Mathematics > Optimization and Control
[Submitted on 19 Dec 2007 (v1), last revised 19 Aug 2008 (this version, v2)]
Title:Block-diagonal semidefinite programming hierarchies for 0/1 programming
View PDFAbstract: 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 two new, block-diagonal hierarchies are proposed. They have the advantage of being computationally less costly while being at least as strong as the Lovasz-Schrijver hierarchy. Our construction is applied to the stable set problem and experimental results for Paley graphs are reported.
Submission history
From: Frank Vallentin [view email][v1] Wed, 19 Dec 2007 00:09:30 UTC (13 KB)
[v2] Tue, 19 Aug 2008 14:19:50 UTC (13 KB)
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