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Asymptotic critical transmission radius and critical neighbor number for k-connectivity in wireless ad hoc networks

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Asymptotic critical transmission radius and critical neighbor number for k-connectivity in wireless ad hoc networks

Content Provider	ACM Digital Library
Author	Wan, Peng-Jun Yi, Chih-Wei
Abstract	A range assignment to the nodes in a wireless ad hoc network induces a topology in which there is an edge between two nodes if and only if both of them are within each other's transmission range. The critical transmission radius for k-connectivity is the smallest r such that if all nodes have the transmission radius r,the induce topology is k-connected. The critical neighbor number for k-connectivity is the smallest integer l such that if every node sets its transmission radius equal to the distance between itself an its l-th nearest neighbor, the induce topology is k-connecte. In this paper, we study the asymptotic critical transmission radius for k-connectivity an asymptotic critical neighbor number for k-connectivity in a wireless ad hoc network whose nodes are uniformly an independently distribute in a unit-area square or disk. We provide a precise asymptotic distribution of the critical transmission radius for k-connectivity and an improve asymptotic almost sure upper bound on the critical neighbor number for k-connectivity.
Starting Page	1
Ending Page	8
Page Count	8
File Format	PDF
ISBN	1581138490
DOI	10.1145/989459.989461
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2004-05-24
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	Random geometric graph Critical neighbor number Asymptotic distribution Critical transmission radius
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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