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Many of today's most pressing issues require a more robust understanding of how information spreads in populations. Current models of information spread can be thought of as falling into one of two varieties: epidemiologically-inspired…

Physics and Society · Physics 2025-03-03 Sagar Kumar , Moritz Laber , Maimuna S. Majumder , Brooke Foucault Welles

We consider distributed average consensus in a wireless network with partial communication to reduce the number of transmissions in every iteration/round. Considering the broadcast nature of wireless channels, we propose a probabilistic…

Multiagent Systems · Computer Science 2023-01-30 Daniel Pérez Herrera , Zheng Chen , Erik G. Larsson

We study a simple model of information propagation in social networks, where two quantities are introduced: the spread factor, which measures the average maximal fraction of neighbors of a given node that interchange information among each…

Physics and Society · Physics 2011-03-22 Pedro G. Lind , Luciano R. da Silva , José S. Andrade , Hans J. Herrmann

We study gossip algorithms for the rumor spreading problem which asks each node to deliver a rumor to all nodes in an unknown network. Gossip algorithms allow nodes only to call one neighbor per round and have recently attracted attention…

Data Structures and Algorithms · Computer Science 2014-04-08 Bernhard Haeupler

In this paper we consider a model of spreading information in heterogeneous systems wherein we have two kinds of objects. Some of them are active and others are passive. Active objects can, if they possess information, share it with an…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-06 Jacek Cichoń , Zbigniew Goł\eobbiewski , Marcin Kardas , Marek Klonowski , Filip Zagórski

In this paper, we study the question of how efficiently a collection of interconnected nodes can perform a global computation in the widely studied GOSSIP model of communication. In this model, nodes do not know the global topology of the…

Discrete Mathematics · Computer Science 2011-04-18 Keren Censor-Hillel , Bernhard Haeupler , Jonathan A. Kelner , Petar Maymounkov

In distributed environments, such as distributed ledgers technologies and other peer-to-peer architectures, communication represents a crucial topic. The ability to efficiently disseminate contents is strongly influenced by the type of…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-15 Luca Serena , Mirko Zichichi , Gabriele D'Angelo , Stefano Ferretti

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 perform a thorough study of various characteristics of the asynchronous push-pull protocol for spreading a rumor on Erd\H{o}s-R\'enyi random graphs $G_{n,p}$, for any $p>c\ln(n)/n$ with $c>1$. In particular, we provide a simple strategy…

Physics and Society · Physics 2016-08-08 Konstantinos Panagiotou , Leo Speidel

How information spreads through a social network? Can we assume, that the information is spread only through a given social network graph? What is the correct way to compare the models of information flow? These are the basic questions we…

Social and Information Networks · Computer Science 2016-11-30 Andrzej Pacuk , Piotr Sankowski , Karol Wegrzycki , Piotr Wygocki

The spread of information has become faster and wider than ever with the advent of social network platforms. The question raised in this study is whether information dissemination in social networks is random or follows a discernible…

Social and Information Networks · Computer Science 2026-03-30 Rozhin Mohammadikian , Parsa Bigdeli , Behrouz Askari , G. Reza Jafari

Junior, Machado and Zuluaga (2011) studied a model to understand the spread of a rumour. Their model consists of individuals situated at the integer points of the line $\N$. An individual at the origin $0$ starts a rumour and passes it to…

Statistics Theory · Mathematics 2018-12-05 Farkhondeh Alsadat Sajadi , Rahul Roy

We use the linear threshold model to study the diffusion of information on a network generated by the stochastic block model. We focus our analysis on a two community structure where the initial set of informed nodes lies only in one of the…

Physics and Society · Physics 2016-09-21 Gianbiagio Curato , Fabrizio Lillo

In this paper we study two related iterative randomized algorithms for distributed computation of averages. The first one is the recently proposed Broadcast Gossip Algorithm, in which at each iteration one randomly selected node broadcasts…

Optimization and Control · Mathematics 2011-07-25 Paolo Frasca , Fabio Fagnani

We consider distributed plurality consensus in a complete graph of size $n$ with $k$ initial opinions. We design an efficient and simple protocol in the asynchronous communication model that ensures that all nodes eventually agree on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-23 Robert Elsässer , Tom Friedetzky , Dominik Kaaser , Frederik Mallmann-Trenn , Horst Trinker

Communication in a network generally takes place through a sequence of intermediate nodes connected by communication channels. In the standard theory of communication, it is assumed that the communication network is embedded in a classical…

In this paper, we study an asynchronous randomized gossip algorithm under unreliable communication. At each instance, two nodes are selected to meet with a given probability. When nodes meet, two unreliable communication links are…

Information Theory · Computer Science 2012-03-28 Guodong Shi , Mikael Johansson , Karl Henrik Johansson

In this work we consider three well-studied broadcast protocols: Push, Pull and Push&Pull. A key property of all these models, which is also an important reason for their popularity, is that they are presumed to be very robust, since they…

Combinatorics · Mathematics 2021-10-20 Rami Daknama , Konstantinos Panagiotou , Simon Reisser

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

Error-correcting codes are efficient methods for handling \emph{noisy} communication channels in the context of technological networks. However, such elaborate methods differ a lot from the unsophisticated way biological entities are…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-24 Pierre Fraigniaud , Emanuele Natale