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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…

Physics and Society · Physics 2015-02-03 Jun Zhao , Osman Yağan , Virgil Gligor

The q-composite key predistribution scheme [1] is used prevalently for secure communications in large-scale wireless sensor networks (WSNs). Prior work [2]-[4] explores topological properties of WSNs employing the q-composite scheme for q =…

Cryptography and Security · Computer Science 2014-08-22 Jun Zhao , Osman Yağan , Virgil Gligor

Random intersection graphs have received much interest and been used in diverse applications. They are naturally induced in modeling secure sensor networks under random key predistribution schemes, as well as in modeling the topologies of…

Discrete Mathematics · Computer Science 2015-04-14 Jun Zhao , Osman Yağan , Virgil Gligor

Uniform random intersection graphs have received much interest and been used in diverse applications. A uniform random intersection graph with $n$ nodes is constructed as follows: each node selects a set of $K_n$ different items uniformly…

Physics and Society · Physics 2015-02-03 Jun Zhao , Osman Yağan , Virgil Gligor

Random K-out graphs are used in several applications including modeling by sensor networks secured by the random pairwise key predistribution scheme, and payment channel networks. The random K-out graph with $n$ nodes is constructed as…

Information Theory · Computer Science 2022-10-12 Mansi Sood , Osman Yagan

Security is an important issue in wireless sensor networks (WSNs), which are often deployed in hostile environments. The q-composite key predistribution scheme has been recognized as a suitable approach to secure WSNs. Although the…

Networking and Internet Architecture · Computer Science 2019-11-21 Jun Zhao

We present a comprehensive analysis on connectivity and resilience of secure sensor networks under the widely studied q-composite key predistribution scheme. For network connectivity which ensures that any two sensors can find a path in…

Information Theory · Computer Science 2019-11-05 Jun Zhao

We analyze connectivity of a heterogeneous secure sensor network that uses key predistribution to protect communications between sensors. For this network on a set $\mathcal{V}_n$ of $n$ sensors, suppose there is a pool $\mathcal{P}_n$…

Discrete Mathematics · Computer Science 2019-11-06 Jun Zhao

A \emph{uniform random intersection graph} $G(n,m,k)$ is a random graph constructed as follows. Label each of $n$ nodes by a randomly chosen set of $k$ distinct colours taken from some finite set of possible colours of size $m$. Nodes are…

Combinatorics · Mathematics 2008-12-03 Simon R. Blackburn , Stefanie Gerke

In a random key graph (RKG) of $n$ nodes each node is randomly assigned a key ring of $K_n$ cryptographic keys from a pool of $P_n$ keys. Two nodes can communicate directly if they have at least one common key in their key rings. We assume…

Information Theory · Computer Science 2013-05-03 B. Santhana Krishnan , Ayalvadi Ganesh , D. Manjunath

In wireless sensor networks, the $q$-composite key predistribution scheme is a widely recognized way to secure communications. Although connectivity properties of secure sensor networks with the $q$-composite scheme have been studied in the…

Cryptography and Security · Computer Science 2015-08-07 Jun Zhao , Osman Yağan , Virgil Gligor

k-connectivity of random graphs is a fundamental property indicating reliability of multi-hop wireless sensor networks (WSN). WSNs comprising of sensor nodes with limited power resources are modeled by random graphs with unreliable nodes,…

Information Theory · Computer Science 2018-01-10 Satoshi Takabe , Tadashi Wadayama

Random key graphs form a class of random intersection graphs and are naturally induced by the random key predistribution scheme of Eschenauer and Gligor for securing wireless sensor network (WSN) communications. Random key graphs have…

Information Theory · Computer Science 2019-11-05 Jun Zhao , Osman Yagan , Virgil Gligor

We introduce a new random key predistribution scheme for securing heterogeneous wireless sensor networks. Each of the n sensors in the network is classified into r classes according to some probability distribution {\mu} = {{\mu}_1 , . . .…

Probability · Mathematics 2017-01-16 Osman Yagan

We study the secure and reliable connectivity of wireless sensor networks under the heterogeneous pairwise key predistribution scheme. This scheme was recently introduced as an extension of the random pairwise key predistribution scheme of…

Information Theory · Computer Science 2019-07-19 Mansi Sood , Osman Yağan

Random K-out graphs are garnering interest in designing distributed systems including secure sensor networks, anonymous crypto-currency networks, and differentially-private decentralized learning. In these security-critical applications, it…

Information Theory · Computer Science 2023-11-07 Eray Can Elumar , Mansi Sood , Osman Yağan

This paper presents a new key predistribution scheme for sensor networks based on structured graphs. Structured graphs are advantageous in that they can be optimized to minimize the parameter of interest. The proposed approach achieves a…

Cryptography and Security · Computer Science 2010-01-13 Abhishek Parakh , Subhash Kak

We consider the network reliability problem in wireless sensor networks secured by the heterogeneous random key predistribution scheme. This scheme generalizes Eschenauer-Gligor scheme by considering the cases when the network comprises…

Information Theory · Computer Science 2016-10-30 Rashad Eletreby , Osman Yağan

We investigate the connectivity of a wireless sensor network secured by the heterogeneous key predistribution scheme under an independent on/off channel model. The heterogeneous scheme induces an inhomogeneous random key graph, denoted by…

Optimization and Control · Mathematics 2017-10-09 Rashad Eletreby , Osman Yağan

We study the secure and reliable connectivity of wireless sensor networks. Security is assumed to be ensured by the random pairwise key predistribution scheme of Chan, Perrig, and Song, and unreliable wireless links are represented by…

Discrete Mathematics · Computer Science 2017-01-16 Faruk Yavuz , Jun Zhao , Osman Yağan , Virgil Gligor
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