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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 present a complete classification of the distributed computational complexity of local optimization problems in directed cycles for both the deterministic and the randomized LOCAL model. We show that for any local optimization problem…

分布式、并行与集群计算 · 计算机科学 2026-03-06 Thomas Boudier , Fabian Kuhn , Augusto Modanese , Ronja Stimpert , Jukka Suomela

In the fully dynamic edge connectivity problem, the input is a simple graph $G$ undergoing edge insertions and deletions, and the goal is to maintain its edge connectivity, denoted $\lambda_G$. We present two simple randomized algorithms…

数据结构与算法 · 计算机科学 2025-10-21 Yotam Kenneth-Mordoch , Robert Krauthgamer

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…

分布式、并行与集群计算 · 计算机科学 2017-06-14 Pierre Fraigniaud , Pedro Montealegre , Dennis Olivetti , Ivan Rapaport , Ioan Todinca

We study the Task Completion problem, in which $M$ abstract tasks must be completed by a network of $n$ crash-prone nodes, where up to $\alpha n$ nodes may crash for some constant $\alpha<1$. Our main result is a deterministic…

分布式、并行与集群计算 · 计算机科学 2026-05-19 Orr Fischer , Ran Gelles

We study the problem of computing the minimum cut in a weighted distributed message-passing networks (the CONGEST model). Let $\lambda$ be the minimum cut, $n$ be the number of nodes in the network, and $D$ be the network diameter. Our…

数据结构与算法 · 计算机科学 2014-08-05 Danupon Nanongkai , Hsin-Hao Su

While obtaining optimal algorithms for the most important problems in the LOCAL model has been one of the central goals in the area of distributed algorithms since its infancy, tight complexity bounds are elusive for many problems even when…

分布式、并行与集群计算 · 计算机科学 2025-05-06 Sebastian Brandt , Ananth Narayanan

Congestion is a problem of paramount importance in resource constrained Wireless Sensor Networks, especially for large networks, where the traffic loads exceed the available capacity of the resources. Sensor nodes are prone to failure and…

网络与互联网体系结构 · 计算机科学 2016-11-18 Arpita Chakraborty , Srinjoy Ganguly , Mrinal Kanti Naskar , Anupam Karmakar

We study the problem of computing approximate minimum edge cuts by distributed algorithms. We use a standard synchronous message passing model where in each round, $O(\log n)$ bits can be transmitted over each edge (a.k.a. the CONGEST…

数据结构与算法 · 计算机科学 2013-11-21 Mohsen Ghaffari , Fabian Kuhn

Mobile edge computing (MEC) provides users with a high quality experience (QoE) by placing servers with rich services close to the end users. Compared with local computing, MEC can contribute to energy saving, but results in increased…

网络与互联网体系结构 · 计算机科学 2020-08-24 JunJie Yu , Han Wang , Mingxiong Zhao , WenTao Li , HuiQi Bao , Li Yin , Mi Wu

It has been shown that one can design distributed algorithms that are (nearly) singularly optimal, meaning they simultaneously achieve optimal time and message complexity (within polylogarithmic factors), for several fundamental global…

分布式、并行与集群计算 · 计算机科学 2024-11-12 Fabien Dufoulon , Gopal Pandurangan , Peter Robinson , Michele Scquizzato

Agreement is a foundational problem in distributed computing that have been studied extensively for over four decades. Recently, Meir, Mirault, Peleg and Robinson introduced the notion of \emph{Energy Efficient Agreement}, where the goal is…

分布式、并行与集群计算 · 计算机科学 2026-02-04 Shachar Meir , David Peleg

Collaborative edge computing (CEC) is an emerging paradigm where heterogeneous edge devices collaborate to fulfill computation tasks, such as model training or video processing, by sharing communication and computation resources.…

分布式、并行与集群计算 · 计算机科学 2022-05-27 Jinkun Zhang , Yuezhou Liu , Edmund Yeh

A collection of $k$ mobile agents is arbitrarily deployed in the edges of a directed torus network where agents perpetually move to the successor edge. Each node has a switch that allows one agent of the two incoming edges to pass to its…

数据结构与算法 · 计算机科学 2021-09-03 Oscar Morales-Ponce , Burkhard Englert , Mehrdad Aliasgari

Triangle-free graphs play a central role in graph theory, and triangle detection (or triangle finding) as well as triangle enumeration (triangle listing) play central roles in the field of graph algorithms. In distributed computing,…

分布式、并行与集群计算 · 计算机科学 2021-10-05 Taisuke Izumi , François Le Gall

We consider a distributed convex optimization problem in a network which is time-varying and not always strongly connected. The local cost function of each node is affected by some stochastic process. All nodes of the network collaborate to…

最优化与控制 · 数学 2021-05-27 Wenjie Li , Mohamad Assaad

This thesis is concerned with the design of distributed algorithms for solving optimization problems. We consider networks where each node has exclusive access to a cost function, and design algorithms that make all nodes cooperate to find…

最优化与控制 · 数学 2013-12-03 João F. C. Mota

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…

分布式、并行与集群计算 · 计算机科学 2015-05-20 Laurent Feuilloley

Motivated by the increasing need for fast processing of large-scale graphs, we study a number of fundamental graph problems in a message-passing model for distributed computing, called $k$-machine model, where we have $k$ machines that…

分布式、并行与集群计算 · 计算机科学 2023-02-10 Khalid Hourani , Hartmut Klauck , William K. Moses , Danupon Nanongkai , Gopal Pandurangan , Peter Robinson , Michele Scquizzato

In the LOCAL model, low-diameter decomposition is a useful tool in designing algorithms, as it allows us to shift from the general graph setting to the low-diameter graph setting, where brute-force information gathering can be done…

数据结构与算法 · 计算机科学 2026-03-25 Yi-Jun Chang