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2011•Unpublished venueRequires access

On the connectivity in one-dimensional ad hoc wireless networks with an access point

Mingzhi Mao, Yan Wang, Jinging Chen

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Abstract

This paper investigates the connectivity in one-dimensional ad hoc wireless networks with an access point. We derive the probability that a random ad hoc wireless network has 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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What this paper is about

This paper investigates the connectivity in one-dimensional ad hoc wireless networks with an access point. We derive the probability that a random ad hoc wireless network has 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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Available abstract

This paper investigates the connectivity in one-dimensional ad hoc wireless networks with an access point. We derive the probability that a random ad hoc wireless network has 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.

Key concepts: Wireless ad hoc network, Computer network, Computer science, Stochastic geometry models of wireless networks, Wireless network, Ad hoc wireless distribution service, Node (physics), Mobile ad hoc network

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