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Given a graph $G$ whose edges are perfectly reliable and whose nodes each operate independently with probability $p\in[0,1],$ the node reliability of $G$ is the probability that at least one node is operational and that the operational…

Combinatorics · Mathematics 2018-02-14 Jason Brown , Lucas Mol

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

Network reliability measures the probability that a target node is reachable from a source node in an uncertain graph, i.e., a graph where every edge is associated with a probability of existence. In this paper, we investigate the novel and…

Databases · Computer Science 2020-05-26 Xiangyu Ke , Arijit Khan , Mohammad Al Hasan , Rojin Rezvansangsari

In the present paper, we derive an upper bound of the average network breakdown probability of packet networks with unreliable relay nodes. We here assume that relay nodes get independently broken with a given node breakdown probability. A…

Information Theory · Computer Science 2017-01-25 Takayuki Nozaki , Takafumi Nakano , Tadashi Wadayama

Due to resource constraints of the sensor nodes, traditional public key cryptographic techniques are not feasible in most sensor network architectures. Several symmetric key distribution mechanisms are proposed for establishing pairwise…

Cryptography and Security · Computer Science 2011-03-24 Ashok Kumar Das

Establishment of pairwise keys between sensor nodes in a sensor network is a difficult problem due to resource limitations of sensor nodes as well as vulnerability to physical captures of sensor nodes by the enemy. Public-key cryptosystems…

Cryptography and Security · Computer Science 2011-08-08 Ashok Kumar Das

Network reliability is a well-studied problem that requires to measure the probability that a target node is reachable from a source node in a probabilistic (or uncertain) graph, i.e., a graph where every edge is assigned a probability of…

Social and Information Networks · Computer Science 2018-05-01 Arijit Khan , Francesco Bonchi , Francesco Gullo , Andreas Nufer

In several applications in distributed systems, an important design criterion is ensuring that the network is sparse, i.e., does not contain too many edges, while achieving reliable connectivity. Sparsity ensures communication overhead…

Social and Information Networks · Computer Science 2025-08-19 Mansi Sood , Eray Can Elumar , Osman Yagan

The present study was concerned with network failure problems for simple connected undirected graphs. A connected graph becomes unconnected through edge failure, under the assumptions that only edges can fail and each edge has an identical…

Probability · Mathematics 2024-10-29 Hiroaki Mohri , Jun-ichi Takeshita

Key predistribution is a well-known technique for ensuring secure communication via encryption among sensors deployed in an ad-hoc manner to form a sensor network. In this paper, we propose a novel 2-Phase technique for key predistribution…

Networking and Internet Architecture · Computer Science 2007-05-23 Rajgopal Kannan , Lydia Ray , Arjan Durresi , S. Iyengar

This paper presents a survey of key distribution schemes for wireless sensor networks. This survey includes the new approach of key distribution using the piggy bank method. Different Network architectures and different key pre-distribution…

Cryptography and Security · Computer Science 2014-05-19 Pratik P. Chaphekar

The growing complexity of wireless systems has accelerated the move from traditional methods to learning-based solutions. Graph Neural Networks (GNNs) are especially well-suited here, since wireless networks can be naturally represented as…

Signal Processing · Electrical Eng. & Systems 2025-10-02 Romina Garcia Camargo , Zhiyang Wang , Alejandro Ribeiro

We propose and analyze a graph model to study the connectivity of interdependent networks. Two interdependent networks of arbitrary topologies are modeled as two graphs, where every node in one graph is supported by supply nodes in the…

Discrete Mathematics · Computer Science 2018-09-10 Jianan Zhang , Eytan Modiano

This paper contributes to the challenging field of security for wireless sensor networks by introducing a key agreement scheme in which sensor nodes create secure radio connections with their neighbours depending on the aid of third…

Cryptography and Security · Computer Science 2013-09-11 Saleh Almowuena

Many basic key distribution schemes specifically tuned to wireless sensor networks have been proposed in the literature. Recently, several researchers have proposed schemes in which they have used group-based deployment models and assumed…

Cryptography and Security · Computer Science 2009-08-29 Pranav Agrawal , Joy Kuri

We study a method for key predistribution in a network of $n$ users where pairwise keys are computed by hashing users' IDs along with secret information that has been (pre)distributed to the network users by a trusted entity. A…

Cryptography and Security · Computer Science 2014-03-07 Maura B. Paterson , Douglas R. Stinson

Key predistribution schemes for distributed sensor networks have received significant attention in the recent literature. In this paper we propose a new construction method for these schemes based on combinations of duals of standard block…

Cryptography and Security · Computer Science 2011-08-02 Mausumi Bose , Aloke Dey , Rahul Mukerjee

Random geometric graphs (RGGs) are commonly used to model networked systems that depend on the underlying spatial embedding. We concern ourselves with the probability distribution of an RGG, which is crucial for studying its random…

Information Theory · Computer Science 2018-01-16 Mihai-Alin Badiu , Justin P. Coon

A Wireless Sensor Network (WSN) is emerging field in Information and communication technology. In WSN data transmission and data collection are unsecure because of sensor node Incompatibility. So providing security to Sensor network is very…

Networking and Internet Architecture · Computer Science 2012-07-25 V. Jayaraj , M. Indhumathi

In wireless sensor networks (WSNs), simulation practices, system models, algorithms, and protocols have been published worldwide based on the assumption of randomness. The applied statistics used for randomness in WSNs are broad in nature,…

Networking and Internet Architecture · Computer Science 2023-11-14 Dinesh Kumar Sah , Praveen Kumar Donta , Tarachand Amgoth