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We study the dynamics of information (or virus) dissemination by $m$ mobile agents performing independent random walks on an $n$-node grid. We formulate our results in terms of two scenarios: broadcasting and gossiping. In the broadcasting…

Discrete Mathematics · Computer Science 2011-01-26 Alberto Pettarin , Andrea Pietracaprina , Geppino Pucci , Eli Upfal

The asynchronous rumor algorithm spreading propagates a piece of information, the so-called rumor, in a network. Starting with a single informed node, each node is associated with an exponential time clock with rate $1$ and calls a random…

Data Structures and Algorithms · Computer Science 2020-05-19 Ali Pourmiri , Bernard Mans

We consider the problem of spread of information among mobile agents on the torus. The agents are initially distributed as a Poisson point process on the torus, and move as independent simple random walks. Two agents can share information…

Discrete Mathematics · Computer Science 2019-04-02 Peter Gracar , Alexandre Stauffer

With the popularity of portable wireless devices it is important to model and predict how information or contagions spread by natural human mobility -- for understanding the spreading of deadly infectious diseases and for improving delay…

Multiagent Systems · Computer Science 2018-09-21 Aria Rezaei , Jie Gao , Jeff M. Phillips , Csaba D. Tóth

Consider the following broadcasting process run on a connected graph $G=(V,E)$. Suppose that $k \ge 2$ agents start on vertices selected from $V$ uniformly and independently at random. One of the agents has a message that she wants to…

Social and Information Networks · Computer Science 2020-03-20 Reaz Huq , Bogumil Kaminski , Atefeh Mashatan , Pawel Pralat , Przemyslaw Szufel

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

Consider the following broadcasting process run on a connected graph $G=(V,E)$. Suppose that $k \ge 2$ agents start on vertices selected from $V$ uniformly and independently at random. One of the agents has a message that she wants to…

Combinatorics · Mathematics 2022-02-28 Reaz Huq , Pawel Pralat

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 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

Dynamical processes taking place on networks have received much attention in recent years, especially on various models of random graphs (including small world and scale free networks). They model a variety of phenomena, including the…

Probability · Mathematics 2007-05-23 Jonathan Rowe , Boris Mitavskiy

We study the problem of randomized information dissemination in networks. We compare the now standard PUSH-PULL protocol, with agent-based alternatives where information is disseminated by a collection of agents performing independent…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-04 George Giakkoupis , Frederik Mallmann-Trenn , Hayk Saribekyan

Many processes of spreading and diffusion take place on temporal networks, and their outcomes are influenced by correlations in the times of contact. These correlations have a particularly strong influence on processes where the spreading…

Physics and Society · Physics 2017-09-19 Mikko Kivelä , Jordan Cambe , Jari Saramäki , Márton Karsai

We investigate the problem of disseminating broadcast messages in wireless networks with time-varying links from a percolation-based perspective. Using a model of wireless networks based on random geometric graphs with dynamic on-off links,…

Information Theory · Computer Science 2009-02-26 Zhenning Kong , Edmund M. Yeh

Distributed computing models typically assume reliable communication between processors. While such assumptions often hold for engineered networks, e.g., due to underlying error correction protocols, their relevance to biological systems,…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-29 Ofer Feinerman , Bernhard Haeupler , Amos Korman

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

Information dissemination is a fundamental problem in parallel and distributed computing. In its simplest variant, the broadcasting problem, a message has to be spread among all nodes of a graph. A prominent communication protocol for this…

Data Structures and Algorithms · Computer Science 2014-12-10 Robert Elsässer , Dominik Kaaser

Here we consider the communications tactics appropriate for a group of agents that need to "swarm" together in a highly adversarial environment. Specfically, whilst they need to cooperate by exchanging information with each other about…

Multiagent Systems · Computer Science 2023-04-07 Paul Kinsler , Sean Holman , Andrew Elliott , Cathryn N. Mitchell , R. Eddie Wilson

For the study of information propagation, one fundamental problem is uncovering universal laws governing the dynamics of information propagation. This problem, from the microscopic perspective, is formulated as estimating the propagation…

Social and Information Networks · Computer Science 2014-06-19 Junming Huang , Chao Li , Wen-Qiang Wang , Hua-Wei Shen , Guojie Li , Xue-Qi Cheng

We study the fundamental problem of information spreading (also known as gossip) in dynamic networks. In gossip, or more generally, $k$-gossip, there are $k$ pieces of information (or tokens) that are initially present in some nodes and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-12-05 Chinmoy Dutta , Gopal Pandurangan , Rajmohan Rajaraman , Zhifeng Sun

We study a natural information dissemination problem for multiple mobile agents in a bounded Euclidean space. Agents are placed uniformly at random in the $d$-dimensional space $\{-n, ..., n\}^d$ at time zero, and one of the agents holds a…

Probability · Mathematics 2011-10-04 Henry Lam , Zhenming Liu , Michael Mitzenmacher , Xiaorui Sun , Yajun Wang
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