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We consider a gossip network, consisting of $n$ nodes, which tracks the information at a source. The source updates its information with a Poisson arrival process and also sends updates to the nodes in the network. The nodes themselves can…

Information Theory · Computer Science 2023-10-03 Purbesh Mitra , Sennur Ulukus

We address the problem of minimizing power consumption when performing reliable broadcast on a radio network under the following popular model. Each node in the network is located on a point in a two dimensional grid, and whenever a node…

Data Structures and Algorithms · Computer Science 2007-10-15 Valerie King , Cynthia Phillips , Jared Saia , Maxwell Young

We consider two fundamental communication tasks in arbitrary radio networks: broadcasting (information from one source has to reach all nodes) and gossiping (every node has a message and all messages have to reach all nodes). Nodes are…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-11 Adam Gańczorz , Tomasz Jurdziński , Andrzej Pelc

Age of Information is a newly introduced metric, getting vivid attention for measuring the freshness of information in real-time networks. This parameter has evolved to guarantee the reception of timely information from the latest status…

Performance · Computer Science 2021-01-25 Devarpita Sinha , Rajarshi Roy

We study the problem of information gathering in ad-hoc radio networks without collision detection, focussing on the case when the network forms a tree, with edges directed towards the root. Initially, each node has a piece of information…

Data Structures and Algorithms · Computer Science 2014-07-08 Marek Chrobak , Kevin Costello , Leszek Gasieniec , Dariusz R. Kowalski

We introduce a graph-theoretic approach to synchronizing clocks in an {\em ad hoc} network of $N$~timepieces. Clocks naturally drift away from being synchronized because of many physical factors. The manual way of clock synchronization…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-29 Jaderick P. Pabico

Consider the Telephone Broadcast problem in which an input is a connected graph $G$ on $n$ vertices, a source vertex $s \in V(G)$, and a positive integer $t$. The objective is to decide whether there is a broadcast protocol from $s$ that…

Data Structures and Algorithms · Computer Science 2024-03-07 Prafullkumar Tale

Index Coding has received considerable attention recently motivated in part by real-world applications and in part by its connection to Network Coding. The basic setting of Index Coding encodes the problem input as an undirected graph and…

Information Theory · Computer Science 2011-07-14 Anna Blasiak , Robert Kleinberg , Eyal Lubetzky

We consider the problem of minimizing the number of broadcasts for collecting all sensor measurements at a sink node in a noisy broadcast sensor network. Focusing first on arbitrary network topologies, we provide (i) fundamental limits on…

Information Theory · Computer Science 2017-02-01 Yaoqing Yang , Soummya Kar , Pulkit Grover

We consider a gossip network consisting of a source generating updates and $n$ nodes connected according to a given graph structure. The source keeps updates of a process, that might be generated or observed, and shares them with the…

Information Theory · Computer Science 2024-05-30 Arunabh Srivastava , Sennur Ulukus

In this paper, we study the problem of robust global synchronization of resetting clocks in multi-agent networked systems, where by robust global synchronization we mean synchronization that is insensitive to arbitrarily small disturbances,…

Systems and Control · Computer Science 2020-06-24 Muhammad U. Javed , Jorge I. Poveda , Xudong Chen

In this paper, we investigate the approximate consensus problem in highly dynamic networks in which topology may change continually and unpredictably. We prove that in both synchronous and partially synchronous systems, approximate…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-11-13 Bernadette Charron-Bost , Matthias Függer , Thomas Nowak

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

Classically, planning tasks are studied as a two-step process: plan creation and plan execution. In situations where plan creation is slow (for example, due to expensive information access or complex constraints), a natural speed-up tactic…

Data Structures and Algorithms · Computer Science 2025-02-17 Katrin Casel , Stefan Neubert

Diffusion is a fundamental graph process, underpinning such phenomena as epidemic disease contagion and the spread of innovation by word-of-mouth. We address the algorithmic problem of finding a set of k initial seed nodes in a network so…

Data Structures and Algorithms · Computer Science 2016-06-23 Christian Borgs , Michael Brautbar , Jennifer Chayes , Brendan Lucier

This paper studies broadcasting and gossiping algorithms in random and general AdHoc networks. Our goal is not only to minimise the broadcasting and gossiping time, but also to minimise the energy consumption, which is measured in terms of…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Petra Berenbrink , Colin Cooper , Zengjian Hu

We consider the fundamental problems of determining the rooted and global edge and vertex connectivities (and computing the corresponding cuts) in directed graphs. For rooted (and hence also global) edge connectivity with small integer…

Data Structures and Algorithms · Computer Science 2021-04-16 Chandra Chekuri , Kent Quanrud

This paper considers a wireless network where multiple flows are delivering status updates about their respective information sources. An end user aims to make accurate real-time estimations about the status of each information source using…

Networking and Internet Architecture · Computer Science 2019-01-31 Daojing Guo , I-Hong Hou

We consider the problem of timely exchange of updates between a central station and a set of ground terminals $V$, via a mobile agent that traverses across the ground terminals along a mobility graph $G = (V, E)$. We design the trajectory…

Information Theory · Computer Science 2019-01-09 Vishrant Tripathi , Rajat Talak , Eytan Modiano

We study the NP-hard problem of approximating a Minimum Routing Cost Spanning Tree in the message passing model with limited bandwidth (CONGEST model). In this problem one tries to find a spanning tree of a graph $G$ over $n$ nodes that…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-06 Alexandra Hochuli , Stephan Holzer , Roger Wattenhofer