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A polynomial time approximation scheme for embedding a directed hypergraph on a weighted ring

Author

Listed:
  • Jianping Li

    (Yunnan University)

  • Weidong Li

    (Yunnan University)

  • Lusheng Wang

    (City University of Hong Kong)

Abstract

Given a directed hypergraph H=(V,E H ), we consider the problem of embedding all directed hyperedges on a weighted ring. The objective is to minimize the maximum congestion which is equal to the maximum product of the weight of a link and the number of times that the link is passed by the embedding. In this paper, we design a polynomial time approximation scheme for this problem.

Suggested Citation

  • Jianping Li & Weidong Li & Lusheng Wang, 2012. "A polynomial time approximation scheme for embedding a directed hypergraph on a weighted ring," Journal of Combinatorial Optimization, Springer, vol. 24(3), pages 319-328, October.
    • Handle: RePEc:spr:jcomop:v:24:y:2012:i:3:d:10.1007_s10878-011-9387-1
    DOI: 10.1007/s10878-011-9387-1
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    References listed on IDEAS

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    1. Qingqin Nong & Jinjiang Yuan & Yixun Lin, 2009. "The weighted link ring loading problem," Journal of Combinatorial Optimization, Springer, vol. 18(1), pages 38-50, July.
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