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Percolation transition is widely observed in networks ranging from biology to engineering. While much attention has been paid to network topologies, studies rarely focus on critical percolation phenomena driven by network dynamics. Using…

Physics and Society · Physics 2019-01-08 Guanwen Zeng , Daqing Li , Shengmin Guo , Liang Gao , Ziyou Gao , H. Eugene Stanley , Shlomo Havlin

This paper develops a mathematical framework to study signal networks, in which nodes can be active or inactive, and their activation or deactivation is driven by external signals and the states of the nodes to which they are connected via…

Probability · Mathematics 2025-10-14 Bernd Heidergott , Frank den Hollander , Ines Lindner , Azadeh Parvaneh

The paper is devoted to the spreading of a message within the random graph evolving by the Norros-Reittu preferential attachment model. The latter model forms random Poissonian numbers of edges between newly added nodes and existing ones.…

Statistics Theory · Mathematics 2025-05-16 N. M. Markovich , D. V. Osipov

We present a comparative study of the application of a recently introduced heuristic algorithm to the optimization of transport on three major types of complex networks. The algorithm balances network traffic iteratively by minimizing the…

Disordered Systems and Neural Networks · Physics 2007-07-12 Bogdan Danila , Yong Yu , John A. Marsh , Kevin E. Bassler

We study kinetic transport through modular networks consisting of alternating domains using both analytical and numerical methods. We demonstrate that the mean velocity is insensitive to the local structure of the network, and it indicates…

Statistical Mechanics · Physics 2023-11-27 Matthew Gerry , Dvira Segal

Proximity networks are time-varying graphs representing the closeness among humans moving in a physical space. Their properties have been extensively studied in the past decade as they critically affect the behavior of spreading phenomena…

Physics and Society · Physics 2019-11-28 Fragkiskos Papadopoulos , Marco Antonio Rodríguez Flores

In this paper we analyze a cognitive radio network with one primary and one secondary transmitter, in which the primary transmitter has bursty arrivals while the secondary node is assumed to be saturated (i.e. always has a packet waiting to…

Networking and Internet Architecture · Computer Science 2015-06-15 Nikolaos Pappas , Marios Kountouris

We consider a Mobile Ad-hoc NETworks (MANET) formed by "n" nodes that move independently at random over a finite square region of the plane. Nodes exchange data if they are at distance at most "r" within each other, where r>0 is the node…

Discrete Mathematics · Computer Science 2009-03-04 Andrea E. F. Clementi , Francesco Pasquale , Riccardo Silvestri

We analyze information diffusion using empirical data that tracks online communication around two instances of mass political mobilization, including the year that lapsed in-between the protests. We compare the global properties of the…

Physics and Society · Physics 2015-06-16 Raquel A. Baños , Javier Borge-Holthoefer , Ning Wang , Yamir Moreno , Sandra González-Bailón

We model the transmission of a message on the complete graph with n vertices and limited resources. The vertices of the graph represent servers that may broadcast the message at random. Each server has a random emission capital that…

Probability · Mathematics 2019-02-20 Francis Comets , François Delarue , René Schott

This paper is concerned with the characterization of the relationship between topology and traffic dynamics. We use a model of network generation that allows the transition from random to scale free networks. Specifically, we consider three…

Networking and Internet Architecture · Computer Science 2007-05-23 David Arrowsmith , Mario di Bernardo , Francesco Sorrentino

Recent empirical studies have confirmed the key roles of complex contagion mechanisms such as memory, social reinforcement, and decay effects in information diffusion and behaviour spreading. Inspired by this fact, we here propose a new…

Physics and Society · Physics 2014-08-20 Pengbi Cui , Ming Tang , Zhi-Xi Wu

We present a scattering theory for the efficient transmission of an excitation across a finite network with designed disorder. We show that the presence of randomly positioned networks sites allows to significantly accelerate the excitation…

Quantum Physics · Physics 2017-11-22 Mattia Walschaers , Roberto Mulet , Andreas Buchleitner

We investigate the fundamental capacity limits of space-time journeys of information in mobile and Delay Tolerant Networks (DTNs), where information is either transmitted or carried by mobile nodes, using store-carry-forward routing. We…

Networking and Internet Architecture · Computer Science 2016-11-18 Philippe Jacquet , Bernard Mans , Georgios Rodolakis

We consider a coded distributed computing problem in a ring-based communication network, where $N$ computing nodes are arranged in a ring topology and each node can only communicate with its neighbors within a constant distance $d$. To…

Information Theory · Computer Science 2026-03-06 Zhenhao Huang , Minquan Cheng , Kai Wan , Qifu Tyler Sun , Youlong Wu

We study spatial networks constructed by randomly placing nodes on a manifold and joining two nodes with an edge whenever their distance is less than a certain cutoff. We derive the general expression for the connectivity distribution of…

Disordered Systems and Neural Networks · Physics 2009-11-10 Carl Herrmann , Marc Barthelemy , Paolo Provero

We consider scheduled message communication over a discrete memoryless degraded broadcast channel. The framework we consider here models both the random message arrivals and the subsequent reliable communication by suitably combining…

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

A device-to-device (D2D) wireless network is considered, where user devices also have the ability to cache content. In such networks, users are mobile and communication links can be spontaneously activated and dropped depending on the…

Networking and Internet Architecture · Computer Science 2016-11-09 Chedia Jarray , Anastasios Giovanidis

We consider nanonodes randomly distributed in a circular area and characterize the received signal strength when a pair of these nodes employ molecular communication. Two communication methods are investigated, namely free diffusion and…

Emerging Technologies · Computer Science 2018-01-29 Rafay Iqbal Ansari , Chrysostomos Chrysostomou , Taqwa Saeed , Marios Lestas , Andreas Pitsillides

Inspired by distributed resource allocation problems in dynamic topology networks, we initiate the study of distributed consensus with finite messaging passing. We first find a sufficient condition on the network graph for which no…

Information Theory · Computer Science 2010-07-01 Debashis Dash , Ashutosh Sabharwal
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