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Data streams are often defined as large amounts of data flowing continuously at high speed. Moreover, these data are likely subject to changes in data distribution, known as concept drift. Given all the reasons mentioned above, learning…

In wireless networks, consisting of battery-powered devices, energy is a costly resource and most of it is spent on transmitting and receiving messages. Broadcast is a problem where a message needs to be transmitted from one node to all…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-15 Marek Klonowski , Dominik Pająk

Graph burning is a simple model for the spread of social influence in networks. The objective is to measure how quickly a fire (e.g., a piece of fake news) can be spread in a network. The burning process takes place in discrete rounds. In…

Combinatorics · Mathematics 2019-09-05 Shahin Kamali , Avery Miller , Kenny Zhang

We consider a scenario of broadcasting information over a network of nodes connected by noiseless communication links. A source node in the network has $k$ data packets to broadcast, and it suffices that a large fraction of the network…

Information Theory · Computer Science 2019-01-23 B. R. Vinay Kumar , Navin Kashyap

We consider an information dissemination problem where the root of an undirected graph constantly updates its information. The goal is to keep every other node in the graph about the root as freshly informed as possible. Our synchronous…

Social and Information Networks · Computer Science 2022-07-18 Da Qi Chen , Lin An , Aidin Niaparast , R. Ravi , Oleksandr Rudenko

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.…

Data Structures and Algorithms · Computer Science 2018-01-03 Bogdan S. Chlebus , Karol Golab , Dariusz R. Kowalski

This paper revisits the study of (minimum) broadcast graphs, i.e., graphs enabling fast information dissemination from every source node to all the other nodes (and having minimum number of edges for this property). This study is performed…

Data Structures and Algorithms · Computer Science 2025-03-07 Pierre Fraigniaud , Hovhannes A. Harutyunyan

There is a growing demand for live, on-the-fly processing of increasingly large amounts of data. In order to ensure the timely and reliable processing of streaming data, a variety of distributed stream processing architectures and platforms…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-25 Raphael Eidenbenz , Thomas Locher

Given a network and a set of vertices called seeds to initially inject information, influence spread is the expected number of vertices that eventually receive the information under a certain stochastic model of information propagation.…

Data Structures and Algorithms · Computer Science 2026-04-16 Kengo Nakamura , Masaaki Nishino

In this paper, we revisit the problem of \textsc{Broadcast}, introduced by Das, Giachoudis, Luccio, and Markou [OPODIS, 2020], where $k+1$ agents are initially placed on an $n$ node dynamic graph, where $1$ agent has a message that must be…

Discrete Mathematics · Computer Science 2025-04-09 William K. Moses , Amanda Redlich , Frederick Stock

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 study the classic NP-Hard problem of finding the maximum $k$-set coverage in the data stream model: given a set system of $m$ sets that are subsets of a universe $\{1,\ldots,n \}$, find the $k$ sets that cover the most number of distinct…

Data Structures and Algorithms · Computer Science 2018-05-11 Andrew McGregor , Hoa T. Vu

Graph burning is a model for the spread of social contagion. The burning number is a graph parameter associated with graph burning that measures the speed of the spread of contagion in a graph; the lower the burning number, the faster the…

Combinatorics · Mathematics 2015-11-24 Anthony Bonato , Jeannette Janssen , Elham Roshanbin

Cycles in graphs often signify interesting processes. For example, cyclic trading patterns can indicate inefficiencies or economic dependencies in trade networks, cycles in food webs can identify fragile dependencies in ecosystems, and…

Data Structures and Algorithms · Computer Science 2019-09-04 Florian Adriaens , Cigdem Aslay , Tijl De Bie , Aristides Gionis , Jefrey Lijffijt

We study the following generalization of the well-known model of broadcasting on trees. Consider an infinite directed acyclic graph (DAG) with a unique source node $X$. Let the collection of nodes at distance $k$ from $X$ be called the…

Information Theory · Computer Science 2018-03-21 Anuran Makur , Elchanan Mossel , Yury Polyanskiy

In recent years, the problem of computing the frequencies of the induced $k$-vertex subgraphs of a graph, or \emph{$k$-graphlets}, has become central. One approach for this problem is to sample $k$-graphlets randomly. Classic algorithms for…

Data Structures and Algorithms · Computer Science 2026-04-29 Marco Bressan , T-H. Hubert Chan , Qipeng Kuang , Mauro Sozio

Delay-tolerant networks (DTNs) are characterized by a possible absence of end-to-end communication routes at any instant. Still, connectivity can generally be established over time and space. The optimality of a temporal path (journey) in…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-04-16 Arnaud Casteigts , Paola Flocchini , Bernard Mans , Nicola Santoro

The weighted $k$-center problem in graphs is a classical facility location problem where we place $k$ centers on the graph, which minimize the maximum weighted distance of a vertex to its nearest center. We study this problem when the…

Data Structures and Algorithms · Computer Science 2023-03-31 Binay Bhattacharya , Sandip Das , Subhadeep Ranjan Dev

A multi-hop synchronous wirelss network is said to be unknown if the nodes have no knowledge of the topology. A basic task in wireless network is that of broadcasting a message (created by a fixed source node) to all nodes of the network.…

Data Structures and Algorithms · Computer Science 2007-05-23 Andrea E. F. Clementi , Angelo Monti , Riccardo Silvestri

Given a graph $G=(V,E)$ and an integer $k \ge 1$, a $k$-hop dominating set $D$ of $G$ is a subset of $V$, such that, for every vertex $v \in V$, there exists a node $u \in D$ whose hop-distance from $v$ is at most $k$. A $k$-hop dominating…

Data Structures and Algorithms · Computer Science 2020-12-11 A. Karim Abu-Affash , Paz Carmi , Adi Krasin