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Related papers: Improved Bounds for Distributed Load Balancing

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We consider the problem of computing a perfect matching problem in a synchronous distributed network, where the network topology corresponds to a complete bipartite graph. The communication between nodes is restricted to activating…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-09 Hugo Mirault , Peter Robinson , Ming Ming Tan , Xianbin Zhu

We consider the problem of computing all pairs shortest paths (APSP) and shortest paths for k sources in a weighted graph in the distributed CONGEST model. For graphs with non-negative integer edge weights (including zero weights) we build…

Data Structures and Algorithms · Computer Science 2018-10-22 Udit Agarwal , Vijaya Ramachandran

We present a deterministic distributed algorithm that computes a $(2\Delta-1)$-edge-coloring, or even list-edge-coloring, in any $n$-node graph with maximum degree $\Delta$, in $O(\log^7 \Delta \log n)$ rounds. This answers one of the…

Data Structures and Algorithms · Computer Science 2017-04-11 Manuela Fischer , Mohsen Ghaffari , Fabian Kuhn

Minimum Weight Cycle (MWC) is the problem of finding a simple cycle of minimum weight in a graph $G=(V,E)$. This is a fundamental graph problem with classical sequential algorithms that run in $\tilde{O}(n^3)$ and $\tilde{O}(mn)$ time where…

Data Structures and Algorithms · Computer Science 2024-05-24 Vignesh Manoharan , Vijaya Ramachandran

We investigate graph problems in the following setting: we are given a graph $G$ and we are required to solve a problem on $G^2$. While we focus mostly on exploring this theme in the distributed CONGEST model, we show new results and…

Data Structures and Algorithms · Computer Science 2020-06-09 Reuven Bar-Yehuda , Keren Censor-Hillel , Yannic Maus , Shreyas Pai , Sriram V. Pemmaraju

We consider the online unrelated-machine load balancing problem with recourse, where the algorithm is allowed to re-assign prior jobs. We give a $(2+\epsilon)$-competitive algorithm for the problem with $O_\epsilon(\log n)$ amortized…

Data Structures and Algorithms · Computer Science 2022-11-30 Ravishankar Krishnaswamy , Shi Li , Varun Suriyanarayana

This paper improves and in two cases nearly settles, up to logarithmically lower-order factors, the deterministic complexity of some of the most central problems in distributed graph algorithms, which have been studied for over three…

Data Structures and Algorithms · Computer Science 2024-10-28 Mohsen Ghaffari , Christoph Grunau

The CONGEST and CONGEST-CLIQUE models have been carefully studied to represent situations where the communication bandwidth between processors in a network is severely limited. Messages of only $O(log(n))$ bits of information each may be…

The densest subgraph problem, introduced in the 80s by Picard and Queyranne as well as Goldberg, is a classic problem in combinatorial optimization with a wide range of applications. The lowest outdegree orientation problem is known to be…

Data Structures and Algorithms · Computer Science 2022-09-13 Hsin-Hao Su , Hoa T. Vu

In the load-balancing problem, we have an $n$-vertex bipartite graph $G=(L, R, E)$ between a set of clients and servers. The goal is to find an assignment of all clients to the servers, while minimizing the maximum load on each server,…

Data Structures and Algorithms · Computer Science 2024-10-22 Sepehr Assadi , Aaron Bernstein , Zachary Langley , Lap Chi Lau , Robert Wang

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-24 Benjamin Dissler , Stephan Holzer , Roger Wattenhofer

We study parallel \emph{Load Balancing} protocols for a client-server distributed model defined as follows. There is a set $\sC$ of $n$ clients and a set $\sS$ of $n$ servers where each client has (at most) a constant number $d \geq 1$ of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-29 Andrea Clementi , Emanuele Natale , Isabella Ziccardi

We study computing {\em all-pairs shortest paths} (APSP) on distributed networks (the CONGEST model). The goal is for every node in the (weighted) network to know the distance from every other node using communication. The problem admits…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-07 Chien-Chung Huang , Danupon Nanongkai , Thatchaphol Saranurak

In this paper, we present a low-diameter decomposition algorithm in the LOCAL model of distributed computing that succeeds with probability $1 - 1/poly(n)$. Specifically, we show how to compute an $\left(\epsilon, O\left(\frac{\log…

Data Structures and Algorithms · Computer Science 2023-07-25 Yi-Jun Chang , Zeyong Li

We consider a multi agent optimization problem where a set of agents collectively solves a global optimization problem with the objective function given by the sum of locally known convex functions. We focus on the case when information…

Optimization and Control · Mathematics 2016-03-14 Ali Makhdoumi , Asuman Ozdaglar

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

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…

Data Structures and Algorithms · Computer Science 2025-09-10 Keren Censor-Hillel , Pedro Soto

To schedule a large number of EVs with the presence of practical nonconvex charging constraints, a distributed and randomized algorithm is proposed in this paper. The algorithm assumes the availability of a coordinator which can communicate…

Optimization and Control · Mathematics 2014-04-14 Lingwen Gan , Ufuk Topcu , Steven H. Low

The $CONGEST$ model for distributed network computing is well suited for analyzing the impact of limiting the throughput of a network on its capacity to solve tasks efficiently. For many "global" problems there exists a lower bound of…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-21 Dennis Olivetti

For a family of graphs $\cal F$, the canonical Weighted $\cal F$ Vertex Deletion problem is defined as follows: given an $n$-vertex undirected graph $G$ and a weight function $w: V(G)\rightarrow\mathbb{R}$, find a minimum weight subset…

Data Structures and Algorithms · Computer Science 2017-07-18 Akanksha Agrawal , Daniel Lokshtanov , Pranabendu Misra , Saket Saurabh , Meirav Zehavi
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