Geodesic
Exploring the disjunctive rank of some facet-inducing inequalities of the acyclic coloring polytope
Braga, Mónica1 ; Marenco, Javier1
1 Sciences Institute, National University of General Sarmiento J.M. Gutierrez 1150, (B1613 GSX) Los Polvorines, Argentina.
RAIRO - Operations Research - Recherche Opérationnelle, Tome 50 (2016) no. 3, pp. 627-644

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In a previous work we presented six facet-inducing families of valid inequalities for the polytope associated to an integer programming formulation of the acyclic coloring problem. In this work we study their disjunctive rank, as defined by [E. Balas, S. Ceria and G. Cornuéjols, Math. Program. 58 (1993) 295–324]. We also propose to study a dual concept, which we call the disjunctive anti-rank of a valid inequality.

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DOI : 10.1051/ro/2015053
Classification : 90C10, 05C15
Keywords: Acyclic coloring, disjunctive rank

Braga, Mónica 1 ; Marenco, Javier 1

1 Sciences Institute, National University of General Sarmiento J.M. Gutierrez 1150, (B1613 GSX) Los Polvorines, Argentina. 
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     title = {Exploring the disjunctive rank of some facet-inducing inequalities of the acyclic coloring polytope},
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Braga, Mónica; Marenco, Javier. Exploring the disjunctive rank of some facet-inducing inequalities of the acyclic coloring polytope. RAIRO - Operations Research - Recherche Opérationnelle, Tome 50 (2016) no. 3, pp. 627-644. doi: 10.1051/ro/2015053

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