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Abstract:

In this work we study the polytope associated with a 0,1-integer programming formulation for the Equitable Coloring Problem. We find several families of valid inequalities and derive sufficient conditions in order to be facet-defining inequalities. We also present computational evidence that shows the efficacy of these inequalities used in a cutting-plane algorithm. © 2013 Elsevier B.V. All rights reserved.

Registro:

Documento: Artículo
Título:A polyhedral approach for the equitable coloring problem
Autor:Méndez-Díaz, I.; Nasini, G.; Severín, D.
Filiación:FCEyN, Universidad de Buenos Aires, Argentina
FCEIA, Universidad Nacional de Rosario, Argentina
CONICET, Argentina
Palabras clave:Cut and branch; Equitable graph coloring; Integer programming
Año:2014
Volumen:164
Número:PART 2
Página de inicio:413
Página de fin:426
DOI: http://dx.doi.org/10.1016/j.dam.2012.11.018
Título revista:Discrete Applied Mathematics
Título revista abreviado:Discrete Appl Math
ISSN:0166218X
CODEN:DAMAD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0166218X_v164_nPART2_p413_MendezDiaz

Referencias:

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  • Bahiense, L., Frota, Y., Noronha, T., Ribeiro, C., A branch-and-cut algorithm for the equitable coloring problem using a formulation by representatives (2011) Discrete Appl. Math., , http://dx.doi.org/10.1016/j.dam.2011.10.008, in press
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Citas:

---------- APA ----------
Méndez-Díaz, I., Nasini, G. & Severín, D. (2014) . A polyhedral approach for the equitable coloring problem. Discrete Applied Mathematics, 164(PART 2), 413-426.
http://dx.doi.org/10.1016/j.dam.2012.11.018
---------- CHICAGO ----------
Méndez-Díaz, I., Nasini, G., Severín, D. "A polyhedral approach for the equitable coloring problem" . Discrete Applied Mathematics 164, no. PART 2 (2014) : 413-426.
http://dx.doi.org/10.1016/j.dam.2012.11.018
---------- MLA ----------
Méndez-Díaz, I., Nasini, G., Severín, D. "A polyhedral approach for the equitable coloring problem" . Discrete Applied Mathematics, vol. 164, no. PART 2, 2014, pp. 413-426.
http://dx.doi.org/10.1016/j.dam.2012.11.018
---------- VANCOUVER ----------
Méndez-Díaz, I., Nasini, G., Severín, D. A polyhedral approach for the equitable coloring problem. Discrete Appl Math. 2014;164(PART 2):413-426.
http://dx.doi.org/10.1016/j.dam.2012.11.018