Zero–One Laws for Connectivity in Random Key Graphs

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Zero-One Laws for Connectivity in Random Key Graphs

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The random key graph is a random graph naturally associated with the random key predistribution scheme of Eschenauer and Gligor for wireless sensor networks. 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 complement and strengthen recent work on this conje...

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Random key graphs represent topologies of secure wireless sensor networks that apply the seminal Eschenauer– Gligor random key predistribution scheme to secure communication between sensors. These graphs have received much attention and also been used in diverse application areas beyond secure sensor networks; e.g., cryptanalysis, social networks, and recommender systems. Formally, a random key...

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ژورنال

عنوان ژورنال: IEEE Transactions on Information Theory

سال: 2012

ISSN: 0018-9448,1557-9654

DOI: 10.1109/tit.2011.2181331