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A .699-approximation algorithm for Max-Bisection

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Abstract.

We present a .699-approximation algorithm for Max-Bisection, i.e., partitioning the nodes of a weighted graph into two blocks of equal cardinality so as to maximize the weights of crossing edges. This is an improved result from the .651-approximation algorithm of Frieze and Jerrum and the semidefinite programming relaxation of Goemans and Williamson.

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Authors and Affiliations

  1. Department of Management Sciences, Henry B. Tippie College of Business, The University of Iowa, Iowa City, Iowa 52242, USA., , , , , , US

    Yinyu Ye

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  1. Yinyu Ye
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Received: October 1999 / Accepted: July 2000¶Published online January 17, 2001

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Ye, Y. A .699-approximation algorithm for Max-Bisection. Math. Program. 90, 101–111 (2001). https://doi.org/10.1007/PL00011415

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  • DOI: https://doi.org/10.1007/PL00011415

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