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Issue No. 02 - February (2009 vol. 20)
ISSN: 1045-9219
pp: 147-157
Donghyun Kim , University of Texas at Dallas, Richardson
Yiwei Wu , Georgia State University, Atlanta
Yingshu Li , Georgia State University, Atlanta
Feng Zou , University of Texas at Dallas, Richardson
Ding-Zhu Du , University of Texas at Dallas, Richardson
Connected Dominating Sets (CDSs) can serve as virtual backbones for wireless networks. A smaller virtual backbone incurs less maintenance overhead. Unfortunately, computing a minimum size CDS is NP-hard, and thus most researchers in this area concentrate on how to construct smaller CDSs. However, people neglected other important metrics of network, such as diameter and average hop distances between two communication parties. In this paper, we investigate the problem of constructing quality CDS in terms of size, diameter, and Average Backbone Path Length (ABPL). We present two centralized algorithms having constant performance ratios for its size and diameter of the constructed CDS. Especially, the size of CDS computed by the second algorithm is no more than 6.906 times of its optimal solution. Furthermore, we give its distributed version, which not only can be implemented in real situation easily but also considers energy to extend network lifetime. In our simulation, we show that in average the distributed algorithm not only generates a CDS with smaller diameter and ABPL than related work but also suppresses its size well. We also show that it is more energy efficient than others in prolonging network lifetime.
Wireless networks, connected dominating sets, distributed algorithms, energy efficiency.

D. Du, Y. Wu, D. Kim, F. Zou and Y. Li, "Constructing Minimum Connected Dominating Sets with Bounded Diameters in Wireless Networks," in IEEE Transactions on Parallel & Distributed Systems, vol. 20, no. , pp. 147-157, 2008.
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