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Issue No. 03 - March (2010 vol. 9)
ISSN: 1536-1233
pp: 435-448
Xiaole Bai , The Ohio State University, Columbus
Ziqiu Yun , Suzhou University, Suzhou
Dong Xuan , The Ohio State University, Columbus
Ten H. Lai , The Ohio State University, Columbus
Weijia Jia , City University of Hong Kong, Hong Kong
In this paper, we study optimal deployment in terms of the number of sensors required to achieve four-connectivity and full coverage under different ratios of sensors' communication range (denoted by r_c) to their sensing range (denoted by r_s). We propose a new pattern, the Diamond pattern, which can be viewed as a series of evolving patterns. When r_c/r_s \ge \sqrt{3}, the Diamond pattern coincides with the well-known triangle lattice pattern; when r_c/r_s \le \sqrt{2}, it degenerates to a Square pattern (i.e., a square grid). We prove that our proposed pattern is asymptotically optimal when r_c/r_s > \sqrt{2} to achieve four-connectivity and full coverage. We also discover another new deployment pattern called the Double-strip pattern. This pattern provides a new aspect to research on optimal deployment patterns. Our work is the first to propose an asymptotically optimal deployment pattern to achieve four-connectivity and full coverage for WSNs. Our work also provides insights on how optimal patterns evolve and how to search for them.
Wireless sensor networks, topology, full coverage, four-connectivity, optimal deployment pattern.

T. H. Lai, D. Xuan, W. Jia, Z. Yun and X. Bai, "Optimal Patterns for Four-Connectivity and Full Coverage in Wireless Sensor Networks," in IEEE Transactions on Mobile Computing, vol. 9, no. , pp. 435-448, 2009.
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