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Efficient networking has a substantial economic and societal impact in a broad range of areas including transportation systems, wired and wireless communications and a range of Internet applications. As transportation and communication…

Physics and Society · Physics 2015-05-30 Chi Ho Yeung , David Saad

Understanding how local perturbations induce the transient dynamics of a network of coupled units is essential to control and operate such systems. Often a perturbation initiated in one unit spreads to other units whose dynamical state they…

Physics and Society · Physics 2021-06-02 Malte Schröder , Xiaozhu Zhang , Justine Wolter , Marc Timme

Inference of the network structure (e.g., routing topology) and dynamics (e.g., link performance) is an essential component in many network design and management tasks. In this paper we propose a new, general framework for analyzing and…

Networking and Internet Architecture · Computer Science 2019-11-13 Jian Ni , Sekhar Tatikonda

We propose a model for the growth of weighted networks that couples the establishment of new edges and vertices and the weights' dynamical evolution. The model is based on a simple weight-driven dynamics and generates networks exhibiting…

Disordered Systems and Neural Networks · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Alessandro Vespignani

A biologically motivated individual-based framework for evolution in network-structured populations is developed that can accommodate eco-evolutionary dynamics. This framework is used to construct a network birth and death model. The…

Populations and Evolution · Quantitative Biology 2021-03-19 Karan Pattni , Christopher E. Overton , Kieran J. Sharkey

Given a reaction-diffusion system interacting via a complex network, we propose two different techniques to modify the network topology while preserving its dynamical behaviour. In the region of parameters where the homogeneous solution…

Physics and Society · Physics 2018-12-14 Giulia Cencetti , Pau Clusella , Duccio Fanelli

It is well-known that the behavior of many dynamical processes running on networks is intimately related to the eigenvalue spectrum of the network. In this paper, we address the problem of inferring global information regarding the…

Optimization and Control · Mathematics 2011-01-14 Victor M. Preciado , Ali Jadbabaie

In this work, we explore the state-space formulation of a network process to recover, from partial observations, the underlying network topology that drives its dynamics. To do so, we employ subspace techniques borrowed from system…

Signal Processing · Electrical Eng. & Systems 2019-06-26 Mario Coutino , Elvin Isufi , Takanori Maehara , Geert Leus

Inferring the network topology from the dynamics is a fundamental problem with wide applications in geology, biology and even counter-terrorism. Based on the propagation process, we present a simple method to uncover the network topology.…

Physics and Society · Physics 2013-11-21 An Zeng

Adaptive networks have been recently introduced in the context of disease propagation on complex networks. They account for the mutual interaction between the network topology and the states of the nodes. Until now, existing models have…

Statistical Mechanics · Physics 2010-09-28 Vincent Marceau , Pierre-André Noël , Laurent Hébert-Dufresne , Antoine Allard , Louis J. Dubé

In this work we study the behavior of classical two-person, two-strategies evolutionary games on networks embedded in a Euclidean two-dimensional space with different kinds of degree distributions and topologies going from regular to…

Physics and Society · Physics 2013-07-03 Pierre Buesser , Marco Tomassini

We introduce a model for the dynamic self-organization of the electric grid. The model is characterized by a conserved magnitude, energy, that can travel following the links of the network to satisfy nodes' load. The load fluctuates in time…

Physics and Society · Physics 2016-08-16 Alessandro Scirè , Idán Tuval , Víctor M. Eguíluz

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

Deciphering the associations between network connectivity and nodal attributes is one of the core problems in network science. The dependency structure and high-dimensionality of networks pose unique challenges to traditional dependency…

Methodology · Statistics 2024-06-27 Youjin Lee , Cencheng Shen , Carey E. Priebe , Joshua T. Vogelstein

Using a simple model with link removals as well as link additions, we show that an evolving network is scale free with a degree exponent in the range of (2, 4]. We then establish a relation between the network evolution and a set of…

Mathematical Physics · Physics 2007-05-23 Dinghua Shi , Liming Liu , Xiang Zhu , Huijie Zhou , Binbin Wang

Dynamic transportation networks have been analyzed for years by means of static graph-based indicators in order to study the temporal evolution of relevant network components, and to reveal complex dependencies that would not be easily…

Machine Learning · Statistics 2022-02-25 Hector Rodriguez-Deniz , Mattias Villani , Augusto Voltes-Dorta

Models of network diffusion typically rely on the Laplacian matrix, capturing interactions via direct connections. Beyond direct interactions, information in many systems can also flow via indirect pathways, where influence typically…

Physics and Society · Physics 2025-10-10 Lluís Torres-Hugas , Jordi Duch , Sergio Gómez

Complex networks are characterized by latent geometries induced by their topology or by the dynamics on the top of them. In the latter case, different network-driven processes induce distinct geometric features that can be captured by…

Physics and Society · Physics 2021-04-07 Giulia Bertagnolli , Manlio De Domenico

Historically studies of behaviour on networks have focused on the behaviour of individuals (node-based) or on the aggregate behaviour of the entire network. We propose a new method to decompose a temporal network into macroscale components…

Social and Information Networks · Computer Science 2018-08-16 Andrew Mellor

In several network problems the optimum behavior of the agents (i.e., the nodes of the network) is not known before deployment. Furthermore, the agents might be required to adapt, i.e. change their behavior based on the environment…

Neural and Evolutionary Computing · Computer Science 2020-12-22 Anil Yaman , Giovanni Iacca
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