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A major achievement in the study of complex networks is the observation that diverse systems, from sub-cellular biology to social networks, exhibit universal topological characteristics. Yet this universality does not naturally translate to…

Physics and Society · Physics 2018-01-29 Chittaranjan Hens , Uzi Harush , Reuven Cohen , Baruch Barzel

Connectivity and reachability on temporal networks, which can describe the spreading of a disease, decimation of information or the accessibility of a public transport system over time, have been among the main contemporary areas of study…

Physics and Society · Physics 2023-06-13 Arash Badie-Modiri , Abbas K. Rizi , Márton Karsai , Mikko Kivelä

Spreading processes are ubiquitous in natural and artificial systems. They can be studied via a plethora of models, depending on the specific details of the phenomena under study. Disease contagion and rumor spreading are among the most…

The effective use of limited resources for controlling spreading processes on networks is of prime significance in diverse contexts, ranging from the identification of "influential spreaders" for maximizing information dissemination and…

Social and Information Networks · Computer Science 2022-06-01 Andrey Y. Lokhov , David Saad

Recent research on temporal networks has highlighted the limitations of a static network perspective for our understanding of complex systems with dynamic topologies. In particular, recent works have shown that i) the specific order in…

Physics and Society · Physics 2017-11-20 Ingo Scholtes , Nicolas Wider , Antonios Garas

Most theoretical tools available for the analysis of spreading processes over networks assume exponentially distributed transmission and recovery times. In practice, the empirical distribution of transmission times for many real spreading…

Social and Information Networks · Computer Science 2016-11-04 Masaki Ogura , Victor M. Preciado

The spread of an infection on a real-world social network is determined by the interplay of two processes: the dynamics of the network, whose structure changes over time according to the encounters between individuals, and the dynamics on…

Physics and Society · Physics 2015-10-28 Lorenzo Coviello , Massimo Franceschetti , Manuel Garcia-Herranz , Iyad Rahwan

Temporal networks are commonly used to represent dynamical complex systems like social networks, simultaneous firing of neurons, human mobility or public transportation. Their dynamics may evolve on multiple time scales characterising for…

Physics and Society · Physics 2024-02-27 Elsa Andres , Alain Barrat , Márton Karsai

Bio-inspired paradigms are proving to be useful in analyzing propagation and dissemination of information in networks. In this paper we explore the use of multi-type branching processes to analyse viral properties of content in a social…

Probability · Mathematics 2020-01-01 Ranbir Dhounchak , Veeraruna Kavitha , Eitan Altman

Time-varying networks describe a wide array of systems whose constituents and interactions evolve over time. They are defined by an ordered stream of interactions between nodes, yet they are often represented in terms of a sequence of…

Statistical Mechanics · Physics 2013-10-23 Bruno Ribeiro , Nicola Perra , Andrea Baronchelli

Social networks are the prime channel for the spreading of computer viruses. Yet the study of their propagation neglects the temporal nature of social interactions and the heterogeneity of users' susceptibility. Here, we introduce a…

Physics and Society · Physics 2019-05-29 Terry Brett , George Loukas , Yamir Moreno , Nicola Perra

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 study the spread of multi-competitive viruses over a (possibly) time-varying network of individuals accounting for the presence of shared infrastructure networks that further enables transmission of the virus. We establish a sufficient…

Systems and Control · Electrical Eng. & Systems 2023-03-17 Sebin Gracy , Yuan Wang , Philip E. Pare , Cesar A Uribe

Interaction within small groups can often be represented as a sequence of events, where each event involves a sender and a recipient. Recent methods for modeling network data in continuous time model the rate at which individuals interact…

Methodology · Statistics 2012-08-01 Christopher DuBois , Carter T. Butts , Daniel McFarland , Padhraic Smyth

For a reliable prediction of an epidemic or information spreading pattern in complex systems, well-defined measures are essential. In the susceptible-infected model on heterogeneous networks, the cluster of infected nodes in the…

Physics and Society · Physics 2019-04-10 Mi Jin Lee , Deok-Sun Lee

We investigate the problem of disseminating broadcast messages in wireless networks with time-varying links from a percolation-based perspective. Using a model of wireless networks based on random geometric graphs with dynamic on-off links,…

Information Theory · Computer Science 2009-02-26 Zhenning Kong , Edmund M. Yeh

Performance of standard processes over large distributed networks typically scales with the size of the network. For example, in planar topologies where nodes communicate with their natural neighbors, the scaling factor is $O(n)$, where $n$…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-18 Abhinav Mishra

Spreading dynamics is a central topic in the physics of complex systems and network science, providing a unified framework for understanding how information, behaviors, and diseases propagate through interactions among system units. In many…

Physics and Society · Physics 2026-02-10 Shuyu Jiang , Hao Ren , Yichang Gao , Yi-Cheng Zhang , Li Qi , Dayong Xiao , Jie Fan , Rui Tang , Wei Wang

To understand the contact patterns of a population -- who is in contact with whom, and when the contacts happen -- is crucial for modeling outbreaks of infectious disease. Traditional theoretical epidemiology assumes that any individual can…

Populations and Evolution · Quantitative Biology 2015-10-22 Petter Holme

The propagation of signalling molecules within cellular networks is affected by network topology, but also by the spatial arrangement of cells in the networks. Understanding the collective reaction--diffusion behaviour in space of signals…

Disordered Systems and Neural Networks · Physics 2025-01-09 Adel Mehrpooya , Vivien J. Challis , Pascal R. Buenzli