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A better constant-factor approximation for weighted dominating set in unit disk graph

Author

Listed:
  • Yaochun Huang

    (University of Texas at Dallas)

  • Xiaofeng Gao

    (University of Texas at Dallas)

  • Zhao Zhang

    (Xinjiang University)

  • Weili Wu

    (University of Texas at Dallas)

Abstract

This paper presents a (10+ε)-approximation algorithm to compute minimum-weight connected dominating set (MWCDS) in unit disk graph. MWCDS is to select a vertex subset with minimum weight for a given unit disk graph, such that each vertex of the graph is contained in this subset or has a neighbor in this subset. Besides, the subgraph induced by this vertex subset is connected. Our algorithm is composed of two phases: the first phase computes a dominating set, which has approximation ratio 6+ε (ε is an arbitrary positive number), while the second phase connects the dominating sets computed in the first phase, which has approximation ratio 4.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jcomop:v:18:y:2009:i:2:d:10.1007_s10878-008-9146-0
    DOI: 10.1007/s10878-008-9146-0
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    Citations

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    Cited by:

    1. Xiao Zhang & Haosheng Fan & Victor C. S. Lee & Minming Li & Yingchao Zhao & Chuang Liu, 2018. "Minimizing the total cost of barrier coverage in a linear domain," Journal of Combinatorial Optimization, Springer, vol. 36(2), pages 434-457, 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. 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.
    4. 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.
    5. Zhao Zhang & Wei Liang & Hongmin W. Du & Siwen Liu, 2022. "Constant Approximation for the Lifetime Scheduling Problem of p -Percent Coverage," INFORMS Journal on Computing, INFORMS, vol. 34(5), pages 2675-2685, September.

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