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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…

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

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

We consider the problem of determining asymptotic bounds on the capacity of a random ad hoc network. Previous approaches assumed a link layer model in which if a transmitter-receiver pair can communicate with each other, i.e., the Signal to…

Information Theory · Computer Science 2008-11-24 Vivek P. Mhatre , Catherine P. Rosenberg , Ravi R. Mazumdar

We investigate robust linear consensus over networks under capacity-constrained communication. The capacity of each edge is encoded as an upper bound on the number of state variables that can be communicated instantaneously. When the edge…

Systems and Control · Electrical Eng. & Systems 2021-05-25 Yasin Yazicioglu , Alberto Speranzon

We compare the solvability of the Consensus and Broadcast problems in synchronous communication networks in which the delivery of messages is not reliable. The failure model is the mobile omission faults model. During each round, some…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-19 Emmanuel Godard , Joseph Peters

Ensuring reliable communication despite possibly malicious participants is a primary objective in any distributed system or network. In this paper, we investigate the possibility of reliable broadcast in a dynamic network whose topology may…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-06 Silvia Bonomi , Giovanni Farina , Sébastien Tixeuil

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

We show that it is possible to transmit and preserve information at short time scales over an n-fold composition of quantum channels $(\Xi^n)_{n \in \mathbb{N}}$ modelled as a discrete quantum Markov semigroup, long enough to generate…

Quantum Physics · Physics 2025-09-04 Archishna Bhattacharyya

We study the popular randomized rumour spreading protocol Push. Initially, a node in a graph possesses some information, which is then spread in a round based manner. In each round, each informed node chooses uniformly at random one of its…

Probability · Mathematics 2021-10-20 Rami Daknama , Konstantinos Panagiotou , Simon Reisser

In broadcasting, one node of a network has a message that must be learned by all other nodes. We study deterministic algorithms for this fundamental communication task in a very weak model of wireless communication. The only signals sent by…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-29 Kokouvi Hounkanli , Andrzej Pelc

We give optimally fast $O(\log p)$ time (per processor) algorithms for computing round-optimal broadcast schedules for message-passing parallel computing systems. This affirmatively answers the questions posed in Tr\"aff (2022). The problem…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-03 Jesper Larsson Träff

The idle computers on a local area, campus area, or even wide area network represent a significant computational resource---one that is, however, also unreliable, heterogeneous, and opportunistic. This type of resource has been used…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Adriana Iamnitchi , Ian Foster

This paper discusses the problem of maximizing the total data transmission utility of the computer network. The total utility is defined as the sum of the individual (corresponding to each node in the network) utilities that are concave…

Optimization and Control · Mathematics 2022-01-31 Dmitry Pasechnyuk

A network of chaotic systems can be designed in such a way that the cluster patterns formed by synchronous nodes can be controlled through the coupling parameters. We present a novel approach to exploit such a network for covert…

Information Theory · Computer Science 2023-12-11 Zekeriya Sarı , Serkan Günel

In this work we extend the recently proposed synchronous broadcast algorithm amnesiac flooding to the case of intermittent communication channels. In amnesiac flooding a node forwards a received message in the subsequent round. There are…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-12 Volker Turau

We study the problem of maintaining robust and sparse overlay networks in fully distributed settings where nodes continuously join and leave the system. This scenario closely models real-world unstructured peer-to-peer networks, where…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-16 Antonio Cruciani

Time plays an essential role in the diffusion of information, influence and disease over networks. In many cases we only observe when a node copies information, makes a decision or becomes infected -- but the connectivity, transmission…

Social and Information Networks · Computer Science 2011-05-05 Manuel Gomez Rodriguez , David Balduzzi , Bernhard Schölkopf

In the Telephone Broadcast problem we are given a graph $G=(V,E)$ with a designated source vertex $s\in V$. Our goal is to transmit a message, which is initially known only to $s$, to all vertices of the graph by using a process where in…

Data Structures and Algorithms · Computer Science 2025-04-21 Yudai Egami , Tatsuya Gima , Tesshu Hanaka , Yasuaki Kobayashi , Michael Lampis , Valia Mitsou , Edouard Nemery , Yota Otachi , Manolis Vasilakis , Daniel Vaz

We consider the corner-stone broadcast task with an adaptive adversary that controls a fixed number of $t$ edges in the input communication graph. In this model, the adversary sees the entire communication in the network and the random…

Data Structures and Algorithms · Computer Science 2022-03-29 Yael Hitron , Merav Parter

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
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