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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Main Authors: Y. Tang, Q. L. Li
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2016/4319426
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author Y. Tang
Q. L. Li
author_facet Y. Tang
Q. L. Li
author_sort Y. Tang
collection DOAJ
description 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.
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institution Kabale University
issn 1026-0226
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publishDate 2016-01-01
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series Discrete Dynamics in Nature and Society
spelling doaj-art-6ba4c534263f45ac84f52f2b0a0714642025-02-03T07:24:16ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/43194264319426Asymptotic Distribution of Isolated Nodes in Secure Wireless Sensor Networks under Transmission ConstraintsY. Tang0Q. L. Li1College of Culture and Communication, Changsha Social Work College, Changsha 410129, ChinaCollege of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, ChinaThe 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.http://dx.doi.org/10.1155/2016/4319426
spellingShingle Y. Tang
Q. L. Li
Asymptotic Distribution of Isolated Nodes in Secure Wireless Sensor Networks under Transmission Constraints
Discrete Dynamics in Nature and Society
title Asymptotic Distribution of Isolated Nodes in Secure Wireless Sensor Networks under Transmission Constraints
title_full Asymptotic Distribution of Isolated Nodes in Secure Wireless Sensor Networks under Transmission Constraints
title_fullStr Asymptotic Distribution of Isolated Nodes in Secure Wireless Sensor Networks under Transmission Constraints
title_full_unstemmed Asymptotic Distribution of Isolated Nodes in Secure Wireless Sensor Networks under Transmission Constraints
title_short Asymptotic Distribution of Isolated Nodes in Secure Wireless Sensor Networks under Transmission Constraints
title_sort asymptotic distribution of isolated nodes in secure wireless sensor networks under transmission constraints
url http://dx.doi.org/10.1155/2016/4319426
work_keys_str_mv AT ytang asymptoticdistributionofisolatednodesinsecurewirelesssensornetworksundertransmissionconstraints
AT qlli asymptoticdistributionofisolatednodesinsecurewirelesssensornetworksundertransmissionconstraints