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We study the microscopic time fluctuations of traffic-load and the global statistical properties of a dense traffic of particles on scale-free cyclic graphs. For a wide range of driving rates $R$ the traffic is stationary and the load…

Statistical Mechanics · Physics 2009-11-10 Bosiljka Tadic , Stefan Thurner , G. J. Rodgers

Device-to-device (D2D) communication enables us to spread information in the local area without infrastructure support. In this paper, we focus on information spreading in mobile wireless networks where all nodes move around. The source…

Networking and Internet Architecture · Computer Science 2014-06-04 Jinho Choi , Seung Min Yu , Seong-Lyun Kim

We consider stability of scheduled multiaccess message communication with random coding and joint maximum-likehood decoding of messages. The framework we consider here models both the random message arrivals and the subsequent reliable…

Information Theory · Computer Science 2007-07-13 KCV Kalyanarama Sesha Sayee , Utpal Mukherji

Consider networks on $n$ vertices at average density 1 per unit area. We seek a network that minimizes total length subject to some constraint on journey times, averaged over source-destination pairs. Suppose journey times depend on both…

Statistical Mechanics · Physics 2007-05-23 David Aldous

This paper introduces a new macroscopic perspective for simulating transportation networks. The idea is to look at the network as connected nodes. Each node sends an information package to its neighbors. Basically, the information package…

Dynamical Systems · Mathematics 2024-07-19 Omar Mansour , Tomer Toledo , Shadi Haj-Yahia , Wafa Elias

The paper is concerned with the interplay between network structure and traffic dynamics in a communications network, from the viewpoint of end-to-end performance of packet transfer. We use a model of network generation that allows the…

Disordered Systems and Neural Networks · Physics 2016-11-18 David Arrowsmith , Mario di Bernardo , Francesco Sorrentino

We present an efficient routing approach for delivering packets in complex networks. On delivering a message from a node to a destination, a node forwards the message to a neighbor by estimating the waiting time along the shortest path from…

Networking and Internet Architecture · Computer Science 2008-06-12 Huan Zhang , Zonghua Liu , Ming Tang , P. M. Hui

We study synchronization in the context of network traffic on a $2-d$ communication network with local clustering and geographic separations. The network consists of nodes and randomly distributed hubs where the top five hubs ranked…

Physics and Society · Physics 2015-05-13 Satyam Mukherjee , Neelima Gupte

We study network traffic dynamics in a two dimensional communication network with regular nodes and hubs. If the network experiences heavy message traffic, congestion occurs due to finite capacity of the nodes. We discuss strategies to…

Statistical Mechanics · Physics 2007-05-23 Brajendra K. Singh , Neelima Gupte

We consider the role of network geometry in two types of diffusion processes: transport of constant-density information packets with queuing on nodes, and constant voltage-driven tunneling of electrons. The underlying network is a…

Statistical Mechanics · Physics 2010-10-05 Milovan Suvakov , Bosiljka Tadic

Communication of signals among nodes in a complex network poses fundamental problems of efficiency and cost. Routing of messages along shortest paths requires global information about the topology, while spreading by diffusion, which…

Neurons and Cognition · Quantitative Biology 2019-06-19 Andrea Avena-Koenigsberger , Xiaoran Yan , Artemy Kolchinsky , Martijn van den Heuvel , Patric Hagmann , Olaf Sporns

Multilayer networks describe well many real interconnected communication and transportation systems, ranging from computer networks to multimodal mobility infrastructures. Here, we introduce a model in which the nodes have a limited…

Physics and Society · Physics 2018-02-22 Sabato Manfredi , Edmondo Di Tucci , Vito Latora

Global transport and communication networks enable information, ideas and infectious diseases now to spread at speeds far beyond what has historically been possible. To effectively monitor, design, or intervene in such epidemic-like…

Physics and Society · Physics 2020-02-13 Sam Moore , Tim Rogers

Internet, social media, neuronal or blood vessel are organized in complex networks. These networks are characterized by several quantities such as the underlying graph connectivity (topology), how they grow in time, scaling laws or by the…

Subcellular Processes · Quantitative Biology 2018-10-18 Matteo Dora , David Holcman

We study structural feature and evolution of the Internet at the autonomous systems level. Extracting relevant parameters for the growth dynamics of the Internet topology, we construct a toy model for the Internet evolution, which includes…

Physics and Society · Physics 2015-06-26 H. K. Lee , K. -I. Goh , B. Kahng , D. Kim

Traffic is essential for many dynamic processes on real networks, such as internet and urban traffic systems. The transport efficiency of the traffic system can be improved by taking full advantage of the resources in the system. In this…

Adaptation and Self-Organizing Systems · Physics 2015-06-04 J. -Q. Dong , Z. -G. Huang , Z. Zhou , L. Huang , Z. -X. Wu , Y. Do , Y. -H. Wang

We investigate a probabilistic model for routeing of messages in relay-augmented multihop ad-hoc networks, where each transmitter sends one message to the origin. Given the (random) transmitter locations, we weight the family of random,…

Probability · Mathematics 2018-08-14 Wolfgang König , András Tóbiás

A communication network is called a radio network if its nodes exchange messages in the following restricted way. First, a send operation performed by a node delivers copies of the same message to all directly reachable nodes. Secondly, a…

Networking and Internet Architecture · Computer Science 2018-01-03 Bogdan S. Chlebus

The congestion formation on a urban road network is one of the key issue for the development of a sustainable mobility in the future smart cities. In this work we propose a reductionist approach studying the stationary states of a simple…

Physics and Society · Physics 2024-05-28 Lorenzo Di Meco , Mirko Degli Esposti , Federico Bellisardi , Armando Bazzani

Phase transition from a free-flow phase to a jammed phase is an important feature of traffic networks. We study this transition in the case of a simple square lattice network for different values of data posting rate $(\rho)$ by introducing…

Statistical Mechanics · Physics 2009-11-11 Anjan Kumar Chandra