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Constructing weakly connected dominating set for secure clustering in distributed sensor network

Author

Listed:
  • Hongjie Du

    (Univ. of Texas at Dallas)

  • Weili Wu

    (Univ. of Texas at Dallas)

  • Shan Shan

    (Univ. of Texas at Dallas)

  • Donghyun Kim

    (North Carolina Central University)

  • Wonjun Lee

    (Korea University)

Abstract

Secure clustering problem plays an important role in distributed sensor networks. Weakly Connected Dominating Set (WCDS) is used for solving this problem. Therefore, computing a minimum WCDS becomes an important topic of this research. In this paper, we compare the size of Maximal Independent Set (MIS) and minimum WCDS in unit disk graph. Our analysis shows that five is the least upper bound for this ratio. We also present a distributed algorithm to produce a weakly connected MIS within a factor 5 from the minimum WCDS.

Suggested Citation

  • Hongjie Du & Weili Wu & Shan Shan & Donghyun Kim & Wonjun Lee, 2012. "Constructing weakly connected dominating set for secure clustering in distributed sensor network," Journal of Combinatorial Optimization, Springer, vol. 23(2), pages 301-307, February.
    • Handle: RePEc:spr:jcomop:v:23:y:2012:i:2:d:10.1007_s10878-010-9358-y
    DOI: 10.1007/s10878-010-9358-y
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    Citations

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    Cited by:

    1. Yan Zhang & Hongzhi Wang & Hong Gao & Jianzhong Li, 2016. "Efficient accuracy evaluation for multi-modal sensed data," Journal of Combinatorial Optimization, Springer, vol. 32(4), pages 1068-1088, November.
    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. Tian Liu & Zhao Lu & Ke Xu, 2015. "Tractable connected domination for restricted bipartite graphs," Journal of Combinatorial Optimization, Springer, vol. 29(1), pages 247-256, January.
    4. Hongyu Liang & Tiancheng Lou & Haisheng Tan & Yuexuan Wang & Dongxiao Yu, 2015. "On the complexity of connectivity in cognitive radio networks through spectrum assignment," Journal of Combinatorial Optimization, Springer, vol. 29(2), pages 472-487, February.

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