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Virtually all real-world networks are dynamical entities. In social networks, the propensity of nodes to engage in social interactions (activity) and their chances to be selected by active nodes (attractiveness) are heterogeneously…

Physics and Society · Physics 2017-06-13 Laura Alessandretti , Kaiyuan Sun , Andrea Baronchelli , Nicola Perra

Threshold cascade models have been used to describe spread of behavior in social networks and cascades of default in financial networks. In some cases, these networks may have multiple kinds of interactions, such as distinct types of social…

Physics and Society · Physics 2016-10-05 Kyu-Min Lee , Charles D. Brummitt , K. -I. Goh

Social reinforcement and modular structure are two salient features observed in the spreading of behavior through social contacts. In order to investigate the interplay between these two features, we study the generalized epidemic process…

Physics and Society · Physics 2014-05-23 Kihong Chung , Yongjoo Baek , Daniel Kim , Meesoon Ha , Hawoong Jeong

Several networks occurring in real life have modular structures that are arranged in an hierarchical fashion. In this paper, we have proposed a model for such networks, using a stochastic generation method. Using this model we show that,…

Physics and Society · Physics 2009-03-12 Raj Kumar Pan , Sitabhra Sinha

Prior social contagion models consider the spread of either one contagion at a time on interdependent networks or multiple contagions on single layer networks or under assumptions of competition. We propose a new threshold model for the…

Social and Information Networks · Computer Science 2018-09-13 Ho-Chun Herbert Chang , Feng Fu

Community structures have been identified in various complex real-world networks, for example, communication, information, internet and shareholder networks. The scaling of community size distribution indicates the heterogeneity in the…

Physics and Society · Physics 2022-07-11 Qing Yao , Bingsheng Chen , Tim S. Evans , Kim Christensen

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…

Physics and Society · Physics 2021-04-28 Samuel Unicomb , Gerardo Iñiguez , Márton Karsai

Analytical description of propagation phenomena on random networks has flourished in recent years, yet more complex systems have mainly been studied through numerical means. In this paper, a mean-field description is used to coherently…

Statistical Mechanics · Physics 2010-10-08 Laurent Hébert-Dufresne , Pierre-André Noël , Vincent Marceau , Antoine Allard , Louis J. Dubé

In this work we study diffusion in networks with community structure. We first replicate and extend work on networks with non-overlapping community structure. We then study diffusion on network models that have overlapping community…

Physics and Society · Physics 2015-03-19 Fergal Reid , Neil Hurley

Behavioral adoptions are influenced by peers in different ways. While some individuals may change after a single incoming influence, others need multiple cumulated attempts. These two mechanism, known as the simple and the complex…

Physics and Society · Physics 2024-12-02 Elsa Andres , Romualdo Pastor-Satorras , Michele Starnini , Márton Karsai

In this brief, we study epidemic spreading dynamics taking place in complex networks. We specifically investigate the effect of synergy, where multiple interactions between nodes result in a combined effect larger than the simple sum of…

Social and Information Networks · Computer Science 2019-04-23 Masaki Ogura , Wenjie Mei , Kenji Sugimoto

The spread of ideas across a social network can be studied using complex contagion models, in which agents are activated by contact with multiple activated neighbors. The investigation of complex contagions can provide crucial insights into…

Social and Information Networks · Computer Science 2015-03-19 Sergey Melnik , Jonathan A. Ward , James P. Gleeson , Mason A. Porter

Exploring the internal mechanism of information spreading is critical for understanding and controlling the process. Traditional spreading models often assume individuals play the same role in the spreading process. In reality, however,…

Social and Information Networks · Computer Science 2025-07-10 Chang Su , Fang Zhou , Linyuan Lü

The evolution of network structure and the spreading of epidemic are common coexistent dynamical processes. In most cases, network structure is treated either static or time-varying, supposing the whole network is observed in a same time…

Physics and Society · Physics 2016-03-23 Yanjun Lei , Xin Jiang , Quantong Guo , Yifang Ma , Meng Li , Zhiming Zheng

We investigate the effects of long-range social interactions in flocking dynamics by studying the dynamics of a scalar model of collective motion embedded in a complex network representing a pattern of social interactions, as observed in…

Physics and Society · Physics 2019-10-23 M. Carmen Miguel , Romualdo Pastor-Satorras

We study binary state dynamics on a network where each node acts in response to the average state of its neighborhood. Allowing varying amounts of stochasticity in both the network and node responses, we find different outcomes in random…

Physics and Society · Physics 2014-07-09 Kameron Decker Harris , Christopher M. Danforth , Peter Sheridan Dodds

The threshold model has been widely adopted as a classic model for studying contagion processes on social networks. We consider asymmetric individual interactions in social networks and introduce a persuasion mechanism into the threshold…

Physics and Society · Physics 2016-05-17 Wei-Min Huang , Li-Jie Zhang , Xin-Jian Xu , Xinchu Fu

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…

Physics and Society · Physics 2017-11-01 Iacopo Pozzana , Kaiyuan Sun , Nicola Perra

We study binary state contagion dynamics on a social network where nodes act in response to the average state of their neighborhood. We model the competing tendencies of imitation and non-conformity by incorporating an off-threshold into…

Physics and Society · Physics 2015-03-13 Kameron Decker Harris

Contacts between individuals serve as pathways where infections may propagate. These contact patterns can be represented by network structures. Static structures have been the common modeling paradigm but recent results suggest that…

Populations and Evolution · Quantitative Biology 2012-04-25 Luis Enrique Correa Rocha , Adeline Decuyper , Vincent D Blondel