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We study the classical rumor spreading problem, which is used to spread information in an unknown network with $n$ nodes. We present the first protocol for any expander graph $G$ with $n$ nodes and minimum degree $\Theta(n)$ such that, the…

Data Structures and Algorithms · Computer Science 2013-11-13 Zeyu Guo , He Sun

In this paper we study the time delays affecting the diffusion of information in an underwater heterogeneous robot swarm, considering a time-sensitive environment. In many situations each member of the swarm must update its knowledge about…

Robotics · Computer Science 2013-08-21 Enzo Fioriti , Stefano Chiesa , Fabio Fratichini

Recent advances on human dynamics have focused on the normal patterns of human activities, with the quantitative understanding of human behavior under extreme events remaining a crucial missing chapter. This has a wide array of potential…

Physics and Society · Physics 2014-06-27 Liang Gao , Chaoming Song , Ziyou Gao , Albert-László Barabási , James P. Bagrow , Dashun Wang

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 2010-08-13 Dmitry Zinoviev , Vy Duong

We consider a two-dimensional time-inhomogeneous birth-death process to model the time-evolution of fake news in a population. The two components of the process represent, respectively, (i) the number of individuals (say spreaders) who know…

Probability · Mathematics 2024-05-13 Antonio Di Crescenzo , Paola Paraggio

Rumors are rampant in the era of social media. Conversation structures provide valuable clues to differentiate between real and fake claims. However, existing rumor detection methods are either limited to the strict relation of user…

Computation and Language · Computer Science 2021-11-16 Hongzhan Lin , Jing Ma , Mingfei Cheng , Zhiwei Yang , Liangliang Chen , Guang Chen

The infection times of individuals in online information spread such as the inter-arrival time of Twitter messages or the propagation time of news stories on a social media site can be explained through a convolution of lognormally…

Physics and Society · Physics 2013-05-23 Christian Doerr , Norbert Blenn , Piet Van Mieghem

In this study, we looked at the effect of promotion in the speed and width of spread of information on the Internet by tracking the diffusion of news articles over a social network. Speed of spread means the number of readers that the news…

Social and Information Networks · Computer Science 2015-07-24 Abigail C. Salvania , Jaderick P. Pabico

Spread of information in crowd is analysed in terms of directed percolation in two-dimensional spatial network. We investigate the case when the information transmitted can be incomplete or damaged. The results indicate that for small or…

Physics and Society · Physics 2011-04-26 Krzysztof Malarz , Vikas Chandra , Eve Mitleton-Kelly , Krzysztof Kulakowski

We consider message and time efficient broadcasting and multi-broadcasting in wireless ad-hoc networks, where a subset of nodes, each with a unique rumor, wish to broadcast their rumors to all destinations while minimizing the total number…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-21 Liron Levin , Dariusz R. Kowalski , Michael Segal

Given a network of fixed size $n$ and an initial distribution of data, we derive sufficient connectivity conditions on a sequence of time-varying digraphs for (a) data collection and (b) data dissemination, within at most $(n-1)$…

Systems and Control · Computer Science 2016-05-03 Kevin Topley

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

Consider the following broadcasting process run on a connected graph $G=(V,E)$. Suppose that $k \ge 2$ agents start on vertices selected from $V$ uniformly and independently at random. One of the agents has a message that she wants to…

Social and Information Networks · Computer Science 2020-03-20 Reaz Huq , Bogumil Kaminski , Atefeh Mashatan , Pawel Pralat , Przemyslaw Szufel

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

Anti-rumor dynamics is proposed on the basis of rumor dynamics and the characteristics of anti-rumor dynamics are explored by both mean-field equations and numerical simulations on complex network. The main metrics we study are the timing…

Physics and Society · Physics 2014-07-01 Kaihua Ji , Jiawei Liu , Gang Xiang

We study the problem of randomized information dissemination in networks. We compare the now standard PUSH-PULL protocol, with agent-based alternatives where information is disseminated by a collection of agents performing independent…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-04 George Giakkoupis , Frederik Mallmann-Trenn , Hayk Saribekyan

We propose a rumor propagation model in which individuals within a homogeneously mixed population can assume one of infinitely many possible states. To analyze this model, we extend the classical law of large numbers for density-dependent…

Probability · Mathematics 2025-08-12 Cristian F. Coletti , Denis A. Luiz , Alejandra Rada

We propose consensus propagation, an asynchronous distributed protocol for averaging numbers across a network. We establish convergence, characterize the convergence rate for regular graphs, and demonstrate that the protocol exhibits better…

Information Theory · Computer Science 2007-07-13 Ciamac C. Moallemi , Benjamin Van Roy

We propose a realistic generalization of the Maki-Thompson rumour model by assuming that each spreader ceases to propagate the rumour right after being involved in a random number of stifling experiences. We consider the process with a…

Probability · Mathematics 2010-11-12 Elcio Lebensztayn , Fábio P. Machado , Pablo M. Rodríguez

Many processes of spreading and diffusion take place on temporal networks, and their outcomes are influenced by correlations in the times of contact. These correlations have a particularly strong influence on processes where the spreading…

Physics and Society · Physics 2017-09-19 Mikko Kivelä , Jordan Cambe , Jari Saramäki , Márton Karsai