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We study an inhomogeneous random connection model in the connectivity regime. The vertex set of the graph is a homogeneous Poisson point process $\mathcal{P}_s$ of intensity $s>0$ on the unit cube…

Probability · Mathematics 2021-06-23 Srikanth K. Iyer , Sanjoy Kr. Jhawar

Testing for independence between graphs is a problem that arises naturally in social network analysis and neuroscience. In this paper, we address independence testing for inhomogeneous Erd\H{o}s-R\'{e}nyi random graphs on the same vertex…

Methodology · Statistics 2023-04-19 Yukun Song , Carey E. Priebe , Minh Tang

Deep learning is widely used in wireless communications but struggles with fixed neural network sizes, which limit their adaptability in environments where the number of users and antennas varies. To overcome this, this paper introduced a…

Signal Processing · Electrical Eng. & Systems 2025-05-27 Mingjun Sun , Shaochuan Wu , Haojie Wang , Yuanwei Liu , Guoyu Li , Tong Zhang

Random intersection graphs have received much attention recently and been used in a wide range of applications ranging from key predistribution in wireless sensor networks to modeling social networks. For these graphs, each node is equipped…

Discrete Mathematics · Computer Science 2019-11-06 Jun Zhao , Osman Yagan , Virgil Gligor

This paper investigates the formation control problem of heterogeneous, autonomous agents that communicate over a wireless multiple access channel. Instead of avoiding interference through orthogonal node-to-node transmissions, we exploit…

Systems and Control · Electrical Eng. & Systems 2026-03-12 Michael Epp , Fabio Molinari , Jörg Raisch

We propose inhomogeneous random K-out graphs $\mathbb{H}(n; \pmb{\mu}, \pmb{K}_n)$, where each of the $n$ nodes is assigned to one of $r$ classes independently with a probability distribution $\pmb{\mu} = \{\mu_1, \ldots, \mu_r\}$. In…

Combinatorics · Mathematics 2019-06-04 Rashad Eletreby , Osman Yağan

The dynamic establishment of shared information (e.g. secret key) between two entities is particularly important in networks with no pre-determined structure such as wireless sensor networks (and in general wireless mobile ad-hoc networks).…

Cryptography and Security · Computer Science 2008-12-18 V. Liagkou , E. Makri , P. Spirakis , Y. C. Stamatiou

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

The aim of this paper is to show how simple interaction mechanisms, inspired by chemical systems, can provide the basic tools to design and analyze a mathematical model for achieving consensus in wireless sensor networks, characterized by…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-17 Massimo Monti , Luca Sanguinetti , Christian Tschudin , Marco Luise

The interference imposes a significant negative impact on the performance of wireless networks. With the continuous deployment of larger and more sophisticated wireless networks, reducing interference in such networks is quickly being…

Networking and Internet Architecture · Computer Science 2011-03-31 Maaly Awad Hassan , Andrew Chickadel

This work studies the throughput scaling laws of ad hoc wireless networks in the limit of a large number of nodes. A random connections model is assumed in which the channel connections between the nodes are drawn independently from a…

Information Theory · Computer Science 2016-11-18 Shengshan Cui , Alexander M. Haimovich , Oren Somekh , H. Vincent Poor , Shlomo Shamai

With the application of the fifth-generation wireless communication technologies, more smart terminals are being used and generating huge amounts of data, which has prompted extensive research on how to handle and utilize these wireless…

Machine Learning · Computer Science 2022-08-24 Shiwen He , Yeyu Ou , Liangpeng Wang , Hang Zhan , Peng Ren , Yongming Huang

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

The interference at a wireless node s can be modelled by the number of wireless nodes whose transmission ranges cover s. Given a set of positions for wireless nodes, the interference minimization problem is to assign a transmission radius…

Computational Geometry · Computer Science 2011-11-30 Majid Khabbazian , Stephane Durocher , Alireza Haghnegahdar

In a random graph, counts for the number of vertices with given degrees will typically be dependent. We show via a multivariate normal and a Poisson process approximation that, for graphs which have independent edges, with a possibly…

Probability · Mathematics 2009-12-25 K. Lin , G. Reinert

We study the connectivity properties of random Bluetooth graphs that model certain "ad hoc" wireless networks. The graphs are obtained as "irrigation subgraphs" of the well-known random geometric graph model. There are two parameters that…

Probability · Mathematics 2011-03-03 Nicolas Broutin , Luc Devroye , Nicolas Fraiman , Gábor Lugosi

We study the problem of wireless network resilience to node failures from a percolation-based perspective. In practical wireless networks, it is often the case that the failure probability of a node depends on its degree (number of…

Networking and Internet Architecture · Computer Science 2009-08-28 Zhenning Kong , Edmund M. Yeh

An important problem in wireless sensor networks is to find the minimal number of randomly deployed sensors making a network connected with a given probability. In practice sensors are often deployed one by one along a trajectory of a…

Information Theory · Computer Science 2009-10-10 V. Kurlin , L. Mihaylova

A wireless communication network is considered where any two nodes are connected if the signal-to-interference ratio (SIR) between them is greater than a threshold. We consider the the path-loss plus fading model of wireless signal…

Information Theory · Computer Science 2012-05-23 Rahul Vaze

Random key graphs have received considerable attention and been used in various applications including secure sensor networks, social networks, the study of epidemics, cryptanalysis, and recommender systems. In this paper, we investigate a…

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