Asymptotic Distribution of Isolated Nodes in Secure Wireless Sensor Networks under Transmission Constraints. (3rd August 2016)

• Record Type: Journal Article
• Authors: Tang, Y.; Li, Q. L.
• Other Names: Bretti Gabriella Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2016(2016)
• Publication Date: 2016-08-03
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2016/4319426
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : 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.