English
Related papers

Related papers: Percolation and Connectivity in the Intrinsically …

200 papers

The proliferation of low-cost Internet of Things (IoT) devices has led to a race between wireless security and channel attacks. Traditional cryptography requires high-computational power and is not suitable for low-power IoT scenarios.…

Signal Processing · Electrical Eng. & Systems 2022-05-24 Zhuangkun Wei , Liang Wang , Schyler Chengyao Sun , Bin Li , Weisi Guo

Nodes are randomly distributed within an annulus (and then a shell) to form a point pattern of communication terminals which are linked stochastically according to the Rayleigh fading of radio-frequency data signals. We then present…

Combinatorics · Mathematics 2017-06-15 Alexander P. Kartun-Giles , Orestis Georgiou , Carl P. Dettmann

Complex systems of interacting components often can be modeled by a simple graph $\mathcal{G}$ that consists of a set of $n$ nodes and a set of $m$ edges. Such a graph can be represented by an adjacency matrix $A\in\R^{n\times n}$, whose…

Physics and Society · Physics 2025-09-17 Silvia Noschese , Lothar Reichel

In this paper, we study the connectivity in one-dimensional ad hoc wireless networks with an fixed access point. In recent years, various closed expressions for the probability of connectivity on one-dimensional networks (interval graphs)…

Discrete Mathematics · Computer Science 2012-03-02 Junshan Li

Next-generation wireless networks are progressing beyond conventional connectivity to incorporate emerging sensing and computing capabilities. This convergence gives rise to integrated systems that enable not only uninterrupted…

Information Theory · Computer Science 2026-02-24 Ruiqi Liu , Beixiong Zheng , Jemin Lee , Si-Hyeon Lee , Georges Kaddoum , Onur Günlü , Deniz Gündüz

We propose an interdependent random geometric graph (RGG) model for interdependent networks. Based on this model, we study the robustness of two interdependent spatially embedded networks where interdependence exists between geographically…

Social and Information Networks · Computer Science 2018-06-08 Jianan Zhang , Edmund Yeh , Eytan Modiano

An infrastructure network is a self-organizing network with help of Access Point (AP) of wireless links connecting nodes to another. The nodes can communicate without an ad hoc. They form an uninformed topology (BSS/ESS), where the nodes…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-07-16 K. Karnavel , L. shalini , M. Ramananthini

A novel private communication framework is proposed where privacy is induced by transmitting over a channel instances of linear inverse problems that are identifiable to the legitimate receiver but unidentifiable to an eavesdropper. The gap…

Information Theory · Computer Science 2024-07-24 Maxime Ferreira Da Costa , Jianxiu Li , Urbashi Mitra

This paper explores a new secure wireless communication paradigm where the physical layer security technology is applied to counteract both the detection and eavesdropping attacks, such that the critical covertness and secrecy properties of…

Information Theory · Computer Science 2021-03-11 Huihui Wu , Yuanyu Zhang , Yulong Shen , Xiaohong Jiang

Epidemic models are increasingly used in real-world networks to understand diffusion phenomena (such as the spread of diseases, emotions, innovations, failures) or the transport of information (such as news, memes in social on-line…

Physics and Society · Physics 2016-12-06 Piet Van Mieghem

Consider a graph on $n$ uniform random points in the unit square, each pair being connected by an edge with probability $p$ if the inter-point distance is at most $r$. We show that as $n\to\infty$ the probability of full connectivity is…

Probability · Mathematics 2016-04-07 Mathew D. Penrose

Anonymous communication networks have emerged as crucial tools for obfuscating communication pathways and concealing user identities. However, their practical deployments face significant challenges, including susceptibility to artificial…

Cryptography and Security · Computer Science 2025-08-05 Chao Ge , Wei Yuan , Ge Chen , Yanbin Pan , Yuan Shen

In this article we setup a dynamic device-to-device communication system where devices, given as a Poisson point process, move in an environment, given by a street system of random planar-tessellation type, via a random-waypoint model.…

Probability · Mathematics 2022-08-30 Elie Cali , Alexander Hinsen , Benedikt Jahnel , Jean-Philippe Wary

To study the overall connectivity in device-to-device networks in cities, we incorporate a signal-to-interference-plus-noise connectivity model into a Poisson-Voronoi tessellation model representing the streets of a city. Relays are located…

Networking and Internet Architecture · Computer Science 2023-09-07 H. P. Keeler , B. Błaszczyszyn , E. Cali

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

Wireless vehicular network (WVN) is exponentially gaining attention from industries and researchers since it is the Keystone of intelligent transportation systems (ITS). Despite the sophisticated features and services that it can offer, it…

Signal Processing · Electrical Eng. & Systems 2020-10-15 Neji Mensi , Danda B. Rawat , Elyes Balti

The total communicability of a network (or graph) is defined as the sum of the entries in the exponential of the adjacency matrix of the network, possibly normalized by the number of nodes. This quantity offers a good measure of how easily…

Social and Information Networks · Computer Science 2015-08-21 Francesca Arrigo , Michele Benzi

We investigate a spatial random graph model whose vertices are given as a marked Poisson process on $\mathbb{R}^d$. Edges are inserted between any pair of points independently with probability depending on the spatial displacement of the…

Probability · Mathematics 2025-03-25 Matthew Dickson , Markus Heydenreich

Core-periphery (CP) structure is an important meso-scale network property where nodes group into a small, densely interconnected {core} and a sparse {periphery} whose members primarily connect to the core rather than to each other. While…

Methodology · Statistics 2025-08-08 Eric Yanchenko , Srijan Sengupta , Diganta Mukherjee

Majority bootstrap percolation is a monotone cellular automata that can be thought of as a model of infection spreading in networks. Starting with an initially infected set, new vertices become infected once more than half of their…

Combinatorics · Mathematics 2024-06-26 Maurício Collares , Joshua Erde , Anna Geisler , Mihyun Kang