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Networks model the architecture backbone of complex systems. The backbone itself can change over time leading to what is called `temporal networks'. Interpreting temporal networks as trajectories in graph space of a latent graph dynamics…

Physics and Society · Physics 2024-12-20 Annalisa Caligiuri , Tobias Galla , Lucas Lacasa

Human communication, the essence of collective social phenomena ranging from small-scale organizations to worldwide online platforms, features intense reciprocal interactions between members in order to achieve stability, cohesion, and…

Functional networks of complex systems are obtained from the analysis of the temporal activity of their components, and are often used to infer their unknown underlying connectivity. We obtain the equations relating topology and function in…

Disordered Systems and Neural Networks · Physics 2015-03-18 Víctor M. Eguíluz , Toni Pérez , Javier Borge-Holtoefer , Alex Arenas

We study the temporal co-variation of network co-evolution via the cross-link structure of networks, for which we take advantage of the formalism of hypergraphs to map cross-link structures back to network nodes. We investigate two sets of…

Disordered Systems and Neural Networks · Physics 2015-06-16 Danielle S. Bassett , Nicholas F. Wymbs , Mason A. Porter , Peter J. Mucha , Scott T. Grafton

Time-varying connections are crucial in understanding the structures and dynamics of complex networks. In this paper, we propose a continuous-time switching topology model for temporal networks that is driven by bursty behavior and study…

Physics and Society · Physics 2025-05-21 Ziyan Zeng , Minyu Feng , Matjaž Perc , Jürgen Kurths

Connectivity is a fundamental structural feature of a network that determines the outcome of any dynamics that happens on top of it. However, an analytical approach to obtain connection probabilities between nodes associated to paths of…

Atmospheric and Oceanic Physics · Physics 2021-04-28 Enrico Ser-Giacomi , Terence Legrand , Ismael Hernandez-Carrasco , Vincent Rossi

Data of physical contacts and face-to-face communications suggest temporally varying networks as the media on which infections take place among humans and animals. Epidemic processes on temporal networks are complicated by complexity of…

Physics and Society · Physics 2016-07-12 Leo Speidel , Konstantin Klemm , Víctor M. Eguíluz , Naoki Masuda

Many works have studied the Internet topology, but few have investigated the question of how it evolves over time. This paper focuses on the Internet routing IP-level topology and proposes a first step towards realistic modeling of its…

Networking and Internet Architecture · Computer Science 2015-03-19 Clémence Magnien , Amélie Medem , Fabien Tarissan

Reconstructing network connectivity from the collective dynamics of a system typically requires access to its complete continuous-time evolution although these are often experimentally inaccessible. Here we propose a theory for revealing…

Neurons and Cognition · Quantitative Biology 2018-08-08 Jose Casadiego , Dimitra Maoutsa , Marc Timme

Human communication is commonly represented as a temporal social network, and evaluated in terms of its uniqueness. We propose a set of new entropy-based measures for human communication dynamics represented within the temporal social…

Social and Information Networks · Computer Science 2018-10-29 Marcin Kulisiewicz , Przemysław Kazienko , Bolesław K. Szymański , Radosław Michalski

Networked systems display complex patterns of interactions between a large number of components. In physical networks, these interactions often occur along structural connections that link components in a hard-wired connection topology,…

Neurons and Cognition · Quantitative Biology 2018-04-03 Jason Kim , Jonathan M. Soffer , Ari E. Kahn , Jean M. Vettel , Fabio Pasqualetti , Danielle S. Bassett

The co-authorship network of scientists represents a prototype of complex evolving networks. By mapping the electronic database containing all relevant journals in mathematics and neuro-science for an eight-year period (1991-98), we infer…

Soft Condensed Matter · Physics 2009-11-07 A. L. Barabasi , H. Jeong , Z. Neda , E. Ravasz , A. Schubert , T. Vicsek

Delay-coupled networks are investigated with nonidentical delay times and the effects of such heterogeneity on the emergent dynamics of complex systems are characterized. A simple decomposition method is presented that decouples the…

Adaptation and Self-Organizing Systems · Physics 2017-04-25 Róbert Szalai , Gábor Orosz

Air transport systems are highly dynamic at temporal scales from minutes to years. This dynamic behavior not only characterizes the evolution of the system but also affect the system's functioning. Understanding the evolutionary mechanisms…

Physics and Society · Physics 2016-05-17 Luis Enrique Correa Rocha

Large dataset collected from Ubuntu chat channel is studied as a complex dynamical system with emergent collective behaviour of users. With the appropriate network mappings we examined wealthy topological structure of Ubuntu network. The…

Physics and Society · Physics 2013-12-17 Vladimir Gligorijevic

We study the large-scale topological and dynamical properties of real Internet maps at the autonomous system level, collected in a three years time interval. We find that the connectivity structure of the Internet presents average…

Statistical Mechanics · Physics 2009-11-07 Alexei Vazquez , Romualdo Pastor-Satorras , Alessandro Vespignani

Dynamical processes taking place on networks have received much attention in recent years, especially on various models of random graphs (including small world and scale free networks). They model a variety of phenomena, including the…

Probability · Mathematics 2007-05-23 Jonathan Rowe , Boris Mitavskiy

The network, the nodes of which are concepts (people's names, companies' names, etc.), extracted from web-publications, is considered. A working algorithm of extracting such concepts is presented. Edges of the network under consideration…

Information Theory · Computer Science 2008-12-18 D. V. Lande , A. A. Snarskii

This work explores models of opinion dynamics with opinion-dependent connectivity. Our starting point is that individuals have limited capabilities to engage in interactions with their peers. Motivated by this observation, we propose a…

Systems and Control · Electrical Eng. & Systems 2020-07-01 Francesca Ceragioli , Paolo Frasca , Wilbert Samuel Rossi

Previous efforts in complex networks research focused mainly on the topological features of such networks, but now also encompass the dynamics. In this Letter we discuss the relationship between structure and dynamics, with an emphasis on…