Volume 50, Number 3, July-September 2016
|Page(s)||627 - 644|
|Published online||21 July 2016|
Exploring the disjunctive rank of some facet-inducing inequalities of the acyclic coloring polytope
Sciences Institute, National University of General Sarmiento J.M. Gutierrez
1150, (B1613 GSX) Los Polvorines, Argentina.
Accepted: 5 November 2015
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.
Mathematics Subject Classification: 90C10 / 05C15
Key words: Acyclic coloring / disjunctive rank
© EDP Sciences, ROADEF, SMAI 2016
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