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The asynchronous push&pull protocol, a randomized distributed algorithm for spreading a rumour in a graph $G$, works as follows. Independent Poisson clocks of rate 1 are associated with the vertices of $G$. Initially, one vertex of $G$…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-17 Huseyin Acan , Andrea Collevecchio , Abbas Mehrabian , Nick Wormald

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

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 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

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 this paper, we present an experimental analysis of the asynchronous push & pull rumour spreading protocol. This protocol is, to date, the best-performing rumour spreading protocol for simple, scalable, and robust information…

Social and Information Networks · Computer Science 2015-01-16 Christos Patsonakis , Mema Roussopoulos

Dynamical processes taking place on networks have received much attention in recent years, especially on various models of random graphs (including small world and scale free networks). They model a variety of phenomena, including the…

Probability · Mathematics 2007-05-23 Jonathan Rowe , Boris Mitavskiy

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 study gossip algorithms for the fundamental rumor spreading problem, where the goal is to disseminate a rumor from a given source node to all nodes in an arbitrary (and unknown) graph. Gossip algorithms allow each node to call only one…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-15 Fabien Dufoulon , William K. Moses , Gopal Pandurangan

We propose a new protocol solving the fundamental problem of disseminating a piece of information to all members of a group of n players. It builds upon the classical randomized rumor spreading protocol and several extensions. The main…

Data Structures and Algorithms · Computer Science 2015-03-17 Benjamin Doerr , Mahmoud Fouz

This paper focuses on non-asymptotic diffusion time in asynchronous gossip protocols. Asynchronous gossip protocols are designed to perform distributed computation in a network of nodes by randomly exchanging messages on the associated…

Machine Learning · Statistics 2021-11-22 David Picard , Jérôme Fellus , Stéphane Garnier

The randomized rumor spreading problem generates a big interest in the area of distributed algorithms due to its simplicity, robustness and wide range of applications. The two most popular communication paradigms used for spreading the…

Social and Information Networks · Computer Science 2019-01-01 Dariusz R. Kowalski , Christopher Thraves Caro

We introduce a general stochastic model for the spread of rumours, and derive mean-field equations that describe the dynamics of the model on complex social networks (in particular those mediated by the Internet). We use analytical and…

Physics and Society · Physics 2009-11-13 Maziar Nekovee , Y. Moreno , G. Bianconi , M. Marsili

We study a combinatorial model of the spread of influence in networks that generalizes existing schemata recently proposed in the literature. In our model, agents change behaviors/opinions on the basis of information collected from their…

Data Structures and Algorithms · Computer Science 2013-11-21 Luisa Gargano , Pavol Hell , Joseph G. Peters , Ugo Vaccaro

This paper presents greedy gossip with eavesdropping (GGE), a novel randomized gossip algorithm for distributed computation of the average consensus problem. In gossip algorithms, nodes in the network randomly communicate with their…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-14 Deniz Ustebay , Boris Oreshkin , Mark Coates , Michael Rabbat

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

We develop a simple and generic method to analyze randomized rumor spreading processes in fully connected networks. In contrast to all previous works, which heavily exploit the precise definition of the process under investigation, we only…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-21 Benjamin Doerr , Anatolii Kostrygin

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

Distributed averaging is among the most relevant cooperative control problems, with applications in sensor and robotic networks, distributed signal processing, data fusion, and load balancing. Consensus and gossip algorithms have been…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Christel Sirocchi , Alessandro Bogliolo

We study the popular randomized rumour spreading protocol Push. Initially, a node in a graph possesses some information, which is then spread in a round based manner. In each round, each informed node chooses uniformly at random one of its…

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