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Node-weighted Steiner tree approximation in unit disk graphs

Author

Listed:
  • Feng Zou

    (University of Texas at Dallas)

  • Xianyue Li

    (Lanzhou University)

  • Suogang Gao

    (Hebei Normal University)

  • Weili Wu

    (University of Texas at Dallas)

Abstract

Given a graph G=(V,E) with node weight w:V→R + and a subset S⊆V, find a minimum total weight tree interconnecting all nodes in S. This is the node-weighted Steiner tree problem which will be studied in this paper. In general, this problem is NP-hard and cannot be approximated by a polynomial time algorithm with performance ratio aln n for any 0

Suggested Citation

  • Feng Zou & Xianyue Li & Suogang Gao & Weili Wu, 2009. "Node-weighted Steiner tree approximation in unit disk graphs," Journal of Combinatorial Optimization, Springer, vol. 18(4), pages 342-349, November.
    • Handle: RePEc:spr:jcomop:v:18:y:2009:i:4:d:10.1007_s10878-009-9229-6
    DOI: 10.1007/s10878-009-9229-6
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    References listed on IDEAS

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    1. Yaochun Huang & Xiaofeng Gao & Zhao Zhang & Weili Wu, 2009. "A better constant-factor approximation for weighted dominating set in unit disk graph," Journal of Combinatorial Optimization, Springer, vol. 18(2), pages 179-194, August.
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    Cited by:

    1. Bang Ye Wu & Chen-Wan Lin, 2015. "On the clustered Steiner tree problem," Journal of Combinatorial Optimization, Springer, vol. 30(2), pages 370-386, August.
    2. Hongwei Du & Panos Pardalos & Weili Wu & Lidong Wu, 2013. "Maximum lifetime connected coverage with two active-phase sensors," Journal of Global Optimization, Springer, vol. 56(2), pages 559-568, June.
    3. Lidan Fan & Zhao Zhang & Wei Wang, 2011. "PTAS for minimum weighted connected vertex cover problem with c-local condition in unit disk graphs," Journal of Combinatorial Optimization, Springer, vol. 22(4), pages 663-673, November.
    4. Jiao Zhou & Zhao Zhang & Shaojie Tang & Xiaohui Huang & Ding-Zhu Du, 2018. "Breaking the O (ln n ) Barrier: An Enhanced Approximation Algorithm for Fault-Tolerant Minimum Weight Connected Dominating Set," INFORMS Journal on Computing, INFORMS, vol. 30(2), pages 225-235, May.

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