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Nonlinear Formations and Improved Randomized Approximation Algorithms for Multiway and Multicut Problems

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dc.creator Bertsimas, Dimitris J.
dc.creator Teo, Chungpiaw
dc.creator Vohra, Rakesh
dc.date 2004-05-28T19:37:26Z
dc.date 2004-05-28T19:37:26Z
dc.date 1995-06
dc.date.accessioned 2013-10-09T02:39:30Z
dc.date.available 2013-10-09T02:39:30Z
dc.date.issued 2013-10-09
dc.identifier http://hdl.handle.net/1721.1/5394
dc.identifier.uri http://koha.mediu.edu.my:8181/xmlui/handle/1721
dc.description We introduce nonlinear formulations of the multiway cut and multicut problems. By simple linearizations of these formulations we derive several well known formulations and valid inequalities as well as several new ones. Through these formulations we establish a connection between the multiway cut and the maximum weighted independent set problem that leads to the study of the tightness of several LP formulations for the multiway cut problem through the theory of perfect graphs. We also introduce a new randomized rounding argument to study the worst case bound of these formulations, obtaining a new bound of 2a(H)(1 - ) for the multicut problem, where ac(H) is the size of a maximum independent set in the demand graph H.
dc.format 1318398 bytes
dc.format application/pdf
dc.language en_US
dc.publisher Massachusetts Institute of Technology, Operations Research Center
dc.relation Operations Research Center Working Paper ; OR 308-95
dc.title Nonlinear Formations and Improved Randomized Approximation Algorithms for Multiway and Multicut Problems
dc.type Working Paper


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