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On the construction of k-connected m-dominating sets in wireless networks

Author

Listed:
  • Yingshu Li

    (Georgia State University)

  • Yiwei Wu

    (Georgia State University)

  • Chunyu Ai

    (Troy University)

  • Raheem Beyah

    (Georgia State University)

Abstract

Connected dominating sets (CDS) that serve as a virtual backbone are now widely used to facilitate routing in wireless networks. A k-connected m-dominating set (kmCDS) is necessary for fault tolerance and routing flexibility. In order to construct a kmCDS with the minimum size, some approximation algorithms have been proposed in literature. However, the proposed algorithms either only consider some special cases where k=1, 2 or k≤m, or not easy to implement, or cannot provide performance ratio. In this paper, we propose a centralized heuristic algorithm, CSAA, which is easy to implement, and two distributed algorithms, DDA and DPA, which are deterministic and probabilistic methods respectively, to construct a kmCDS for general k and m. Theoretical analysis and simulation results indicate that our algorithms are efficient and effective.

Suggested Citation

  • Yingshu Li & Yiwei Wu & Chunyu Ai & Raheem Beyah, 2012. "On the construction of k-connected m-dominating sets in wireless networks," Journal of Combinatorial Optimization, Springer, vol. 23(1), pages 118-139, January.
    • Handle: RePEc:spr:jcomop:v:23:y:2012:i:1:d:10.1007_s10878-010-9346-2
    DOI: 10.1007/s10878-010-9346-2
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    Cited by:

    1. Yaoyao Zhang & Zhao Zhang & Ding-Zhu Du, 2023. "Construction of minimum edge-fault tolerant connected dominating set in a general graph," Journal of Combinatorial Optimization, Springer, vol. 45(2), pages 1-12, March.
    2. Yishuo Shi & Yaping Zhang & Zhao Zhang & Weili Wu, 2016. "A greedy algorithm for the minimum $$2$$ 2 -connected $$m$$ m -fold dominating set problem," Journal of Combinatorial Optimization, Springer, vol. 31(1), pages 136-151, January.
    3. Jiao Zhou & Zhao Zhang & Weili Wu & Kai Xing, 2014. "A greedy algorithm for the fault-tolerant connected dominating set in a general graph," Journal of Combinatorial Optimization, Springer, vol. 28(1), pages 310-319, July.
    4. 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.
    5. Austin Buchanan & Je Sang Sung & Sergiy Butenko & Eduardo L. Pasiliao, 2015. "An Integer Programming Approach for Fault-Tolerant Connected Dominating Sets," INFORMS Journal on Computing, INFORMS, vol. 27(1), pages 178-188, February.

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