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Related papers: Percolation for D2D Networks on Street Systems

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In this work, percolation properties of device-to-device (D2D) networks in urban environments are investigated. The street system is modeled by a Poisson-Delaunay triangulation (PDT). Users are of two types: given either by a Cox process…

Probability · Mathematics 2024-02-14 David Corlin Marchand , David Coupier , Benoît Henry

In this work, we use percolation theory to study the feasibility of large-scale connectivity of relay-augmented device-to-device (D2D) networks in an urban scenario, featuring a haphazard system of streets and canyon shadowing allowing only…

Networking and Internet Architecture · Computer Science 2019-06-19 Quentin Le Gall , Bartłomiej Błaszczyszyn , Elie Cali , Taoufik En-Najjary

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

In this paper, we focus on two-dimensional connectivity in sparse vehicular ad hoc networks (VANETs). In this respect, we find thresholds for the arrival rates of vehicles at entrances of a block of streets such that the connectivity is…

Networking and Internet Architecture · Computer Science 2008-12-10 Masoud Farivar , Behzad Mehrdad , Farid Ashtiani

Device-to-device (D2D) communication has huge potential for capacity and coverage enhancements for next generation cellular networks. The number of potential nodes for D2D communication is an important parameter that directly impacts the…

Information Theory · Computer Science 2016-03-08 Hafiz Attaul Mustafa , Muhammad Zeeshan Shakir , Muhammad Ali Imran , Ali Imran , Rahim Tafazolli

Communication networks, power grids, and transportation networks are all examples of networks whose performance depends on reliable connectivity of their underlying network components even in the presence of usual network dynamics due to…

Physics and Society · Physics 2020-06-26 Arman Mohseni-Kabir , Mihir Pant , Don Towsley , Saikat Guha , Ananthram Swami

Device-to-Device (D2D) communications is a technology that allows mobile users to relay information to each other, without access to the cellular network. In this paper, we consider how to dynamically select multi-hop routes for D2D…

Networking and Internet Architecture · Computer Science 2014-03-28 Yuan Hu , Weisi Guo , Siyi Wang

Percolation is a model for random damage to a network. It is one of the simplest models that displays a phase transition: when the network is severely damaged, it falls apart in many small connected components, while if the damage is light,…

Probability · Mathematics 2025-12-18 Remco van der Hofstad

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

Device-to-device (D2D) communication enables direct communication between proximate devices thereby improving the overall spectrum utilization and offloading traffic from cellular networks. This paper develops a new spatial model for D2D…

Information Theory · Computer Science 2016-11-17 Mehrnaz Afshang , Harpreet S. Dhillon , Peter Han Joo Chong

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. Assuming that the nodes of the wireless network are distributed as a…

Information Theory · Computer Science 2016-11-17 Rahul Vaze

The homogeneous Poisson point process (PPP) is widely used to model spatial distribution of base stations and mobile terminals. The same process can be used to model underlay device-to-device (D2D) network, however, neglecting homophilic…

Information Theory · Computer Science 2017-05-01 Hafiz Attaul Mustafa , Muhammad Zeeshan Shakir , Muhammad Ali Imran , Rahim Tafazolli

Motivated by an application in wireless telecommunication networks, we consider a two-type continuum-percolation problem involving a homogeneous Poisson point process of users and a stationary and ergodic point process of base stations.…

Probability · Mathematics 2015-02-19 Christian Hirsch

Network percolation has recently been proposed as a method to characterize the global structure of an urban system form the bottom-up. This paper proposes to extend urban network percolation in a multi-dimensional way, to take into account…

Physics and Society · Physics 2019-03-19 Juste Raimbault

Percolation theory has been largely used in the study of structural properties of complex networks such as the robustness, with remarkable results. Nevertheless, a purely topological description is not sufficient for a correct…

Statistical Mechanics · Physics 2016-08-31 Luca Dall'Asta

We study the percolation in coupled networks with both inner-dependency and inter-dependency links, where the inner- and inter-dependency links represent the dependencies between nodes in the same or different networks, respectively. We…

Physics and Society · Physics 2016-05-09 Run-Ran Liu , Ming Li , Chun-Xiao Jia , Bing-Hong Wang

In the present article, numerical simulations have been performed to find the bond and site percolation thresholds on two-dimensional Gabriel graphs (GG) for Poisson point processes. GGs belong to the family of proximity graphs and are…

Statistical Mechanics · Physics 2014-06-04 Christoph Norrenbrock

We study the effects of mobility on two crucial characteristics in multi-scale dynamic networks: percolation and connection times. Our analysis provides insights into the question, to what extent long-time averages are well-approximated by…

Probability · Mathematics 2021-03-05 Christian Hirsch , Benedikt Jahnel , Elie Cali

This paper develops a framework to study multi-hop relaying in a vehicular network consisting of vehicles and Road Side Units (RSUs), and the effect of this relaying on the network coverage and the communication delay. We use a stochastic…

Information Theory · Computer Science 2020-06-23 Hussein A. Ammar , Abdel-karim Ajami , Hassan Artail

We present an exact mathematical framework able to describe site-percolation transitions in real multiplex networks. Specifically, we consider the average percolation diagram valid over an infinite number of random configurations where…

Physics and Society · Physics 2016-12-21 Ginestra Bianconi , Filippo Radicchi
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