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In communication networks structure and dynamics are tightly coupled. The structure controls the flow of information and is itself shaped by the dynamical process of information exchanged between nodes. In order to reconcile structure and…

Physics and Society · Physics 2013-04-08 Jan O. Haerter , Bjorn Jamtveit , Joachim Mathiesen

We present a model for the description of the evolution of contacts among individuals in a network. At each time step each individual is associated with a domain or neighborhood of fully connected agents.The dynamics of this changing…

Cellular Automata and Lattice Gases · Physics 2007-05-23 M. N. Kuperman , M. Ballard , M. F. Laguna

We study how the volatility, node- or link-based, affects the evolution of social networks in simple models. The model describes the competition between order -- promoted by the efforts of agents to coordinate -- and disorder induced by…

Physics and Society · Physics 2009-11-13 Daniele De Martino , Matteo Marsili

The spread of viruses in biological networks, computer networks, and human contact networks can have devastating effects; developing and analyzing mathematical models of these systems can be insightful and lead to societal benefits. Prior…

Optimization and Control · Mathematics 2016-09-19 Philip E. Paré , Angelia Nedić , Carolyn L. Beck

Almost all real-world networks are subject to constant evolution, and plenty of evolving networks have been investigated to uncover the underlying mechanisms for a deeper understanding of the organization and development of them. Compared…

Social and Information Networks · Computer Science 2016-10-12 Tao Wu , Leiting Chen

Networks are important representations in computer science to communicate structural aspects of a given system of interacting components. The evolution of a network has several topological properties that can provide us information on the…

Social and Information Networks · Computer Science 2020-04-30 Joao Pita Costa , Tihana Galinac Grbac

This paper introduces a statistical model for the arrival times of connection events in a computer network. Edges between nodes in a network can be interpreted and modelled as point processes where events in the process indicate information…

Applications · Statistics 2017-11-29 Matthew Price-Williams , Nick Heard

We demonstrate that a number of sociology models for social network dynamics can be viewed as continuous time Bayesian networks (CTBNs). A sampling-based approximate inference method for CTBNs can be used as the basis of an…

Social and Information Networks · Computer Science 2012-05-14 Yu Fan , Christian R. Shelton

The increasing availability of large-scale data on human behavior has catalyzed simultaneous advances in network theory, capturing the scaling properties of the interactions between a large number of individuals, and human dynamics,…

Physics and Society · Physics 2013-04-10 Chaoming Song , Dashun Wang , Albert-Laszlo Barabasi

We study the evolution of a social network with friendly/enmity connections into a balanced state by introducing a dynamical model with an intrinsic randomness, similar to Glauber dynamics in statistical mechanics. We include the…

Physics and Society · Physics 2019-08-14 Rana Shojaei , Pouya Manshour , Afshin Montakhab

Current social networks are of extremely large-scale generating tremendous information flows at every moment. How information diffuse over social networks has attracted much attention from both industry and academics. Most of the existing…

Social and Information Networks · Computer Science 2015-06-18 Chunxiao Jiang , Yan Chen , K. J. Ray Liu

The characterization of the "most connected" nodes in static or slowly evolving complex networks has helped in understanding and predicting the behavior of social, biological, and technological networked systems, including their robustness…

Physics and Society · Physics 2010-10-21 Scott A. Hill , Dan Braha

To provide a phenomenological theory for the various interesting transitions in restructuring networks we employ a statistical mechanical approach with detailed balance satisfied for the transitions between topological states. This enables…

Statistical Mechanics · Physics 2007-05-23 Imre Derenyi , Illes Farkas , Gergely Palla , Tamas Vicsek

A longitudinal social network evolves over time through the creation and/ or deletion of links among a set of actors (e.g. individuals or organizations). Longitudinal social networks are studied by network science and social science…

Social and Information Networks · Computer Science 2013-11-04 Shahadat Uddin , Mahendra Piraveenan , Arif Khan , Babak Amiri

Societies are quintessential open systems, shaped by internal dynamics as well as external influences. The question is how these external influences alter the collective behavior and network dynamics. To answer this, we investigate…

Physics and Society · Physics 2026-05-11 S. Arab Mohammadi , H. Jafari , A. Kargaran , A. Hosseiny , G. Reza Jafari

Dynamical networks are important models for the behaviour of complex systems, modelling physical, biological and societal systems, including the brain, food webs, epidemic disease in populations, power grids and many other. Such dynamical…

Chaotic Dynamics · Physics 2017-03-27 Deniz Eroglu , Jeroen Lamb , Tiago Pereira

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

Conventional studies of network growth models mainly look at the steady state degree distribution of the graph. Often long time behavior is considered, hence the initial condition is ignored. In this contribution, the time evolution of the…

Physics and Society · Physics 2013-05-10 Babak Fotouhi , Michael Rabbat

Information diffusion in online social networks is affected by the underlying network topology, but it also has the power to change it. Online users are constantly creating new links when exposed to new information sources, and in turn…

Social and Information Networks · Computer Science 2016-04-04 Mehrdad Farajtabar , Yichen Wang , Manuel Gomez Rodriguez , Shuang Li , Hongyuan Zha , Le Song

In this paper, we introduce two deterministic models aimed at capturing the dynamics of congested Internet connections. The first model is a continuous-time model that combines a system of differential equations with a sudden change in one…

Networking and Internet Architecture · Computer Science 2007-05-23 Ian Frommer , Eric Harder , Brian Hunt , Ryan Lance , Edward Ott , James Yorke
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