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Motivated by the analysis of social networks, we study a model of random networks that has both a given degree distribution and a tunable clustering coefficient. We consider two types of growth processes on these graphs: diffusion and…

概率论 · 数学 2012-02-23 Emilie Coupechoux , Marc Lelarge

We consider recurrent contagious processes on a time-varying network. As a control procedure to mitigate the epidemic, we propose an adaptive rewiring mechanism for temporary isolation of infected nodes upon their detection. As a case…

物理与社会 · 物理学 2016-03-08 Vitaly Belik , Alexander Fengler , Florian Fiebig , Hartmut H. K. Lentz , Philipp Hövel

Epidemic containment is a major concern when confronting large-scale infections in complex networks. Many works have been devoted to analytically understand how to restructure the network to minimize the impact of major outbreaks of…

物理与社会 · 物理学 2018-12-27 Joan T. Matamalas , Alex Arenas , Sergio Gómez

Models of threshold driven contagion explain the cascading spread of information, behavior, systemic risk, and epidemics on social, financial and biological networks. At odds with empirical observation, these models predict that…

物理与社会 · 物理学 2019-10-23 Samuel Unicomb , Gerardo Iñiguez , János Kertész , Márton Karsai

We consider the algorithmic problem of selecting a set of target nodes that cause the biggest activation cascade in a network. In case when the activation process obeys the diminishing returns property, a simple hill-climbing selection…

物理与社会 · 物理学 2009-05-08 Aram Galstyan , Vahe Musoyan , Paul Cohen

An outstanding problem of interdisciplinary interest is to understand quantitatively the role of social contacts in contagion dynamics. In general, there are two types of contacts: close ones among friends, colleagues and family members,…

物理与社会 · 物理学 2018-12-26 Peng-Bi Cui , Wei Wang , Shi-Min Cai , Tao Zhou , Ying-Cheng Lai

We present a study of transport on complex networks with routing based on local information. Particles hop from one node of the network to another according to a set of routing rules with different degrees of congestion awareness, ranging…

统计力学 · 物理学 2007-07-12 Bogdan Danila , Yong Yu , Samuel Earl , John A. Marsh , Zoltan Toroczkai , Kevin E. Bassler

We study SIS epidemic spreading processes unfolding on a recent generalisation of the activity-driven modelling framework. In this model of time-varying networks each node is described by two variables: activity and attractiveness. The…

物理与社会 · 物理学 2017-11-01 Iacopo Pozzana , Kaiyuan Sun , Nicola Perra

Weighted networks capture the structure of complex systems where interaction strength is meaningful. This information is essential to a large number of processes, such as threshold dynamics, where link weights reflect the amount of…

物理与社会 · 物理学 2021-04-28 Samuel Unicomb , Gerardo Iñiguez , Márton Karsai

It is commonly believed that information spreads between individuals like a pathogen, with each exposure by an informed friend potentially resulting in a naive individual becoming infected. However, empirical studies of social media suggest…

社会与信息网络 · 计算机科学 2014-03-24 Nathan O. Hodas , Kristina Lerman

The study of temporal networks in discrete time has yielded numerous insights into time-dependent networked systems in a wide variety of applications. For many complex systems, however, it is useful to develop continuous-time models of…

社会与信息网络 · 计算机科学 2021-02-10 Xinzhe Zuo , Mason A Porter

Contagion processes, representing the spread of infectious diseases, information, or social behaviors, are often schematized as taking place on networks, which encode for instance the interactions between individuals. The impact of the…

物理与社会 · 物理学 2024-07-09 Diego Andrés Contreras , Giulia Cencetti , Alain Barrat

We studied, both analytically and numerically, complex excitable networks, in which connections are time dependent and some of the nodes remain silent at each time step. More specifically, (a) there is a heterogenous distribution of…

无序系统与神经网络 · 物理学 2009-11-13 J. Marro , J. J. Torres , J. M. Cortes

We present derivations of the contagion condition for a range of spreading mechanisms on families of generalized random networks and bipartite random networks. We show how the contagion condition can be broken into three elements, two…

物理与社会 · 物理学 2017-09-01 Peter Sheridan Dodds

We investigate a discrete-time two-strain symbiotic epidemic model on complex networks with both random and long-range interactions. Our analysis examines how the co-infection recovery rate ($\mu$), the long-range decay exponent ($\alpha$),…

物理与社会 · 物理学 2025-09-23 Frank Namugera

It has recently become possible to study the dynamics of information diffusion in techno-social systems at scale, due to the emergence of online platforms, such as Twitter, with millions of users. One question that systematically recurs is…

物理与社会 · 物理学 2017-11-01 Bjarke Mønsted , Piotr Sapieżyński , Emilio Ferrara , Sune Lehmann

Ideas, behaviors, and opinions spread through social networks. If the probability of spreading to a new individual is a non-linear function of the fraction of the individuals' affected neighbors, such a spreading process becomes a "complex…

物理与社会 · 物理学 2023-08-30 Julian Kates-Harbeck , Michael M. Desai

A network epidemics model based on the classical Polya urn scheme is investigated. Temporal contagion processes are generated on the network nodes using a modified Polya sampling scheme that accounts for spatial infection among neighbouring…

社会与信息网络 · 计算机科学 2017-12-12 Mikhail Hayhoe , Fady Alajaji , Bahman Gharesifard

A novel approach is developed for discovering directed connectivity between specified pairs of nodes in a high-dimensional network (HDN) of brain signals. To accurately identify causal connectivity for such specified objectives, it is…

应用统计 · 统计学 2025-05-06 Sipan Aslan , Hernando Ombao

The propagation of information in social, biological and technological systems represents a crucial component in their dynamic behavior. When limited to pairwise interactions, a rather firm grip is available on the relevant parameters and…

物理与社会 · 物理学 2021-09-15 Z. Li , Z. Deng , Z. Han , K. Alfaro-Bittner , B. Barzel , S. Boccaletti