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In this paper, we study the graph realization problem in the Congested Clique model of distributed computing under crash faults. We consider {\em degree-sequence realization}, in which each node $v$ is associated with a degree value $d(v)$,…

分布式、并行与集群计算 · 计算机科学 2022-08-23 Anisur Rahaman Molla , Manish Kumar , Sumathi Sivasubramaniam

We study a Faulty Congested Clique model, in which an adversary may fail nodes in the network throughout the computation. We show that any task of $O(n\log{n})$-bit input per node can be solved in roughly $n$ rounds, where $n$ is the size…

数据结构与算法 · 计算机科学 2025-09-10 Keren Censor-Hillel , Pedro Soto

In this paper, we show that the Minimum Spanning Tree problem can be solved \emph{deterministically}, in $\mathcal{O}(1)$ rounds of the $\mathsf{Congested}$ $\mathsf{Clique}$ model. In the $\mathsf{Congested}$ $\mathsf{Clique}$ model, there…

数据结构与算法 · 计算机科学 2020-06-11 Krzysztof Nowicki

This paper considers the \textit{minimum spanning tree (MST)} problem in the Congested Clique model and presents an algorithm that runs in $O(\log \log \log n)$ rounds, with high probability. Prior to this, the fastest MST algorithm in this…

分布式、并行与集群计算 · 计算机科学 2014-12-09 Sriram V. Pemmaraju , Vivek B. Sardeshmukh

We design a deterministic compiler that makes any computation in the Congested Clique model robust to a constant fraction $\alpha<1$ of adversarial crash faults. In particular, we show how a network of $n$ nodes can compute any circuit of…

数据结构与算法 · 计算机科学 2025-08-13 Keren Censor-Hillel , Orr Fischer , Ran Gelles , Pedro Soto

This paper provides three nearly-optimal algorithms for scheduling $t$ jobs in the $\mathsf{CLIQUE}$ model. First, we present a deterministic scheduling algorithm that runs in $O(\mathsf{GlobalCongestion} + \mathsf{dilation})$ rounds for…

分布式、并行与集群计算 · 计算机科学 2021-02-16 Keren Censor-Hillel , Yannic Maus , Volodymyr Polosukhin

In this work, we present a constant-round algorithm for the $2$-ruling set problem in the Congested Clique model. As a direct consequence, we obtain a constant round algorithm in the MPC model with linear space-per-machine and optimal total…

数据结构与算法 · 计算机科学 2023-10-11 Mélanie Cambus , Fabian Kuhn , Shreyas Pai , Jara Uitto

In the load balancing problem, each node in a network is assigned a load, and the goal is to equally distribute the loads among the nodes, by preforming local load exchanges. While load balancing was extensively studied in static networks,…

分布式、并行与集群计算 · 计算机科学 2021-05-28 Seth Gilbert , Uri Meir , Ami Paz , Gregory Schwartzman

We study a new formulation of the team-formation problem, where the goal is to form teams to work on a given set of tasks requiring different skills. Deviating from the classic problem setting where one is asking to cover all skills of each…

社会与信息网络 · 计算机科学 2025-03-11 Karan Vombatkere , Evimaria Terzi , Aristides Gionis

Over the past decade, a long line of research has investigated the distributed complexity landscape of locally checkable labeling (LCL) problems on bounded-degree graphs, culminating in an almost-complete classification on general graphs…

数据结构与算法 · 计算机科学 2024-02-16 Alkida Balliu , Sebastian Brandt , Fabian Kuhn , Dennis Olivetti , Gustav Schmid

Consider a clique of n nodes, where in each synchronous round each pair of nodes can exchange O(log n) bits. We provide deterministic constant-time solutions for two problems in this model. The first is a routing problem where each node is…

分布式、并行与集群计算 · 计算机科学 2013-05-13 Christoph Lenzen

Load balancing is among the basic primitives in distributed computing. In this paper, we consider this problem when executed locally on a network with nodes prone to failures. We show that there exist lightweight network topologies that are…

分布式、并行与集群计算 · 计算机科学 2025-08-05 Dariusz R. Kowalski , Jan Olkowski

In this paper, we define a new class of distributed tasks, called SOS tasks (for Set of Output Sets tasks), defined by the set $O$ of distinct output sets of values that can be produced. We then demonstrate that this class of tasks is…

分布式、并行与集群计算 · 计算机科学 2026-04-09 Timothé Albouy , Antonio Fernández Anta , Chryssis Georgiou , Nicolas Nicolaou , Junlang Wang

We present and analyze a wait-free deterministic algorithm for solving the at-most-once problem: how m shared-memory fail-prone processes perform asynchronously n jobs at most once. Our algorithmic strategy provides for the first time…

分布式、并行与集群计算 · 计算机科学 2013-12-04 Sotirios Kentros , Aggelos Kiayias

Two of the most fundamental distributed symmetry-breaking problems are that of finding a maximal independent set (MIS) and a maximal matching (MM) in a graph. It is a major open question whether these problems can be solved in constant…

分布式、并行与集群计算 · 计算机科学 2025-03-03 Keren Censor-Hillel , Tomer Even , Maxime Flin , Magnús M. Halldórsson

This paper presents constant-time and near-constant-time distributed algorithms for a variety of problems in the congested clique model. We show how to compute a 3-ruling set in expected $O(\log \log \log n)$ rounds and using this, we…

分布式、并行与集群计算 · 计算机科学 2018-09-12 James W. Hegeman , Sriram V. Pemmaraju , Vivek B. Sardeshmukh

We present $O(\log\log n)$-round algorithms in the Massively Parallel Computation (MPC) model, with $\tilde{O}(n)$ memory per machine, that compute a maximal independent set, a $1+\epsilon$ approximation of maximum matching, and a…

数据结构与算法 · 计算机科学 2022-03-21 Mohsen Ghaffari , Themis Gouleakis , Christian Konrad , Slobodan Mitrović , Ronitt Rubinfeld

The congested clique is a synchronous, message-passing model of distributed computing in which each computational unit (node) in each round can send message of O(log n) bits to each other node of the network, where n is the number of nodes.…

分布式、并行与集群计算 · 计算机科学 2017-07-28 Tomasz Jurdzinski , Krzysztof Nowicki

In this paper we present algorithms for several string problems in the Congested Clique model. In the Congested Clique model, $n$ nodes (computers) are used to solve some problem. The input to the problem is distributed among the nodes, and…

数据结构与算法 · 计算机科学 2025-04-14 Shay Golan , Matan Kraus

We provide a deterministic scheme for solving any decidable problem in the distributed {sleeping model}. The sleeping model is a generalization of the standard message-passing model, with an additional capability of network nodes to enter a…

分布式、并行与集群计算 · 计算机科学 2021-08-05 Leonid Barenboim , Tzalik Maimon
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