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We study push-pull rumour spreading in ultra-small-world models for social networks where the degrees follow a power-law distribution. In a non-geometric setting, Fountoulakis, Panagiotou and Sauerwald have shown that rumours always spread…

The rapid spread of information and rumors through social media platforms, especially in group settings, motivates the need for more sophisticated models of rumor propagation. Traditional pairwise models do not account for group…

Physics and Society · Physics 2025-04-29 Kleber A. Oliveira , Pietro Traversa , Guilherme Ferraz de Arruda , Yamir Moreno

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 revisit the classic problem of spreading a piece of information in a group of $n$ fully connected processors. By suitably adding a small dose of randomness to the protocol of Gasienic and Pelc (1996), we derive for the first time…

Data Structures and Algorithms · Computer Science 2015-01-06 Benjamin Doerr , Carola Doerr , Shay Moran , Shlomo Moran

We study randomized gossip-based processes in dynamic networks that are motivated by discovery processes in large-scale distributed networks like peer-to-peer or social networks. A well-studied problem in peer-to-peer networks is the…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-02-10 Bernhard Haeupler , Gopal Pandurangan , David Peleg , Rajmohan Rajaraman , Zhifeng Sun

Biological systems can share and collectively process information to yield emergent effects, despite inherent noise in communication. While man-made systems often employ intricate structural solutions to overcome noise, the structure of…

Multiagent Systems · Computer Science 2017-12-25 Lucas Boczkowski , Ofer Feinerman , Amos Korman , Emanuele Natale

Rumour spreading is a protocol for modelling the spread of information through a network via user-to-user interaction. The Spatial Preferred Attachment (SPA) model is a random graph model for complex networks: vertices are placed in a…

Social and Information Networks · Computer Science 2016-08-08 Jeannette Janssen , Abbas Mehrabian

We consider information dissemination in a large $n$-user wireless network in which $k$ users wish to share a unique message with all other users. Each of the $n$ users only has knowledge of its own contents and state information; this…

Social and Information Networks · Computer Science 2015-01-06 Yuxin Chen , Sanjay Shakkottai , Jeffrey G. Andrews

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

In a recent work, Doerr and Fouz [\emph{Asymptotically Optimal Randomized Rumor Spreading}, in ArXiv] present a new quasi-random PUSH algorithm for the rumor spreading problem (also known as gossip spreading or message propagation problem).…

Data Structures and Algorithms · Computer Science 2015-03-19 Carola Winzen

We consider the classical push broadcast process on a large class of sparse random multigraphs that includes random power law graphs and multigraphs. Our analysis shows that for every $\varepsilon>0$, whp $O(\log n)$ rounds are sufficient…

Combinatorics · Mathematics 2014-08-28 Meier Florian , Peter Ueli

Gossip and in particular network coded algebraic gossip have recently attracted attention as a fast, bandwidth-efficient, reliable and distributed way to broadcast or multicast multiple messages. While the algorithms are simple, involved…

Data Structures and Algorithms · Computer Science 2012-06-01 Bernhard Haeupler

In this paper, we study the question of how efficiently a collection of interconnected nodes can perform a global computation in the widely studied GOSSIP model of communication. In this model, nodes do not know the global topology of the…

Discrete Mathematics · Computer Science 2011-04-18 Keren Censor-Hillel , Bernhard Haeupler , Jonathan A. Kelner , Petar Maymounkov

We consider a rumor model in which the network is divided into three classes of agents: ignorant, spreader, and stifler. A spreader transmits the rumor to each of its ignorant neighbors at rate one, and at the same rate, it becomes a…

Physics and Society · Physics 2026-01-06 Ana C. Díaz Bacca , Pablo M. Rodriguez , Catalina M. Rúa-Alvarez

This paper initiates the study of the impact of failures on the fundamental problem of \emph{information spreading} in the Vertex-Congest model, in which in every round, each of the $n$ nodes sends the same $O(\log{n})$-bit message to all…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-07 Keren Censor-Hillel , Tariq Toukan

We consider the problem of testing small set expansion for general graphs. A graph $G$ is a $(k,\phi)$-expander if every subset of volume at most $k$ has conductance at least $\phi$. Small set expansion has recently received significant…

Data Structures and Algorithms · Computer Science 2015-01-06 Angsheng Li , Pan Peng

In earlier rumor spreading models, at each time step nodes contact all of their neighbors. In more realistic scenario it is possible that a node may contact only some of its neighbors to spread the rumor. Therefore it is must in real world…

Social and Information Networks · Computer Science 2013-04-05 Anurag Singh , Yatindra Nath Singh

This paper investigates the dissemination of multiple pieces of information in large networks where users contact each other in a random uncoordinated manner, and users upload one piece per unit time. The underlying motivation is the design…

Networking and Internet Architecture · Computer Science 2007-07-13 Sujay Sanghavi , Bruce Hajek , Laurent Massoulie

Pull voting is a classic method to reach consensus among $n$ vertices with differing opinions in a distributed network: each vertex at each step takes on the opinion of a random neighbour. This method, however, suffers from two drawbacks.…

Discrete Mathematics · Computer Science 2017-04-14 Colin Cooper , Tomasz Radzik , Nicolás Rivera , Takeharu Shiraga

We consider distributed plurality consensus in a complete graph of size $n$ with $k$ initial opinions. We design an efficient and simple protocol in the asynchronous communication model that ensures that all nodes eventually agree on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-23 Robert Elsässer , Tom Friedetzky , Dominik Kaaser , Frederik Mallmann-Trenn , Horst Trinker