11-193 Xiaodong Hu, Evgeniy Grechnikov
On the Connectivity in One-Dimensional Ad Hoc Wireless Networks with a Forbidden Zone (269K, Postscript) Dec 15, 11
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Abstract. This paper investigates the connectivity in one-dimensional ad hoc wireless networks with a forbidden zone. We derive the probability of the wireless networks which are composed of exactly m clusters by means of the methods of combinatorics and probability. The probability of connectivity, i.e. m = 1, can be obtained as a special case. Further, we explain how the transmission range of node affects the connectivity of the wireless network.

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