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A spectral partitioning algorithm for maximum directed cut problem

Author

Listed:
  • Zhenning Zhang

    (Beijing University of Technology)

  • Donglei Du

    (University of New Brunswick)

  • Chenchen Wu

    (Tianjin University of Technology)

  • Dachuan Xu

    (Beijing University of Technology)

  • Dongmei Zhang

    (Shandong Jianzhu University)

Abstract

We investigate the maximum directed cut (MaxDC) problem by designing a spectral partitioning algorithm. Given a directed graph with nonnegative arc weights, we wish to obtain a bipartition of the vertices such that the total weight of the directed cut arcs is maximized. Relaxing the MaxDC problem as a quadratic program allows us to explore combinatorial properties of the optimal solution, leading to a 0.272-approximation algorithm via the technique of spectral partitioning rounding.

Suggested Citation

  • Zhenning Zhang & Donglei Du & Chenchen Wu & Dachuan Xu & Dongmei Zhang, 0. "A spectral partitioning algorithm for maximum directed cut problem," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-23.
    • Handle: RePEc:spr:jcomop:v::y::i::d:10.1007_s10878-018-0369-4
    DOI: 10.1007/s10878-018-0369-4
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