Lovasz and Schrijver, and later Lasserre, proposed hierarchies of semidefinite programming relaxations for general 0/1 linear programming problems. In this paper these two constructions are revisited and a new, block-diagonal hierarchy is proposed. It has the advantage of being computationally less costly while being at least as strong as the Lovasz-Schrijver hierarchy. It is applied to the stable set problem and experimental results for Paley graphs are reported.
Additional Metadata
Keywords 0/1 linear programming, semidefinite programming, stable sets, Payley graphs
MSC Semidefinite programming (msc 90C22), Combinatorial optimization (msc 90C27)
THEME Logistics (theme 3)
Publisher Cornell University Library
Series arXiv.org e-Print archive
Project Semidefinite programming and combinatorial optimization , Spinoza prijs Lex Schrijver
Citation
Gvozdenovic, N, Laurent, M, & Vallentin, F. (2007). Block-diagonal semidefinite programming hierarchies for 0/1 programming. arXiv.org e-Print archive. Cornell University Library .