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In this paper, we consider a random network such that there could be a link between any two nodes in the network with a certain probability (plink). Diffusion is the phenomenon of spreading information throughout the network, starting from…

Social and Information Networks · Computer Science 2015-11-23 Natarajan Meghanathan

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 investigate how suitable a weighted network is for gossip spreading. The proposed model is based on the gossip spreading model introduced by Lind et.al. on unweighted networks. Weight represents "friendship." Potential spreader prefers…

Social and Information Networks · Computer Science 2012-11-05 Mursel Tasgin , Haluk O. Bingol

The Maki-Thompson rumor model is defined by assuming that a population represented by a graph is subdivided into three classes of individuals; namely, ignorants, spreaders and stiflers. A spreader tells the rumor to any of its nearest…

Probability · Mathematics 2022-01-05 Valdivino V. Junior , Pablo M. Rodriguez , Adalto Speroto

We develop an analytical model of information dissemination for a gossiping protocol that combines both pull and push approaches. With this model we analyse how fast an item is replicated through a network, and how fast the item spreads in…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-03-11 Rena Bakhshi , Daniela Gavidia , Wan Fokkink , Maarten van Steen

Numerus works that study the spread of information in social networks include a spreading mechanism in which a set of nodes is initially infected (i.e. seeded), followed by a viral process, which spontaneously spread the message through the…

Social and Information Networks · Computer Science 2017-04-07 Alon Sela , Dmitri Goldenberg , Irad Ben-Gal , Erez Shmueli

We study the propagation of information in social networks. To do so, we focus on a cascade model where nodes are infected with {probability $p_1$ after their first contact with the information and with probability $p_2$ at all subsequent…

Physics and Society · Physics 2009-11-13 C. de Kerchove , G. Krings , R. Lambiotte , V. D. Blondel , P. Van Dooren

The paper is devoted to the spreading of a message within the random graph evolving by the Norros-Reittu preferential attachment model. The latter model forms random Poissonian numbers of edges between newly added nodes and existing ones.…

Statistics Theory · Mathematics 2025-05-16 N. M. Markovich , D. V. Osipov

We study the process of information dispersal in a network with communication errors and local error-correction. Specifically we consider a simple model where a single bit of information initially known to a single source is dispersed…

Social and Information Networks · Computer Science 2021-07-15 Omri Ben-Eliezer , Elchanan Mossel , Madhu Sudan

In this paper, we study PUSH-PULL style rumor spreading algorithms in the mobile telephone model, a variant of the classical telephone model in which each node can participate in at most one connection per round; i.e., you can no longer…

Data Structures and Algorithms · Computer Science 2016-07-20 Mohsen Ghaffari , Calvin Newport

One major function of social networks (e.g., massive online social networks) is the dissemination of information such as scientific knowledge, news, and rumors. Information can be propagated by the users of the network via natural…

Computer Science and Game Theory · Computer Science 2010-06-30 Dmitry Zinoviev , Vy Duong , Honggang Zhang

This paper addresses the rumor source identification problem, where the goal is to find the origin node of a rumor in a network among a given set of nodes with the rumor. In this paper, we focus on a network represented by a regular tree…

Information Theory · Computer Science 2019-01-23 Tetsunao Matsuta , Tomohiko Uyematsu

Rumour is a collective emergent phenomenon with a potential for provoking a crisis. Modelling approaches have been deployed since five decades ago; however, the focus was mostly on epidemic behaviour of the rumours which does not take into…

Multiagent Systems · Computer Science 2019-04-11 Amir Ebrahimi Fard , Rijk Mercuur , Virginia Dignum , Catholijn M. Jonker , Bartel van de Walle

We study the spread of a persuasive new idea through a population of continuous-time random walkers in one dimension. The idea spreads via social gatherings involving groups of nearby walkers who act according to a biased "majority rule":…

Adaptation and Self-Organizing Systems · Physics 2017-01-09 James Burridge , Michal Gnacik

Social media have become part of modern news reporting, used by journalists to spread information and find sources, or as a news source by individuals. The quest for prominence and recognition on social media sites like Twitter can…

Social and Information Networks · Computer Science 2014-11-14 Samantha Finn , Panagiotis Takis Metaxas , Eni Mustafaraj

Consider stochastic models for the spread of an infection in a structured community, where this structured community is itself described by a random network model. Some common network models and transmission models are defined and large…

Populations and Evolution · Quantitative Biology 2019-08-16 Tom Britton

In this work, the spread of a contagious disease on a society where the individuals may take precautions is modeled. The primary assumption is that the infected individuals transmit the infection to the susceptible members of the community…

Physics and Society · Physics 2021-03-16 Semra Gunduc

How an information spreads throughout a social network is a valuable knowledge sought by many groups such as marketing enterprises and political parties. If they can somehow predict the impact of a given message or manipulate it in order to…

Social and Information Networks · Computer Science 2015-10-07 Fabricio Olivetti de Franca , Denise Hideko Goya , Claudio Luis de Camargo Penteado

For a rumour spreading protocol, the spread time is defined as the first time that everyone learns the rumour. We compare the synchronous push&pull rumour spreading protocol with its asynchronous variant, and show that for any $n$-vertex…

Probability · Mathematics 2020-04-01 Omer Angel , Abbas Mehrabian , Yuval Peres

The rapid spread of rumors in social media is mainly caused by individual retweets. This paper applies uncertainty time series analysis (UTSA) to analyze a rumor retweeting behavior on Weibo. First, the rumor forwarding is modeled using…

Social and Information Networks · Computer Science 2024-05-16 Ruihong Wang , Fengming Liu
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