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Multiplex networks describe a large variety of complex systems including infrastructures, transportation networks and biological systems. Most of these networks feature a significant link overlap. It is therefore of particular importance to…

Physics and Society · Physics 2016-09-07 Davide Cellai , Sergey N. Dorogovtsev , Ginestra Bianconi

The real-time routing for satellite communication of the mega-constellations is being challenged due to the large-scale of network nodes, especially on devices with limited computation such as onboard embedded systems. In this paper, a fast…

Networking and Internet Architecture · Computer Science 2024-04-03 Shenshen Luan , Luyuan Wang , Yepeng Liu , Ninghan Sun , Ran Zhang

Recently increasing attention has been addressed to the fluctuations observed in percolation defined in single and multiplex networks. These fluctuations are extremely important to characterize the robustness of real finite networks but…

Disordered Systems and Neural Networks · Physics 2019-08-21 Ginestra Bianconi

In the context of 5G, infrastructure sharing has been identified as a potential solution to reduce the investment costs of cellular networks. In particular, it can help low-income regions build 5G networks more affordably and further bridge…

Systems and Control · Electrical Eng. & Systems 2025-02-13 Hao Lin , Mustafa A. Kishk , Mohamed-Slim Alouini

The traditional node percolation map of directed networks is reanalyzed in terms of edges. In the percolated phase, edges can mainly organize into five distinct giant connected components, interfaces bridging the communication of nodes in…

Disordered Systems and Neural Networks · Physics 2009-11-13 M. Angeles Serrano , Paolo De Los Rios

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

We introduce a dynamic percolation model aimed at describing the consumption, and eventual exhaustion, of resources in transportation networks. In the model, rational agents progressively consume the edges of a network along demanded…

Physics and Society · Physics 2025-09-15 Minsuk Kim , C. Tyler Diggans , Filippo Radicchi

We analyze an idealized model for the transmission or flow of particles, or discrete packets of information, in a weight bearing branching hierarchical 2-D networks, and its variants. The capacities add hierarchically down the clusters.…

Statistical Mechanics · Physics 2015-03-19 Ajay Deep Kachhvah , Neelima Gupte

The structure and routing architecture design is critical for achieving low latency and high capacity in future LEO space networks (SNs). Existing studies mainly focus on topologies of space networks, but there is a lack of analysis on…

Networking and Internet Architecture · Computer Science 2024-01-17 Xiangtong Wang , Menglong Yang , Songchen Han , Wei Li

Classical percolation theory underlies many processes of information transfer along the links of a network. In these standard situations, the requirement for two nodes to be able to communicate is the presence of at least one uninterrupted…

Statistical Mechanics · Physics 2023-10-25 Lorenzo Cirigliano , Claudio Castellano , Gábor Timár

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

The function of a real network depends not only on the reliability of its own components, but is affected also by the simultaneous operation of other real networks coupled with it. Robustness of systems composed of interdependent network…

Physics and Society · Physics 2015-07-10 Filippo Radicchi

Traditional end-to-end congestion control mechanisms assume data transferring happens between each pair user. In contrast, in a P2P network, many peers may locally keep a copy of a specific data object. If the path between a pair of peers…

Networking and Internet Architecture · Computer Science 2010-03-30 Yong-Xiang Zhao , Chang-Jia Chen

In a quantum communication network, links represent entanglement between qubits located at different nodes. Even if two nodes are not directly linked by shared entanglement, communication channels can be established between them via quantum…

Quantum Physics · Physics 2025-03-07 Xiangyi Meng , Bingjie Hao , Balázs Ráth , István A. Kovács

Message passing techniques on networks encompasses a family of related methods that can be employed to ascertain many important properties of a network. It is widely considered to be the state of the art formulation for networked systems…

Physics and Society · Physics 2025-04-24 Peter Mann , Simon Dobson

Franceschetti et al. have recently shown that per-node throughput in an extended, ad hoc wireless network with $\Theta(n)$ randomly distributed nodes and multihop routing can be increased from the $\Omega({1 \over \sqrt{n} \log n})$ scaling…

Information Theory · Computer Science 2007-10-10 Awlok Josan , Mingyan Liu , David L. Neuhoff , S. Sandeep Pradhan

We study the optimal routing on multilayered communication networks, which are composed of two layers of subnetworks. One is a wireless network, and the other is a wired network. We develop a simple recurrent algorithm to find an optimal…

Networking and Internet Architecture · Computer Science 2013-05-03 Jie Zhou , Gang Yan , Choy-Heng Lai

We study percolation on networks, which is used as a model of the resilience of networked systems such as the Internet to attack or failure and as a simple model of the spread of disease over human contact networks. We reformulate…

Statistical Mechanics · Physics 2014-11-20 Brian Karrer , M. E. J. Newman , Lenka Zdeborová

We introduce a new approach to connectivity-dependent properties of diluted systems, which is based on the transfer-matrix formulation of the percolation problem. It simultaneously incorporates the connective properties reflected in…

Statistical Mechanics · Physics 2009-10-31 S. L. A. de Queiroz , R. B. Stinchcombe

We study fundamental characteristics for the connectivity of multi-hop D2D networks. Devices are randomly distributed on street systems and are able to communicate with each other whenever their separation is smaller than some connectivity…

Networking and Internet Architecture · Computer Science 2018-02-01 Elie Cali , Nila Novita Gafur , Christian Hirsch , Benedikt Jahnel , Taoufik En-Najjary , Robert I. A. Patterson
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