Threshold behavior of multi-path random key pre-distribution for sparse wireless sensor networks

Wei Shuo Li, Chun Wei Tsai, Min Chen, Wen Shyong Hsieh, Chu Sing Yang

研究成果: Article

8 引文 斯高帕斯(Scopus)

摘要

Wireless sensor network (WSN) has been an active research topic because its application encompasses various domains. In particular, a lot of attention have been paid to the common feature of WSN to show that every node in a large enough network contains certain properties. Real-world applications of random key pre-distribution naturally involve geometric and combinatorial techniques and are even more challenging technically. This paper presents an efficient scheme, which can approximate a complex network by a much simpler object such that the approximation is "regular" between most pairs of partition of this network. Once a more traceable network is obtained, bounds for the probability of the property that a random key pre-distribution subgraph satisfies that each node has a path of length ℓ to its ℓth-hop neighbors are established. Then, by using the sparse version of Szemerédi's regularity lemma and letting C be a constant, n the number of vertices, p the probability of any two nodes sharing at least one common key, a sharp threshold p≥Cn-(ℓ-1)/ℓ that satisfies this property is shown. Moreover, computer simulations are also given to show the performance of the proposed scheme.

原文English
頁(從 - 到)2776-2787
頁數12
期刊Mathematical and Computer Modelling
57
發行號11-12
DOIs
出版狀態Published - 2013 六月 1

    指紋

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Computer Science Applications

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