An Efficient Semidefinite Programming Relaxation for the Graph Partition Problem
نویسندگان
چکیده
منابع مشابه
An Efficient Semidefinite Programming Relaxation for the Graph Partition Problem
We derive a new semidefinite programming relaxation for the general graph partition problem (GPP). Our relaxation is based on matrix lifting with matrix variable having order equal to the number of vertices of the graph. We show that this relaxation is equivalent to the Frieze-Jerrum relaxation [A. Frieze and M. Jerrum. Improved approximation algorithms for max k-cut and max bisection. Algorith...
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A semideenite programming, SDP, relaxation for the graph partitioning problem, GP, is derived using the dual of the (homogenized) Lagrangian dual of appropriate equivalent representations of GP. The special structure of the relaxation is exploited in order to project the SDP onto the minimal face, of the cone of positive semideenite matrices, which contains the feasible set. This guarantees tha...
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ژورنال
عنوان ژورنال: INFORMS Journal on Computing
سال: 2014
ISSN: 1091-9856,1526-5528
DOI: 10.1287/ijoc.1120.0542