Zero-One Law for Connectivity in Superposition of Random Key Graphs on Random Geometric Graphs

We study connectivity property in the superposition of random key graph on random geometric graph. For this class of random graphs, we establish a new version of a conjectured zero-one law for graph connectivity as the number of nodes becomes unboundedly large. The results reported here strengthen r...

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Main Authors: Y. Tang, Q. L. Li
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2015/982094
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author Y. Tang
Q. L. Li
author_facet Y. Tang
Q. L. Li
author_sort Y. Tang
collection DOAJ
description We study connectivity property in the superposition of random key graph on random geometric graph. For this class of random graphs, we establish a new version of a conjectured zero-one law for graph connectivity as the number of nodes becomes unboundedly large. The results reported here strengthen recent work by the Krishnan et al.
format Article
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institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2015-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-a35ddfe5d6d0494a8ec6780365abfb942025-02-03T01:21:49ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/982094982094Zero-One Law for Connectivity in Superposition of Random Key Graphs on Random Geometric GraphsY. Tang0Q. L. Li1College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, ChinaCollege of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, ChinaWe study connectivity property in the superposition of random key graph on random geometric graph. For this class of random graphs, we establish a new version of a conjectured zero-one law for graph connectivity as the number of nodes becomes unboundedly large. The results reported here strengthen recent work by the Krishnan et al.http://dx.doi.org/10.1155/2015/982094
spellingShingle Y. Tang
Q. L. Li
Zero-One Law for Connectivity in Superposition of Random Key Graphs on Random Geometric Graphs
Discrete Dynamics in Nature and Society
title Zero-One Law for Connectivity in Superposition of Random Key Graphs on Random Geometric Graphs
title_full Zero-One Law for Connectivity in Superposition of Random Key Graphs on Random Geometric Graphs
title_fullStr Zero-One Law for Connectivity in Superposition of Random Key Graphs on Random Geometric Graphs
title_full_unstemmed Zero-One Law for Connectivity in Superposition of Random Key Graphs on Random Geometric Graphs
title_short Zero-One Law for Connectivity in Superposition of Random Key Graphs on Random Geometric Graphs
title_sort zero one law for connectivity in superposition of random key graphs on random geometric graphs
url http://dx.doi.org/10.1155/2015/982094
work_keys_str_mv AT ytang zeroonelawforconnectivityinsuperpositionofrandomkeygraphsonrandomgeometricgraphs
AT qlli zeroonelawforconnectivityinsuperpositionofrandomkeygraphsonrandomgeometricgraphs