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We study the consensus problem in a synchronous distributed system of $n$ nodes under an adaptive adversary that has a slightly outdated view of the system and can block all incoming and outgoing communication of a constant fraction of the…

分布式、并行与集群计算 · 计算机科学 2018-05-03 Peter Robinson , Christian Scheideler , Alexander Setzer

We show that many classical optimization problems --- such as $(1\pm\epsilon)$-approximate maximum flow, shortest path, and transshipment --- can be computed in $\newcommand{\tmix}{{\tau_{\text{mix}}}}\tmix(G)\cdot n^{o(1)}$ rounds of…

数据结构与算法 · 计算机科学 2018-05-29 Mohsen Ghaffari , Jason Li

The \emph{Steiner tree} problem is one of the fundamental and classical problems in combinatorial optimization. In this paper, we study this problem in the $\mathcal{CONGESTED}$ $\mathcal{CLIQUE}$ model of distributed computing and present…

分布式、并行与集群计算 · 计算机科学 2019-07-31 Parikshit Saikia , Sushanta Karmakar

This paper initiates the study of the impact of failures on the fundamental problem of \emph{information spreading} in the Vertex-Congest model, in which in every round, each of the $n$ nodes sends the same $O(\log{n})$-bit message to all…

分布式、并行与集群计算 · 计算机科学 2015-07-07 Keren Censor-Hillel , Tariq Toukan

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

We present near-optimal algorithms for detecting small vertex cuts in the CONGEST model of distributed computing. Despite extensive research in this area, our understanding of the vertex connectivity of a graph is still incomplete,…

数据结构与算法 · 计算机科学 2023-06-21 Merav Parter , Asaf Petruschka

We propose a simple and time-optimal algorithm for property testing a graph for its conductance in the CONGEST model. Our algorithm takes only $O(\log n)$ rounds of communication (which is known to be optimal), and consists of simply…

分布式、并行与集群计算 · 计算机科学 2024-03-12 Tugkan Batu , Amitabh Trehan , Chhaya Trehan

In their seminal PODC 1991 paper, Ostrovsky and Yung introduced the study of distributed computation in the presence of mobile adversaries which can dynamically appear throughout the network. Over the years, this setting has been studied…

数据结构与算法 · 计算机科学 2023-05-24 Orr Fischer , Merav Parter

Graph spanners are fundamental graph structures with a wide range of applications in distributed networks. We consider a standard synchronous message passing model where in each round $O(\log n)$ bits can be transmitted over every edge (the…

数据结构与算法 · 计算机科学 2017-08-15 Ofer Grossman , Merav Parter

We revisit the classic broadcast problem, wherein we have $k$ messages, each composed of $O(\log{n})$ bits, distributed arbitrarily across a network. The objective is to broadcast these messages to all nodes in the network. In the…

分布式、并行与集群计算 · 计算机科学 2024-04-22 Shashwat Chandra , Yi-Jun Chang , Michal Dory , Mohsen Ghaffari , Dean Leitersdorf

We introduce the \emph{local information cost} (LIC), which quantifies the amount of information that nodes in a network need to learn when solving a graph problem. We show that the local information cost presents a natural lower bound on…

分布式、并行与集群计算 · 计算机科学 2024-01-23 Peter Robinson

We extract a core principle underlying seemingly different fundamental distributed settings, showing sparsity awareness may induce faster algorithms for problems in these settings. To leverage this, we establish a new framework by…

分布式、并行与集群计算 · 计算机科学 2021-12-01 Keren Censor-Hillel , Dean Leitersdorf , Volodymyr Polosukhin

We study local aggregation and graph analysis in distributed environments using the message passing model. We provide a flexible framework, where each of the nodes in a set $S$--which is a subset of all nodes in the network--can perform a…

分布式、并行与集群计算 · 计算机科学 2016-05-24 Benjamin Dissler , Stephan Holzer , Roger Wattenhofer

Algorithmic meta-theorems, stating that graph properties expressible in some particular logic can be decided efficiently in graph classes having some specific structural properties, are now standard in sequential graph algorithms. One of…

数据结构与算法 · 计算机科学 2025-07-16 Benjamin Jauregui , Jason Li , Pedro Montealegre , Ioan Todinca

In the minimum $k$-edge-connected spanning subgraph ($k$-ECSS) problem the goal is to find the minimum weight subgraph resistant to up to $k-1$ edge failures. This is a central problem in network design, and a natural generalization of the…

数据结构与算法 · 计算机科学 2018-05-22 Michal Dory

We study the NP-hard problem of approximating a Minimum Routing Cost Spanning Tree in the message passing model with limited bandwidth (CONGEST model). In this problem one tries to find a spanning tree of a graph $G$ over $n$ nodes that…

分布式、并行与集群计算 · 计算机科学 2014-06-06 Alexandra Hochuli , Stephan Holzer , Roger Wattenhofer

In this paper, we study the question of how efficiently a collection of interconnected nodes can perform a global computation in the widely studied GOSSIP model of communication. In this model, nodes do not know the global topology of the…

离散数学 · 计算机科学 2011-04-18 Keren Censor-Hillel , Bernhard Haeupler , Jonathan A. Kelner , Petar Maymounkov

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

This paper proposes $\mathbf{C}$ommunication efficient $\mathbf{RE}$cursive $\mathbf{D}$istributed estimati$\mathbf{O}$n algorithm, $\mathcal{CREDO}$, for networked multi-worker setups without a central master node. $\mathcal{CREDO}$ is…

最优化与控制 · 数学 2018-01-15 Anit Kumar Sahu , Dusan Jakovetic , Soummya Kar

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