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Understanding cascading processes on complex network topologies is paramount for modelling how diseases, information, fake news and other media spread. In this paper, we extend the multi-type branching process method developed in Keating et…

Physics and Society · Physics 2022-12-02 Leah A. Keating , James P. Gleeson , David J. P. O'Sullivan

Diffusion processes in networks are increasingly used to model the spread of information and social influence. In several applications in computational sustainability such as the spread of wildlife, infectious diseases and traffic mobility…

Social and Information Networks · Computer Science 2013-09-27 Akshat Kumar , Daniel Sheldon , Biplav Srivastava

Several systems can be modeled as sets of interconnected networks or networks with multiple types of connections, here generally called multilayer networks. Spreading processes such as information propagation among users of an online social…

Social and Information Networks · Computer Science 2015-06-03 Mostafa Salehi , Rajesh Sharma , Moreno Marzolla , Matteo Magnani , Payam Siyari , Danilo Montesi

Contagion processes on networks, including disease spreading, information diffusion, or social behaviors propagation, can be modeled as simple contagion, i.e. involving one connection at a time, or as complex contagion, in which multiple…

Physics and Society · Physics 2023-06-19 Giulia Cencetti , Diego Andrés Contreras , Marco Mancastroppa , Alain Barrat

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…

Physics and Society · Physics 2023-08-30 Julian Kates-Harbeck , Michael M. Desai

Models of disease spreading are critical for predicting infection growth in a population and evaluating public health policies. However, standard models typically represent the dynamics of disease transmission between individuals using…

Physics and Society · Physics 2022-06-07 Christopher A. Browne , Daniel B. Amchin , Joanna Schneider , Sujit S. Datta

With the advancement of computational network science, its research scope has significantly expanded beyond static graphs to encompass more complex structures. The introduction of streaming, temporal, multilayer, and hypernetwork approaches…

Social and Information Networks · Computer Science 2024-05-29 Michał Czuba , Mateusz Nurek , Damian Serwata , Yu-Xuan Qiu , Mingshan Jia , Katarzyna Musial , Radosław Michalski , Piotr Bródka

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

Complex contagion adoption dynamics are characterised by a node being more likely to adopt after multiple network neighbours have adopted. We show how to construct multi-type branching processes to approximate complex contagion adoption…

Physics and Society · Physics 2022-04-06 Leah A. Keating , James P. Gleeson , David J. P. O'Sullivan

In this paper we study a simple cascading process in a structured heterogeneous population, namely, a network composed of two loosely coupled communities. We demonstrate that under certain conditions the cascading dynamics in such a network…

Statistical Mechanics · Physics 2008-03-14 Aram Galstyan , Paul Cohen

The spread of socially-learnt behaviours occurs in many animal species, and understanding how behaviours spread can provide novel insights into the causes and consequences of sociality. Within wild populations, behaviour spread is often…

Social and Information Networks · Computer Science 2020-12-17 Josh A. Firth , Gregory F. Albery , Kristina B. Beck , Ivan Jarić , Lewis G. Spurgin , Ben C. Sheldon , Will Hoppitt

A model for the spreading of online information or "memes" on multiplex networks is introduced and analyzed using branching-process methods. The model generalizes that of [Gleeson et al., Phys.Rev. X., 2016] in two ways. First, even for a…

Physics and Society · Physics 2019-03-01 Joseph D. O'Brien , Ioannis K. Dassios , James P. Gleeson

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

Spreading processes have been largely studied in the literature, both analytically and by means of large-scale numerical simulations. These processes mainly include the propagation of diseases, rumors and information on top of a given…

Physics and Society · Physics 2019-05-10 Guilherme Ferraz de Arruda , Francisco A. Rodrigues , Yamir Moreno

The propagations of diseases, behaviors and information in real systems are rarely independent of each other, but they are coevolving with strong interactions. To uncover the dynamical mechanisms, the evolving spatiotemporal patterns and…

Physics and Society · Physics 2019-10-02 Wei Wang , Quan-Hui Liu , Junhao Liang , Yanqing Hu , Tao Zhou

The spreading dynamics in social networks are often studied under the assumption that individuals' statuses, whether informed or infected, are fully observable. However, in many real-world situations, such statuses remain unobservable,…

Social and Information Networks · Computer Science 2026-02-23 Derrick Gilchrist Edward Manoharan , Anubha Goel , Alexandros Iosifidis , Henri Hansen , Juho Kanniainen

Many real-world networks display a community structure. We study two random graph models that create a network with similar community structure as a given network. One model preserves the exact community structure of the original network,…

Physics and Society · Physics 2016-11-21 Clara Stegehuis , Remco van der Hofstad , Johan S. H. van Leeuwaarden

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 statistical field theory of information dynamics on complex networks concerns the dynamical evolution of large classes of models of complex systems. Previous work has focused on networks where nodes carry an information field, which…

Physics and Society · Physics 2023-05-15 Wout Merbis , Manlio de Domenico

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
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