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The congested clique model is a message-passing model of distributed computation where the underlying communication network is the complete graph of $n$ nodes. In this paper we consider the situation where the joint input to the nodes is an…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-13 Pedro Montealegre , Sebastian Perez-Salazar , Ivan Rapaport , Ioan Todinca

A standard model in network synchronised distributed computing is the LOCAL model. In this model, the processors work in rounds and, in the classic setting, they know the number of vertices of the network, $n$. Using $n$, they can compute…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-20 Laurent Feuilloley

Many practical systems can be described by dynamic networks, for which modern technique can measure their output signals, and accumulate extremely rich data. Nevertheless, the network structures producing these data are often deeply hidden…

Statistical Mechanics · Physics 2016-08-18 Yang Chen , Zhaoyang Zhang , Tianyu Chen , Shihong Wang , Gang Hu

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

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

Data aggregation is a fundamental primitive in distributed computing wherein a network computes a function of every nodes' input. However, while compute time is non-negligible in modern systems, standard models of distributed computing do…

Data Structures and Algorithms · Computer Science 2019-11-14 Bernhard Haeupler , D Ellis Hershkowitz , Anson Kahng , Ariel D. Procaccia

The problem of real-time processing is one of the most challenging current issues in computer sciences. Because of the large amount of data to be treated in a limited period of time, parallel and distributed systems are required, whose…

Physics and Society · Physics 2007-05-23 Gonzalo Travieso , Luciano da Fontoura Costa

We present deterministic constant-round protocols for the graph connectivity problem in the model where each of the $n$ nodes of a graph receives a row of the adjacency matrix, and broadcasts a single sublinear size message to all other…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-13 Pedro Montealegre , Ioan Todinca

This article investigates emergence and complexity in complex systems that can share information on a network. To this end, we use a theoretical approach from information theory, computability theory, and complex networks. One key studied…

Information Theory · Computer Science 2019-03-20 Felipe S. Abrahão , Klaus Wehmuth , Artur Ziviani

We show how to construct an overlay network of constant degree and diameter $O(\log n)$ in time $O(\log n)$ starting from an arbitrary weakly connected graph. We assume a synchronous communication network in which nodes can send messages to…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-28 Thorsten Götte , Kristian Hinnenthal , Christian Scheideler , Julian Werthmann

In the standard CONGEST model for distributed network computing, it is known that "global" tasks such as minimum spanning tree, diameter, and all-pairs shortest paths, consume large bandwidth, for their running-time is…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-14 Pierre Fraigniaud , Pedro Montealegre , Dennis Olivetti , Ivan Rapaport , Ioan Todinca

Unlimited asynchronism is intolerable in real physically distributed computer systems. Such systems, synchronous or not, use clocks and timeouts. Therefore the magnitudes of elapsed absolute time in the system need to satisfy the axiom of…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-06-04 Paul M. B. Vitanyi

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 difficult questions posed in a SPAA 2022 BA and a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-29 Jesper Larsson Träff

An existing approach for dealing with massive data sets is to stream over the input in few passes and perform computations with sublinear resources. This method does not work for truly massive data where even making a single pass over the…

Computational Complexity · Computer Science 2007-05-23 Jon Feldman , S. Muthukrishnan , Anastasios Sidiropoulos , Cliff Stein , Zoya Svitkina

We propose new succinct representations of ordinal trees, which have been studied extensively. It is known that any $n$-node static tree can be represented in $2n + o(n)$ bits and a number of operations on the tree can be supported in…

Data Structures and Algorithms · Computer Science 2010-09-27 Gonzalo Navarro , Kunihiko Sadakane

Statistical analysis on networks has received growing attention due to demand from various emerging applications. In dynamic networks, one of the key interests is to model the event history of time-stamped interactions amongst nodes. We…

Methodology · Statistics 2018-10-09 Tony Sit , Zhiliang Ying , Yi Yu

We study the design of energy-efficient algorithms for the LOCAL and CONGEST models. Specifically, as a measure of complexity, we consider the maximum, taken over all the edges, or over all the nodes, of the number of rounds at which an…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-06 Pierre Fraigniaud , Pedro Montealegre , Ivan Rapaport , Ioan Todinca

In this article we present a protocol for building dense numeration in network with unknown topology. Additionally to a unique number each node as result of the protocol will get information about a spanning tree. This spanning tree is…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-03 Khuziev Ilnur

An important task in network analysis is the detection of anomalous events in a network time series. These events could merely be times of interest in the network timeline or they could be examples of malicious activity or network…

Machine Learning · Computer Science 2016-08-03 Timothy La Fond , Jennifer Neville , Brian Gallagher

In the dynamic network model, the communication graph is assumed to be connected in every round but is otherwise arbitrary. We consider the related setting of $p$-partitioned dynamic networks, in which the communication graph in each round…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-08-05 Adam Sealfon , Aikaterini Sotiraki