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Related papers: Gossip in random networks

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The gossip problem, in which information (known as secrets) must be shared among a certain number of agents using the minimum number of calls, is of interest in the conception of communication networks and protocols. We extend the gossip…

Artificial Intelligence · Computer Science 2016-06-15 Martin C. Cooper , Andreas Herzig , Faustine Maffre , Frédéric Maris , Pierre Régnier

A social (sexual) network is modeled by an extension of the configuration model to the situation where edges have weights, e.g. reflecting the number of sex-contacts between the individuals. An epidemic model is defined on the network such…

Probability · Mathematics 2011-12-21 Tom Britton , David Lindenstrand

We are interested in the spread of an epidemic between two communities that have higher connectivity within than between them. We model the two communities as independent Erdos-Renyi random graphs, each with n vertices and edge probability…

Probability · Mathematics 2012-10-15 David Sivakoff

The value of a social network is generally determined by its size and the connectivity of its nodes. But since some of the nodes may be fake ones and others that are dormant, the question of validating the node counts by statistical tests…

Social and Information Networks · Computer Science 2015-06-11 Sieteng Soh , Gongqi Lin , Subhash Kak

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

Mobile networks receive increasing research interest recently due to their increasingly wide applications in various areas; mobile ad hoc networks (MANET) and Vehicular ad hoc networks (VANET) are two prominent examples. Mobility introduces…

Social and Information Networks · Computer Science 2014-02-27 Huazi Zhang , Zhaoyang Zhang , Huaiyu Dai

In this paper, we consider a random network such that there could be a link between any two nodes in the network with a certain probability (plink). Diffusion is the phenomenon of spreading information throughout the network, starting from…

Social and Information Networks · Computer Science 2015-11-23 Natarajan Meghanathan

We empirically analyze two versions of the well-known "randomized rumor spreading" protocol to disseminate a piece of information in networks. In the classical model, in each round each informed node informs a random neighbor. In the…

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

Consider a network of nodes where each node has a message to communicate to all other nodes. For this communication problem, we analyze a gossip based protocol where coded messages are exchanged. This problem was studied by Aoyama and Shah…

Information Theory · Computer Science 2011-12-16 Dinkar Vasudevan , Shrinivas Kudekar

The propagation of rumours on social media poses an important threat to societies, so that various techniques for rumour detection have been proposed recently. Yet, existing work focuses on \emph{what} entities constitute a rumour, but…

Social and Information Networks · Computer Science 2022-07-19 Thanh Tam Nguyen , Thanh Cong Phan , Minh Hieu Nguyen , Matthias Weidlich , Hongzhi Yin , Jun Jo , Quoc Viet Hung Nguyen

We formalize the problem of detecting a community in a network into testing whether in a given (random) graph there is a subgraph that is unusually dense. We observe an undirected and unweighted graph on N nodes. Under the null hypothesis,…

Statistics Theory · Mathematics 2013-03-01 Ery Arias-Castro , Nicolas Verzelen

The ability to share social network data at the level of individual connections is beneficial to science: not only for reproducing results, but also for researchers who may wish to use it for purposes not foreseen by the data releaser.…

Social and Information Networks · Computer Science 2020-09-22 Daniele Romanini , Sune Lehmann , Mikko Kivelä

We study a model for a statistical network formed by interactions between its nodes and links. Each node can be in one of two states (Ising spin up or down) and the node-link interaction facilitates linking between the like nodes. For high…

Statistical Mechanics · Physics 2009-11-11 A. E. Allahverdyan , K. G. Petrosyan

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

Recent years have seen various rumor diffusion models being assumed in detection of rumor source research of the online social network. Diffusion model is arguably considered as a very important and challengeable factor for source detection…

Social and Information Networks · Computer Science 2026-02-24 Rong Jin , Weili Wu

Empirical results show that spatial factors such as distance, population density and communication range affect our social activities, also reflected by the development of ties in social networks. This motivates the need for social network…

Physics and Society · Physics 2020-03-04 Dong Liu , Viktoria Fodor , Lars K. Rasmussen

We consider two variants of the classical gossip algorithm. The first variant is a version of asynchronous stochastic approximation. We highlight a fundamental difficulty associated with the classical asynchronous gossip scheme, viz., that…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-17 Vivek S. Borkar , Rahul Makhijani , Rajesh Sundaresan

Network analysis has become an increasingly prevalent research tool across a vast range of scientific fields. Here, we focus on the particular issue of comparing network statistics, i.e. graph-level measures of network structural features,…

Methodology · Statistics 2016-03-07 Anna Smith , Catherine A. Calder , Christopher R. Browning

Social network is a main tunnel of rumor spreading. Previous studies are concentrated on a static rumor spreading. The content of the rumor is invariable during the whole spreading process. Indeed, the rumor evolves constantly in its…

Physics and Society · Physics 2013-03-01 Yichao Zhang , Shi Zhou , Jihong Guan , Shuigeng Zhou

Broadcasting and gossiping are fundamental communication tasks in networks. In broadcasting,one node of a network has a message that must be learned by all other nodes. In gossiping, every node has a (possibly different) message, and all…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-22 Kokouvi Hounkanli , Andrzej Pelc