Facets for node-capacitated multicut polytopes from path-block cycles with two common nodes

Discrete Optimization - Tập 25 - Trang 120-140 - 2017
Michael M. Sørensen1
1Department of Economics and Business Economics, Aarhus University, Fuglesangs Allé 4, DK-8210 Aarhus V, Denmark

Tài liệu tham khảo

Aardal, 1997, Polyhedral combinatorics Nemhauser, 1988 De Souza, 1995, Some new classes of facets for the equicut polytope, Discrete Appl. Math., 62, 167, 10.1016/0166-218X(94)00151-3 Ferreira, 1996, Formulations and valid inequalities for the node capacitated graph partitioning problem, Math. Program., 74, 247, 10.1007/BF02592198 Garey, 1979 Conforti, 1990, The equipartition polytope II: Valid inequalities and facets, Math. Program., 49, 71, 10.1007/BF01588779 Sørensen, 2004, b-Tree facets for the simple graph partitioning polytope, J. Comb. Optim., 8, 151, 10.1023/B:JOCO.0000031417.96218.26 Sørensen, 2007, Facet-defining inequalities for the simple graph partitioning polytope, Discrete Optim., 4, 221, 10.1016/j.disopt.2006.08.001 Faigle, 1986, A cutting plane algorithm for optimal graph partitioning, Methods Oper. Res., 57, 109 Armbruster, 2008, On the graph bisection cut polytope, SIAM J. Discrete Math., 22, 1073, 10.1137/060675253 Hager, 2013, An exact algorithm for graph partitioning, Math. Program., 137, 531, 10.1007/s10107-011-0503-x Conforti, 1990, The equipartition polytope I: Formulations, dimension and basic facets, Math. Program., 49, 49, 10.1007/BF01588778 Labbé, 2010, Size-constrained graph partitioning polytopes, Discrete Math., 310, 3473, 10.1016/j.disc.2010.08.009 Ferreira, 1998, The node capacitated graph partitioning problem: A computational study, Math. Program., 81, 229, 10.1007/BF01581107