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We study the problem of disseminating a piece of information through all the nodes of a network, given that it is known originally only to a single node. In the absence of any structural knowledge on the network other than the nodes'…

Networking and Internet Architecture · Computer Science 2007-06-13 A. O. Stauffer , V. C. Barbosa

The spread of rumors through social media and online social networks can not only disrupt the daily lives of citizens but also result in loss of life and property. A rumor spreads when individuals, who are unable decide the authenticity of…

Physics and Society · Physics 2014-04-29 Bhushan Kotnis , Joy Kuri

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

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 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

Social media communications are becoming increasingly prevalent; some useful, some false, whether unwittingly or maliciously. An increasing number of rumours daily flood the social networks. Determining their veracity in an autonomous way…

Social and Information Networks · Computer Science 2019-02-11 Georgios Giasemidis , Nikolaos Kaplis , Ioannis Agrafiotis , Jason R. C. Nurse

This paper examines the quasi-stationary behavior of stochastic rumor processes. Using the results by van Doorn and Pollett (2008), we first prove that the continuous-time Maki--Thompson model has a unique quasi-stationary distribution…

Probability · Mathematics 2025-12-01 Iddo Ben-Ari , Elcio Lebensztayn , Lucas Sousa Santos

We study the relation between the performance of the randomized rumor spreading (push model) in a d-regular graph G and the performance of the same algorithm in the percolated graph G_p. We show that if the push model successfully broadcast…

Probability · Mathematics 2011-10-06 Roberto I. Oliveira , Alan Prata

We consider a network of $n$ user nodes that receives updates from a source and employs an age-based gossip protocol for faster dissemination of version updates to all nodes. When a node forwards its packet to another node, the packet…

Information Theory · Computer Science 2023-05-09 Priyanka Kaswan , Sennur Ulukus

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

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

Information dissemination is a fundamental problem in parallel and distributed computing. In its simplest variant, the broadcasting problem, a message has to be spread among all nodes of a graph. A prominent communication protocol for this…

Data Structures and Algorithms · Computer Science 2014-12-10 Robert Elsässer , Dominik Kaaser

An important problem of reconstruction of diffusion network and transmission probabilities from the data has attracted a considerable attention in the past several years. A number of recent papers introduced efficient algorithms for the…

Physics and Society · Physics 2015-09-24 Andrey Y. Lokhov , Theodor Misiakiewicz

Gossip algorithms for distributed computation are attractive due to their simplicity, distributed nature, and robustness in noisy and uncertain environments. However, using standard gossip algorithms can lead to a significant waste in…

Information Theory · Computer Science 2009-11-13 Alexandros G. Dimakis , Anand D. Sarwate , Martin J. Wainwright

Inspired by many examples in nature, stochastic resetting of random processes has been studied extensively in the past decade. In particular, various models of stochastic particle motion were considered where upon resetting the particle is…

Statistical Mechanics · Physics 2022-11-23 Ofir Tal-Friedman , Yael Roichman , Shlomi Reuveni

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

Broadcasting algorithms are of fundamental importance for distributed systems engineering. In this paper we revisit the classical and well-studied push protocol for message broadcasting. Assuming that initially only one node has some piece…

Combinatorics · Mathematics 2009-05-01 Nikolaos Fountoulakis , Anna Huber , Konstantinos Panagiotou

This paper addresses a distributed nonconvex optimization problem over multi-agent networks, where each agent exchanges its local information solely with its neighbors. Given that most existing distributed nonconvex optimization algorithms…

Optimization and Control · Mathematics 2026-02-27 Zichong Ou , Jie Lu

We study gossip algorithms for the rumor spreading problem which asks one node to deliver a rumor to all nodes in an unknown network. We present the first protocol for any expander graph $G$ with $n$ nodes such that, the protocol informs…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-14 Zeyu Guo , He Sun

In the advent of large-scale multi-hop wireless technologies, such as MANET, VANET, iThings, it is of utmost importance to devise efficient distributed protocols to maintain network architecture and provide basic communication tools. One of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-02-19 Tomasz Jurdzinski , Dariusz R. Kowalski , Tomasz Maciejewski , Grzegorz Stachowiak