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Related papers: Rumor Spreading on Percolation Graphs

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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

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

The burst in the use of online social networks over the last decade has provided evidence that current rumor spreading models miss some fundamental ingredients in order to reproduce how information is disseminated. In particular, recent…

Physics and Society · Physics 2013-04-02 Javier Borge-Holthoefer , Sandro Meloni , Bruno Gonçalves , Yamir Moreno

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

Social media has been developing rapidly in public due to its nature of spreading new information, which leads to rumors being circulated. Meanwhile, detecting rumors from such massive information in social media is becoming an arduous…

Social and Information Networks · Computer Science 2020-01-20 Tian Bian , Xi Xiao , Tingyang Xu , Peilin Zhao , Wenbing Huang , Yu Rong , Junzhou Huang

This paper presents a system of differential equations that describes the spreading of a rumor when it is propagated by different subgroups of spreaders. The system that is developed is a generalization of the model proposed by Daley and…

Physics and Society · Physics 2016-07-21 Raul Isea , Rafael Mayo-Garcia

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

Gossip algorithms have recently received significant attention, mainly because they constitute simple and robust message-passing schemes for distributed information processing over networks. However for many topologies that are realistic…

Information Theory · Computer Science 2008-02-20 F. Benezit , A. G. Dimakis , P. Thiran , M. Vetterli

The paper is devoted to the spreading of a message within the random graph evolving by the Norros-Reittu preferential attachment model. The latter model forms random Poissonian numbers of edges between newly added nodes and existing ones.…

Statistics Theory · Mathematics 2025-05-16 N. M. Markovich , D. V. Osipov

Graphs are now ubiquitous in almost every field of research. Recently, new research areas devoted to the analysis of graphs and data associated to their vertices have emerged. Focusing on dynamical processes, we propose a fast, robust and…

Social and Information Networks · Computer Science 2016-02-02 Kirell Benzi , Benjamin Ricaud , Pierre Vandergheynst

Percolation theory has been largely used in the study of structural properties of complex networks such as the robustness, with remarkable results. Nevertheless, a purely topological description is not sufficient for a correct…

Statistical Mechanics · Physics 2016-08-31 Luca Dall'Asta

In this paper, we study random gossip processes in communication models that describe the peer-to-peer networking functionality included in standard smartphone operating systems. Random gossip processes spread information through the basic…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-08 Calvin Newport , Alex Weaver

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

We introduce the generalized rumor spreading model and investigate some properties of this model on different complex social networks. Despite pervious rumor models that both the spreader-spreader ($SS$) and the spreader-stifler ($SR$)…

Physics and Society · Physics 2013-03-26 Yaghoob Naimi , Mohammad Naimi

We study the two most common types of percolation process on a sparse random graph with a given degree sequence. Namely, we examine first a bond percolation process where the edges of the graph are retained with probability p and afterwards…

Combinatorics · Mathematics 2007-05-23 Nikolaos Fountoulakis

Let $X$ be either $Z^d$ or the points of a Poisson process in $R^d$ of intensity 1. Given parameters $r$ and $p$, join each pair of points of $X$ within distance $r$ independently with probability $p$. This is the simplest case of a…

Probability · Mathematics 2009-05-08 Bela Bollobas , Svante Janson , Oliver Riordan

We study rumor spreading in dynamic random graphs. Starting with a single informed vertex, the information flows until it reaches all the vertices of the graph (completion), according to the following process. At each step $k$, the…

Data Structures and Algorithms · Computer Science 2025-06-06 Vicenzo Bonasorte

We study a rumor spreading model where individuals are connected via a network structure. Initially, only a small subset of the individuals are spreading a rumor. Each individual who is connected to a spreader, starts spreading the rumor…

Social and Information Networks · Computer Science 2023-05-16 Ahad N. Zehmakan , Charlotte Out , Sajjad Hesamipour Khelejan

We study a discrete-time model for the spread of information in a graph, motivated by the idea that people believe a story when they learn of it from two different origins. Similar to the burning number, in this problem, information spreads…

Combinatorics · Mathematics 2024-11-14 C. B. Jacobs , M. E. Messinger , A. N. Trenk

Efficient and robust algorithms for decentralized estimation in networks are essential to many distributed systems. Whereas distributed estimation of sample mean statistics has been the subject of a good deal of attention, computation of…

Machine Learning · Statistics 2019-01-25 Igor Colin , Aurélien Bellet , Joseph Salmon , Stéphan Clémençon