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Abstract: Wireless sensor networks (WSNs) are distributed collection of small sensor nodes that gather security- sensitive data and control security-critical operations in a wide range of industrial, home and business applications. Random key predistribution schemes are widely regarded as the appropriate solutions for providing cryptographic protection in resource- constrained WSNs. In this talk, we present our approach to designing secure and reliable WSNs based on the analysis of random graph models naturally induced under these schemes. In particular, we will show how these analyses enable a thorough performance evaluation in terms of properties including connectivity, security, reliability, memory requirements, and scalability.
The focus of the talk will be on the recent results concerning scaling laws for the k-connectivity of WSNs under two classical key predistribution schemes, namely the Eschenauer-Gligor scheme and the pairwise scheme of Chan, Perrig, and Song. We will also present our latest work that constitute an extension of these results for heterogeneous WSNs. Various other applications of the random graph models studied will also be discussed; e.g., in modeling social networks.
References:
[1] F. Yavuz, J. Zhao, O. Yağan and V. Gligor, “k-connectivity in Random K-out graphs intersecting Erdős–Rényi Graphs,” IEEE Transactions on Information Theory, 63(3): 1677-1692, March 2017.
[2] O. Yağan, “Zero-one laws for connectivity in inhomogeneous random key graphs,” IEEE Transactions on Information Theory, 62(8):4559-4574, August 2016.
[3] F. Yavuz, J. Zhao, O. Yağan and V. Gligor, “Towards k-connectivity of the random graph induced by a pairwise key predistribution scheme with unreliable links,” IEEE Transactions on Information Theory, 61(11): 6251-6271, Nov. 2015.
[4] J. Zhao, O. Yağan and V. Gligor, “k-Connectivity in Random Key Graphs with Unreliable Links,” IEEE Transactions on Information Theory 61(7): 3810–3836, July 2015.
[5] O. Yağan and A. M. Makowski, “Modeling the Pairwise Key Predistribution Scheme in the Presence of Unreliable Links,” IEEE Transactions on Information Theory 59(3): 1740-1760, March 2013.
[6] O. Yağan, “Performance of the Eschenauer-Gligor Key Distribution Scheme under an ON-OFF Channel,” IEEE Transactions on Information Theory, 58(6): 3821-3835, June 2012.