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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…

组合数学 · 数学 2022-02-28 Reaz Huq , Pawel Pralat

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…

离散数学 · 计算机科学 2011-01-26 Alberto Pettarin , Andrea Pietracaprina , Geppino Pucci , Eli Upfal

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…

分布式、并行与集群计算 · 计算机科学 2020-06-04 George Giakkoupis , Frederik Mallmann-Trenn , Hayk Saribekyan

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…

离散数学 · 计算机科学 2011-02-02 Alberto Pettarin , Andrea Pietracaprina , Geppino Pucci , Eli Upfal

Broadcasting is an information dissemination primitive where a message originates at a node (called the originator) and is passed to all other nodes in the network. Broadcasting research is motivated by efficient network design and…

数据结构与算法 · 计算机科学 2026-05-13 Jeffrey Bringolf , Anne-Laure Ehresmann , Hovhannes A. Harutyunyan

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…

多智能体系统 · 计算机科学 2018-09-21 Aria Rezaei , Jie Gao , Jeff M. Phillips , Csaba D. Tóth

We consider k mobile agents initially located at distinct nodes of an undirected graph (on n nodes, with edge lengths) that have to deliver a single item from a given source node s to a given target node t. The agents can move along the…

数据结构与算法 · 计算机科学 2018-09-05 Andreas Bärtschi , Daniel Graf , Matus Mihalak

A line-broadcasting model in a connected graph $G=(V,E)$, $|V|=n$, is a model in which one vertex, called the {\it originator} of the broadcast holds a message that has to be transmitted to all vertices of the graph through placement of a…

离散数学 · 计算机科学 2015-04-13 Revital Hollander Shabtai , Yehuda Roditty

We consider the problem of collective exploration of a known $n$-node edge-weighted graph by $k$ mobile agents that have limited energy but are capable of energy transfers. The agents are initially placed at an arbitrary subset of nodes in…

离散数学 · 计算机科学 2021-02-26 J. Czyzowicz , S. Dobrev , R. Killick , E. Kranakis , D. Krizanc , L. Narayanan , J. Opatrny , D. Pankratov , S. Shende

The broadcasting problem concerns the efficient dissemination of information in graphs. In classical broadcasting, a single originator vertex initially has a message to be transmitted to all vertices. Every vertex which has received the…

组合数学 · 数学 2026-02-02 David Evangelista , Hovhannes A. Harutyunyan , Aram Khanlari

In this paper, we present a communication-free algorithm for distributed coverage of an arbitrary network by a group of mobile agents with local sensing capabilities. The network is represented as a graph, and the agents are arbitrarily…

系统与控制 · 计算机科学 2016-02-01 A. Yasin Yazicioglu , Magnus Egerstedt , Jeff S. Shamma

We derive an exact closed-form analytical expression for the distribution of the cover time for a random walk over an arbitrary graph. In special case, we derive simplified exact expressions for the distributions of cover time for a…

数学物理 · 物理学 2009-10-20 Nikola Zlatanov , Ljupco Kocarev

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…

概率论 · 数学 2007-05-23 Jonathan Rowe , Boris Mitavskiy

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…

数据结构与算法 · 计算机科学 2020-05-19 Ali Pourmiri , Bernard Mans

We study rumor spreading in dynamic random graphs. Starting with a single informed vertex, the information flows until it reaches all the vertices of the graph (completion), according to the following process. At each step $k$, the…

数据结构与算法 · 计算机科学 2025-06-06 Vicenzo Bonasorte

Broadcasting algorithms are important building blocks of distributed systems. In this work we investigate the typical performance of the classical and well-studied push model. Assume that initially one node in a given network holds some…

组合数学 · 数学 2010-02-19 Nikolaos Fountoulakis , Konstantinos Panagiotou

The most celebrated and extensively studied model of distributed computing is the {\em message-passing model,} in which each vertex/node of the (distributed network) graph corresponds to a static computational device that communicates with…

分布式、并行与集群计算 · 计算机科学 2025-07-08 Ajay D. Kshemkalyani , Manish Kumar , Anisur Rahaman Molla , Gokarna Sharma

The problem of finding a spanning forest of a graph in a distributed-processing environment is studied. If an input graph is weighted, then the goal is to find a minimum-weight spanning forest. The processors communicate by broadcasting.…

数据结构与算法 · 计算机科学 2018-01-03 Bogdan S. Chlebus , Karol Golab , Dariusz R. Kowalski

We study networks of processes that all execute the same finite state protocol and that communicate through broadcasts. The processes are organized in a graph (a topology) and only the neighbors of a process in this graph can receive its…

计算机科学中的逻辑 · 计算机科学 2024-07-08 Lucie Guillou , Arnaud Sangnier , Nathalie Sznajder

We study the game-theoretic task of selecting mobile agents to deliver multiple items on a network. An instance is given by $m$ messages (physical objects) which have to be transported between specified source-target pairs in a weighted…

计算机科学与博弈论 · 计算机科学 2019-04-17 Andreas Bärtschi , Daniel Graf , Paolo Penna
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