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The aim of this paper is to study rumor processes in random environment. In a rumor process a signal starts from the stations of a fixed vertex (the root) and travels on a graph from vertex to vertex. We consider two rumor processes. In the…

Probability · Mathematics 2015-06-16 Daniela Bertacchi , Fabio Zucca

This paper proposes a dynamic epidemic model for successive opinion diffusion in social networks, extending the SHIMR model. It incorporates dynamic decision-making influenced by social distances and captures accumulative opinion diffusion…

Social and Information Networks · Computer Science 2025-12-01 Bin Han , Fabienne Renckens , C. Clark Cao , Hans D. Schotten

Studying information propagation dynamics in social media can elucidate user behaviors and patterns. However, previous research often focuses on single platforms and fails to differentiate between the nuanced roles of source users and other…

Social and Information Networks · Computer Science 2024-02-01 Dongpeng Hou , Shu Yin , Chao Gao , Xianghua Li , Zhen Wang

The spread of disinformation (maliciously spread false information) in online social networks has become an important problem in today's society. Disinformation's spread is facilitated by the fact that individuals often accept false…

Physics and Society · Physics 2025-04-15 Corbit R. Sampson , Juan G. Restrepo

The rapid spread of information and rumors through social media platforms, especially in group settings, motivates the need for more sophisticated models of rumor propagation. Traditional pairwise models do not account for group…

Physics and Society · Physics 2025-04-29 Kleber A. Oliveira , Pietro Traversa , Guilherme Ferraz de Arruda , Yamir Moreno

We consider the following interacting particle system: There is a ``gas'' of particles, each of which performs a continuous-time simple random walk on $\mathbb{Z}^d$, with jump rate $D_A$. These particles are called $A$-particles and move…

Probability · Mathematics 2007-05-23 Harry Kesten , Vladas Sidoravicius

We study a rumour propagation model along the lines of \cite{lebensztayn2008disk} as a long-range percolation model on $\Z$. We begin by showing a sharp phase transition-type behaviour in the sense of exponential decay of the survival time…

Probability · Mathematics 2024-10-17 Rishideep Roy , Kumarjit Saha

We study a rumour model from a percolation theory and branching process point of view. The existence of a giant component is related to the event where the rumour spreads out trough an infinite number of individuals. We present sharp lower…

Probability · Mathematics 2010-11-29 Valdivino V. Junior , Fábio P. Machado , Mauricio Zuluaga

We introduce the generalized rumor spreading model and investigate some properties of this model on different complex social networks. Despite pervious rumor models that both the spreader-spreader ($SS$) and the spreader-stifler ($SR$)…

Physics and Society · Physics 2013-03-26 Yaghoob Naimi , Mohammad Naimi

The dynamics of information dissemination in social networks is of paramount importance in processes such as rumors or fads propagation, spread of product innovations or "word-of-mouth" communications. Due to the difficulty in tracking a…

Physics and Society · Physics 2010-03-01 Jose Luis Iribarren , Esteban Moro

We develop a simple and generic method to analyze randomized rumor spreading processes in fully connected networks. In contrast to all previous works, which heavily exploit the precise definition of the process under investigation, we only…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-21 Benjamin Doerr , Anatolii Kostrygin

In earlier rumor spreading models, at each time step nodes contact all of their neighbors. In more realistic scenario it is possible that a node may contact only some of its neighbors to spread the rumor. Therefore it is must in real world…

Social and Information Networks · Computer Science 2013-04-05 Anurag Singh , Yatindra Nath Singh

Nowadays, one of the challenges we face when carrying out modeling of epidemic spreading is to develop methods to control disease transmission. In this article we study how the spreading of knowledge of a disease affects the propagation of…

We study the dynamics and intervention strategies of a rumor using the modified Maki-Thompson model. A key challenge in social networks is distinguishing between natural increases in transmissibility and artificial injections of rumor…

Physics and Society · Physics 2026-03-11 Eva Rifà , Julian Vicens , Emanuele Cozzo

This paper focuses on studying and understanding of stochastic dynamics in population composition when the population is subject to rumor spreading. We undertake the study by first developing an individual…

Physics and Society · Physics 2020-03-03 Lan Di , Yudi Gu , Guoqi Qian , George Xianzhi Yuan

Randomized rumor spreading is a classical protocol to disseminate information across a network. At SODA 2008, a quasirandom version of this protocol was proposed and competitive bounds for its run-time were proven. This prompts the…

Discrete Mathematics · Computer Science 2013-05-21 Benjamin Doerr , Anna Huber , Ariel Levavi

We study a gossip protocol called forwarding without repeating (FWR). The objective is to spread multiple rumors over a graph as efficiently as possible. FWR accomplishes this by having nodes record which messages they have forwarded to…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-15 Vincent Gripon , Vitaly Skachek , Michael Rabbat

The asynchronous rumor algorithm spreading propagates a piece of information, the so-called rumor, in a network. Starting with a single informed node, each node is associated with an exponential time clock with rate $1$ and calls a random…

Data Structures and Algorithms · Computer Science 2020-05-19 Ali Pourmiri , Bernard Mans

A novel hierarchical model of complex network is proposed, and information propagation process taking place on top of the network is investigated. Our model is demonstrated to have small world property. We found that the frequency…

Dynamical Systems · Mathematics 2007-05-23 Feng Fu , Lianghuan Liu , Long Wang

The spreading and controlling of rumors have great impacts on our society. The transmission of infectious diseases and the spreading of rumors have some common scenarios. Like cross-infection propagation of diseases, two or many kinds of…

Physics and Society · Physics 2025-10-14 Md. Nahid Hasan , Sujana Azmi Polin , Saiful Islam , Chandra Nath Podder