Rank-Two Relaxation Heuristics for Max-Cut and Other Binary Quadratic Programs

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dc.contributor.authorBurer, Samuel
dc.contributor.authorMonteiro, Renato
dc.contributor.authorZhang, Yin
dc.date.accessioned2018-06-18T17:48:15Z
dc.date.available2018-06-18T17:48:15Z
dc.date.issued2000-11
dc.date.noteNovember 2000
dc.description.abstractSemidefinite relaxation for certain discrete optimization problems involves replacing a vector-valued variable by a matrix-valued one, producing a convex program while increasing the number of variables by an order of magnitude. As useful as it is in theory, this approach encounters difficulty in practice as problem size increases. In this paper, we propose a rank-two relaxation approach and construct continuous optimization heuristics applicable to some binary quadratic programs, including primarily the Max-Cut problem but also others such as the Max-Bisection problem. A computer code based on our rank-two relaxation heuristics is compared with two state-of-the-art semidefinite programming codes. We will report some rather intriguing computational results on a large set of test problems and discuss their ramifications.
dc.format.extent19 pp
dc.identifier.citationBurer, Samuel, Monteiro, Renato and Zhang, Yin. "Rank-Two Relaxation Heuristics for Max-Cut and Other Binary Quadratic Programs." (2000) <a href="https://hdl.handle.net/1911/101959">https://hdl.handle.net/1911/101959</a>.
dc.identifier.digitalTR00-33
dc.identifier.urihttps://hdl.handle.net/1911/101959
dc.language.isoeng
dc.titleRank-Two Relaxation Heuristics for Max-Cut and Other Binary Quadratic Programs
dc.typeTechnical report
dc.type.dcmiText
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