MendezDiaz |
Referencias:
- Coll, P., Marenco, J., Méndez Díaz, I., Zabala, P., An Integer Programming Model for the Graph Coloring Problem (2000) Annals of X CLAIO, , Mexico
- Sewell, E.C., An improved algorithm for exact graph coloring (1996) DIMACS, , JOHNSON, D. and TRICK, M. eds
- Mehrotra, A., Trick, M., A column generation approach for graph coloring (1996) INFORMS J. on Computing, 8 (4), pp. 344-353
Citas:
---------- APA ----------
Méndez Díaz, I. & Zabala, P.
(2000)
. A polyhedral approach for graph coloring. Electronic Notes in Discrete Mathematics, 7, 178-181.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15710653_v7_n_p178_MendezDiaz [ ]
---------- CHICAGO ----------
Méndez Díaz, I., Zabala, P.
"A polyhedral approach for graph coloring"
. Electronic Notes in Discrete Mathematics 7
(2000) : 178-181.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15710653_v7_n_p178_MendezDiaz [ ]
---------- MLA ----------
Méndez Díaz, I., Zabala, P.
"A polyhedral approach for graph coloring"
. Electronic Notes in Discrete Mathematics, vol. 7, 2000, pp. 178-181.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15710653_v7_n_p178_MendezDiaz [ ]
---------- VANCOUVER ----------
Méndez Díaz, I., Zabala, P. A polyhedral approach for graph coloring. Electron. Notes Discrete Math. 2000;7:178-181.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15710653_v7_n_p178_MendezDiaz [ ]