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Related papers: Quasirandom Rumor Spreading

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We consider the so-called Independent Cascade Model for rumor spreading or epidemic processes popularized by Kempe et al.\ [2003]. In this model, a small subset of nodes from a network are the source of a rumor. In discrete time steps, each…

Social and Information Networks · Computer Science 2022-05-25 Petra Berenbrink , Max Hahn-Klimroth , Dominik Kaaser , Lena Krieg , Malin Rau

The aim of this paper is to study rumor processes in random environment. In a rumor process a signal starts from the stations of a fixed vertex (the root) and travels on a graph from vertex to vertex. We consider two rumor processes. In the…

Probability · Mathematics 2015-06-16 Daniela Bertacchi , Fabio Zucca

We study the phenomenon of information propagation on mobile geometric scale-free random graphs, where vertices instantaneously pass on information to all other vertices in the same connected component. The graphs we consider are…

Probability · Mathematics 2024-04-24 Peter Gracar , Arne Grauer

A novel hierarchical model of complex network is proposed, and information propagation process taking place on top of the network is investigated. Our model is demonstrated to have small world property. We found that the frequency…

Dynamical Systems · Mathematics 2007-05-23 Feng Fu , Lianghuan Liu , Long Wang

Graph burning is a simple model for the spread of social influence in networks. The objective is to measure how quickly a fire (e.g., a piece of fake news) can be spread in a network. The burning process takes place in discrete rounds. In…

Combinatorics · Mathematics 2019-09-05 Shahin Kamali , Avery Miller , Kenny Zhang

Numerous approaches study the vulnerability of networks against social contagion. Graph burning studies how fast a contagion, modeled as a set of fires, spreads in a graph. The burning process takes place in synchronous, discrete rounds. In…

Combinatorics · Mathematics 2019-04-08 Anthony Bonato , Shahin Kamali

We consider the problem of determining the proportion of edges that are discovered in an Erdos-Renyi graph when one constructs all shortest paths from a given source node to all other nodes. This problem is equivalent to the one of…

Statistical Mechanics · Physics 2009-11-13 Vincent D. Blondel , Jean-Loup Guillaume , Julien M. Hendrickx , Raphael M. Jungers

We study a model for the spread of fake news, where first a piece of fake news is spread from a location in a network, followed by a correction to the news. We assume that both the fake as well as correct news travel as first-passage…

Probability · Mathematics 2023-04-21 Remco van der Hofstad , Seva Shneer

We study a rumour model from a percolation theory and branching process point of view. The existence of a giant component is related to the event where the rumour, which started from the root of a tree, spreads out through an infinite…

Probability · Mathematics 2016-11-11 Valdivino Vargas Junior , Fábio Prates Machado , Krishnamurthi Ravishankar

Traditional methods for detecting rumors on social media primarily focus on analyzing textual content, often struggling to capture the complexity of online interactions. Recent research has shifted towards leveraging graph neural networks…

Social and Information Networks · Computer Science 2024-12-13 Xingyu Peng , Junran Wu , Ruomei Liu , Ke Xu

Aldous [(2007) Preprint] defined a gossip process in which space is a discrete $N\times N$ torus, and the state of the process at time $t$ is the set of individuals who know the information. Information spreads from a site to its nearest…

Probability · Mathematics 2012-03-05 Shirshendu Chatterjee , Rick Durrett

We address routing of classical and quantum information over quantum network, and show how to exploit chirality to achieve nearly optimal and robust transport. In particular, we prove how continuous time chiral quantum walks over a minimal…

Quantum Physics · Physics 2025-02-18 Alberto Bottarelli , Massimo Frigerio , Matteo G. A. Paris

Complex systems, ranging from soft materials to wireless communication, are often organised as random geometric networks in which nodes and edges evenly fill up the volume of some space. Studying such networks is difficult because they…

Probability · Mathematics 2022-07-19 Ivan Kryven , Rik Versendaal

The spread of rumors along with breaking events seriously hinders the truth in the era of social media. Previous studies reveal that due to the lack of annotated resources, rumors presented in minority languages are hard to be detected.…

Computation and Language · Computer Science 2023-05-29 Hongzhan Lin , Pengyao Yi , Jing Ma , Haiyun Jiang , Ziyang Luo , Shuming Shi , Ruifang Liu

Warning Propagation is a combinatorial message passing algorithm that unifies and generalises a wide variety of recursive combinatorial procedures. Special cases include the Unit Clause Propagation and Pure Literal algorithms for…

Combinatorics · Mathematics 2025-08-28 Amin Coja-Oghlan , Oliver Cooley , Mihyun Kang , Joon Lee , Jean B. Ravelomanana

We report numerical evidence that an epidemic-like model, which can be interpreted as the propagation of a rumor, exhibits critical behavior at a finite randomness of the underlying small-world network. The transition occurs between a…

Statistical Mechanics · Physics 2009-11-07 Damian H. Zanette

We study information gathering in ad-hoc radio networks. Initially, each node of the network has a piece of information called a rumor, and the overall objective is to gather all these rumors in the designated target node. The ad-hoc…

Data Structures and Algorithms · Computer Science 2015-12-08 Marek Chrobak , Kevin P. Costello

This paper investigates the problem of distributed network-wide averaging and proposes a new greedy gossip algorithm. Instead of finding the optimal path of each node in a greedy manner, the proposed approach utilises a suboptimal…

Systems and Control · Computer Science 2019-08-20 Hyo-Sang Shin , Shaoming He , Antonios Tsourdos

This paper revisits the study of (minimum) broadcast graphs, i.e., graphs enabling fast information dissemination from every source node to all the other nodes (and having minimum number of edges for this property). This study is performed…

Data Structures and Algorithms · Computer Science 2025-03-07 Pierre Fraigniaud , Hovhannes A. Harutyunyan

In this paper, we propose a distributed algorithm for the minimum dominating set problem. For some especial networks, we prove theoretically that the achieved answer by our proposed algorithm is a constant approximation factor of the exact…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-05 Sharareh Alipour , Ehsan Futuhi , Shayan Karimi
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