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arXiv · 0712.3079

Block-diagonal semidefinite programming hierarchies for 0/1 programming

N. Gvozdenovic·M. Laurent·F. Vallentin
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Abstract

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.

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N. Gvozdenovic, M. Laurent, F. Vallentin. 2008-08-19. Block-diagonal semidefinite programming hierarchies for 0/1 programming. https://doi.org/10.1016/j.orl.2008.10.003

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