| Issue |
RAIRO-Oper. Res.
Volume 50, Number 3, July-September 2016
|
|
|---|---|---|
| Page(s) | 627 - 644 | |
| DOI | https://doi.org/10.1051/ro/2015053 | |
| 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.
mbraga@ungs.edu.ar; jmarenco@ungs.edu.ar
Received:
19
March
2013
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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