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We introduce a model for information spreading among a population of N agents diffusing on a square LxL lattice, starting from an informed agent (Source). Information passing from informed to unaware agents occurs whenever the relative…

Statistical Mechanics · Physics 2009-11-11 E. Agliari , R. Burioni , D. Cassi , F. M. Neri

Push-Pull is a well-studied round-robin rumor spreading protocol defined as follows: initially a node knows a rumor and wants to spread it to all nodes in a network quickly. In each round, every informed node sends the rumor to a random…

Social and Information Networks · Computer Science 2014-10-31 Abbas Mehrabian , Ali Pourmiri

We study the dynamics of an epidemic-like model for the spread of a rumor on a small-world network. It has been shown that this model exhibits a transition between regimes of localization and propagation at a finite value of the network…

Statistical Mechanics · Physics 2009-11-07 Damian H. Zanette

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

We derive the mean-field equations characterizing the dynamics of a rumor process that takes place on top of complex heterogeneous networks. These equations are solved numerically by means of a stochastic approach. First, we present…

Statistical Mechanics · Physics 2009-11-10 Yamir Moreno , Maziar Nekovee , Amalio. F. Pacheco

We derive mean-field equations that describe the dynamics of a general model of rumor spreading on complex networks, and use analytical and numerical solutions of these equations to examine the threshold behavior and dynamics of the model…

Physics and Society · Physics 2007-05-23 Maziar Nekovee , Yamir Moreno , Ginestra Bianconi , Matteo Marsili

The influence of node mobility on the convergence time of averaging gossip algorithms in networks is studied. It is shown that a small number of fully mobile nodes can yield a significant decrease in convergence time. A method is developed…

Networking and Internet Architecture · Computer Science 2011-06-22 Anand D. Sarwate , Alexandros G. Dimakis

Recent research [1] has suggested that coreness, and not degree, constitutes a better topological descriptor to identifying influential spreaders in complex networks. This hypothesis has been verified in the context of disease spreading.…

Physics and Society · Physics 2015-06-03 Javier Borge-Holthoefer , Yamir Moreno

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

We consider a network consisting of $n$ nodes connected in a ring formation and a source that generates updates according to a renewal process and disseminates them to the ring network according to a Poisson process. The nodes in the…

Information Theory · Computer Science 2026-05-07 Arunabh Srivastava , Sennur Ulukus

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

In the last years, the study of rumor spreading on social networks produced a lot of interest among the scientific community, expecially due to the role of social networks in the last political events. The goal of this work is to reproduce…

Multiagent Systems · Computer Science 2018-05-18 Mattia Mazzoli , Tullio Re , Roberto Bertilone , Marco Maggiora , Jacopo Pellegrino

Critical thinking and skepticism are fundamental mechanisms that one may use to prevent the spreading of rumors, fake-news and misinformation. We consider a simple model in which agents without previous contact with the rumor, being…

Physics and Society · Physics 2020-07-01 Marco Antonio Amaral , W. G. Dantas , Jeferson J. Arenzon

We study a multi-call variant of the classic PUSH&PULL rumor spreading process where nodes can contact $k$ of their neighbors instead of a single one during both PUSH and PULL operations. We show that rumor spreading can be made faster at…

Data Structures and Algorithms · Computer Science 2025-10-23 Emilio Cruciani , Sebastian Forster , Tijn de Vos

Broadcasting algorithms are important building blocks of distributed systems. In this work we investigate the typical performance of the classical and well-studied push model. Assume that initially one node in a given network holds some…

Combinatorics · Mathematics 2010-02-19 Nikolaos Fountoulakis , Konstantinos Panagiotou

We study networks of gossiping users where a source observing a process sends updates to an underlying graph. Nodes in the graph update their neighbors randomly and nodes always accept packets that have newer information, thus attempting to…

Information Theory · Computer Science 2025-01-23 Thomas Jacob Maranzatto , Arunabh Srivastava , Sennur Ulukus

$O(\log n)$ rounds has been a well known upper bound for rumor spreading using push&pull in the random phone call model (i.e., uniform gossip in the complete graph). A matching lower bound of $\Omega(\log n)$ is also known for this special…

Data Structures and Algorithms · Computer Science 2015-12-10 Chen Avin , Robert Elsässer

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

We show that a simple model for the propagation of a rumor on a small-world network exhibits critical behavior at a finite randomness of the underlying graph. The transition occurs between a regime where the rumor "dies" in a small…

Statistical Mechanics · Physics 2007-05-23 Damian H. Zanette

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