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On the Phase Transition Width of K-Connectivity in Wireless Multihop Networks

Ta, Xiaoyuan; Mao, Guoqiang; Anderson, Brian


In this paper, we study the phase transition behavior of k-connectivity (k=1,2,\ldots) in wireless multihop networks where a total of n nodes are randomly and independently distributed following a uniform distribution in the unit cube [0,1]d (d=1,2,3), and each node has a uniform transmission range r(n). It has been shown that the phase transition of k-connectivity becomes sharper as the total number of nodes n increases. In this paper, we investigate how fast such phase transition happens and...[Show more]

CollectionsANU Research Publications
Date published: 2009
Type: Journal article
Source: IEEE Transactions on Mobile Computing
DOI: 10.1109/TMC.2008.170


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