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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

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

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 propose and analyze a quasirandom analogue of the classical push model for disseminating information in networks ("randomized rumor spreading"). In the classical model, in each round each informed vertex chooses a neighbor at random and…

Data Structures and Algorithms · Computer Science 2015-03-17 Benjamin Doerr , Tobias Friedrich , Thomas Sauerwald

$O(\log n)$ 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

We study the randomized rumor spreading algorithm \emph{pull} on complete graphs with $n$ vertices. Starting with one informed vertex and proceeding in rounds, each vertex yet uninformed connects to a neighbor chosen uniformly at random and…

Probability · Mathematics 2021-10-19 Konstantinos Panagiotou , Simon Reisser

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

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 consider the problem of reliable epidemic dissemination of a rumor in a fully connected network of~$n$ processes using push and pull operations. We revisit the random phone call model and show that it is possible to disseminate a rumor…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-04 Hugues Mercier , Laurent Hayez , Miguel Matos

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 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

Randomized rumor spreading processes diffuse information on an undirected graph and have been widely studied. In this work, we present a generic framework for analyzing a broad class of such processes on regular graphs. Our analysis is…

Discrete Mathematics · Computer Science 2023-11-29 Charlotte Out , Nicolás Rivera , Thomas Sauerwald , John Sylvester

The Push, the Pull and the Push&Pull algorithms are well-studied rumor spreading protocols. In all three, in the beginning one node of a graph is informed. In the Push setting, every round every informed node chooses a neighbor uniformly at…

Data Structures and Algorithms · Computer Science 2018-02-06 Rami Daknama

We give a time-randomness tradeoff for the quasi-random rumor spreading protocol proposed by Doerr, Friedrich and Sauerwald [SODA 2008] on complete graphs. In this protocol, the goal is to spread a piece of information originating from one…

Data Structures and Algorithms · Computer Science 2010-08-04 Benjamin Doerr , Mahmoud Fouz

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

In the classic gossip-based model of communication for disseminating information in a network, in each time unit, every node $u$ is allowed to contact a single random neighbor $v$. If $u$ knows the data (rumor) to be disseminated, it…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-24 Sebastian Daum , Fabian Kuhn , Yannic Maus

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 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 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 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
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