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We consider a Mobile Ad-hoc NETworks (MANET) formed by "n" nodes that move independently at random over a finite square region of the plane. Nodes exchange data if they are at distance at most "r" within each other, where r>0 is the node…

Discrete Mathematics · Computer Science 2009-03-04 Andrea E. F. Clementi , Francesco Pasquale , Riccardo Silvestri

We consider a Mobile Ad-hoc NETwork (MANET) formed by n agents that move at speed V according to the Manhattan Random-Way Point model over a square region of side length L. The resulting stationary (agent) spatial probability distribution…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-02-22 Andrea Clementi , Angelo Monti , Riccardo Silvestri

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

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

We present a general approach to study the flooding time (a measure of how fast information spreads) in dynamic graphs (graphs whose topology changes with time according to a random process). We consider arbitrary converging Markovian…

Discrete Mathematics · Computer Science 2015-03-19 Andrea Clementi , Riccardo Silvestri , Luca Trevisan

We study the information spreading yielded by the \emph{(Parsimonious) $1$-Flooding Protocol} in geometric Mobile Ad-Hoc Networks. We consider $n$ agents on a convex plane region of diameter $D$ performing independent random walks with move…

Social and Information Networks · Computer Science 2011-01-28 Andrea Clementi , Riccardo Silvestri

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

The goal of this paper is to increase our understanding of the fundamental performance limits of mobile and Delay Tolerant Networks (DTNs), where end-to-end multi-hop paths may not exist and communication routes may only be available…

Information Theory · Computer Science 2009-03-09 Philippe Jacquet , Bernard Mans , Georgios Rodolakis

Performance bounds for opportunistic networks have been derived in a number of recent papers for several key quantities, such as the expected delivery time of a unicast message, or the flooding time (a measure of how fast information…

Social and Information Networks · Computer Science 2012-06-28 Luca Becchetti , Andrea Clementi , Francesco Pasquale , Giovanni Resta , Paolo Santi , Riccardo Silvestri

We study the diffusion behavior of real-time information. Typically, real-time information is valuable only for a limited time duration, and hence needs to be delivered before its "deadline." Therefore, real-time information is much easier…

Social and Information Networks · Computer Science 2012-04-03 Dajun Qian , Osman Yağan , Lei Yang , Junshan Zhang

Markovian evolving graphs are dynamic-graph models where the links among a fixed set of nodes change during time according to an arbitrary Markovian rule. They are extremely general and they can well describe important dynamic-network…

Discrete Mathematics · Computer Science 2011-03-04 Andrea Clementi , Angelo Monti , Francesco Pasquale , Riccardo Silvestri

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

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

We introduce a model for information spreading among a population of N agents diffusing on a square LxL lattice, starting from an informed agent (Source). Information passing from informed to unaware agents occurs whenever the relative…

Statistical Mechanics · Physics 2009-11-11 E. Agliari , R. Burioni , D. Cassi , F. M. Neri

Motivated by the growing interest in mobile systems, we study the dynamics of information dissemination between agents moving independently on a plane. Formally, we consider $k$ mobile agents performing independent random walks on an…

Discrete Mathematics · Computer Science 2011-02-02 Alberto Pettarin , Andrea Pietracaprina , Geppino Pucci , Eli Upfal

We study a model of rumor propagation in discrete time where each site in the graph has initially a distinct information; we are interested in the number of "conversations" before the entire graph knows all informations. This problem can be…

Probability · Mathematics 2019-05-28 Darcy Camargo , Serguei Popov

Time-limited states characterise many dynamical processes on networks: disease infected individuals recover after some time, people forget news spreading on social networks, or passengers may not wait forever for a connection. These…

Physics and Society · Physics 2023-06-13 Arash Badie-Modiri , Márton Karsai , Mikko Kivelä

Information, ideas, and diseases, or more generally, contagions, spread over space and time through individual transmissions via social networks, as well as through external sources. A detailed picture of any diffusion process can be…

Social and Information Networks · Computer Science 2021-02-08 Fangcao Xu , Bruce Desmarais , Donna Peuquet

This paper introduces a new macroscopic perspective for simulating transportation networks. The idea is to look at the network as connected nodes. Each node sends an information package to its neighbors. Basically, the information package…

Dynamical Systems · Mathematics 2024-07-19 Omar Mansour , Tomer Toledo , Shadi Haj-Yahia , Wafa Elias

One of the major issues in the theoretical modeling of epidemic spreading is the development of methods to control the transmission of an infectious agent. Human behavior plays a fundamental role in the spreading dynamics and can be used to…

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