Evgeniy Grechnikov. On the Connectivity in One-dimensional ad Hoc Wireless Networks with a Forbidden Zone
Submitted on: Feb 28, 2012, 17:51:04
Natural Sciences / Mathematics / Calculus / Analysis
Description: 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.
The abstract of this article has been published in the "Intellectual Archive Bulletin" , February 2012, ISSN 1929-1329.
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On the Connectivity in One-Dimensional ad Hoc Wireless Networks with a Forbidden Zone.pdf