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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Language: | English |
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Wiley
2016-01-01
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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. |
format | Article |
id | doaj-art-6ba4c534263f45ac84f52f2b0a071464 |
institution | Kabale University |
issn | 1026-0226 1607-887X |
language | English |
publishDate | 2016-01-01 |
publisher | Wiley |
record_format | Article |
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 |