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

  • Authors:
  • Yingshu Li;Yiwei Wu;Chunyu Ai;Raheem Beyah

  • Affiliations:
  • Department of Computer Science, Georgia State University, Atlanta, USA 30303;Department of Computer Science, Georgia State University, Atlanta, USA 30303;Department of Mathematics, Physics, Computer Science, and Geomatics, Troy University, Troy, USA 36082;Department of Computer Science, Georgia State University, Atlanta, USA 30303

  • Venue:
  • Journal of Combinatorial Optimization
  • Year:
  • 2012

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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驴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.