Asymptotic Distribution of Isolated Nodes in Secure Wireless Sensor Networks under Transmission Constraints

The Eschenauer-Gligor (EG) key predistribution is regarded as a typical approach to secure communication in wireless sensor networks (WSNs). In this paper, we establish asymptotic results about the distribution of isolated nodes and the vanishing small impact of the boundary effect on the number of...

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Bibliographic Details
Published in:Discrete dynamics in nature and society 2016-01, Vol.2016 (2016), p.1-10
Main Authors: Tang, Y., Li, Qiaoliang
Format: Article
Language:English
Subjects:
Analysis
Asymptotic distribution (Probability theory)
Asymptotic properties
Boundaries
Communication
Connectivity
Decision trees
Dynamics
Networks
Properties
Remote sensors
Sensors
Wireless networks
Wireless sensor networks
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Summary:The Eschenauer-Gligor (EG) key predistribution is regarded as a typical approach to secure communication in wireless sensor networks (WSNs). In this paper, we establish asymptotic results about the distribution of isolated nodes and the vanishing small impact of the boundary effect on the number of isolated nodes in WSNs with the EG scheme under transmission constraints. In such networks, nodes are distributed either Poissonly or uniformly over a unit square. The results reported here strengthen recent work by Yi et al.
ISSN:1026-0226
1607-887X
DOI:10.1155/2016/4319426