Approximation Algorithm for Max-Bisection Problem with the Positive Semidefinite Relaxation

Approximation Algorithm for Max-Bisection Problem with the Positive Semidefinite Relaxation

Year:    2003

Author:    Da-Chuan Xu, Ji-Ye Han

Journal of Computational Mathematics, Vol. 21 (2003), Iss. 3 : pp. 357–366

Abstract

Using outward rotations, we obtain an approximation algorithm for Max-Bisection problem, i.e., partitioning the vertices of an undirected graph into two blocks of equal cardinality so as to maximize the weights of crossing edges. In many interesting cases, the algorithm performs better than the algorithms of Ye and of Halperin and Zwick. The main tool used to obtain this result is semidefinite programming.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2003-JCM-10264

Journal of Computational Mathematics, Vol. 21 (2003), Iss. 3 : pp. 357–366

Published online:    2003-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Approximation algorithm Max-Bisection problem Semidefinite programming Approximation ratio.

Author Details

Da-Chuan Xu

Ji-Ye Han