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In this paper we give fast distributed graph algorithms for detecting and listing small subgraphs, and for computing or approximating the girth. Our algorithms improve upon the state of the art by polynomial factors, and for girth, we…

Data Structures and Algorithms · Computer Science 2021-01-20 Keren Censor-Hillel , Orr Fischer , Tzlil Gonen , François Le Gall , Dean Leitersdorf , Rotem Oshman

We consider the problem of constructing a communication infrastructure from scratch, for a collection of identical wireless nodes. Combinatorially, this means a) finding a set of links that form a strongly connected spanning graph on a set…

Networking and Internet Architecture · Computer Science 2012-10-17 Magnus M. Halldorsson , Pradipta Mitra

This paper is concerned with distributed computation of several commonly used centrality measures in complex networks. In particular, we propose deterministic algorithms, which converge in finite time, for the distributed computation of the…

Systems and Control · Computer Science 2016-11-15 Keyou You , Roberto Tempo , Li Qiu

We propose an algorithm for distributed optimization over time-varying communication networks. Our algorithm uses an optimized ratio between the number of rounds of communication and gradient evaluations to achieve fast convergence. The…

Optimization and Control · Mathematics 2020-01-08 Bryan Van Scoy , Laurent Lessard

In this paper, we study distributed graph algorithms in networks in which the nodes have a limited communication capacity. Many distributed systems are built on top of an underlying networking infrastructure, for example by using a virtual…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-26 John Augustine , Mohsen Ghaffari , Robert Gmyr , Kristian Hinnenthal , Fabian Kuhn , Jason Li , Christian Scheideler

Node counting on a graph is subject to some fundamental theoretical limitations, yet a solution to such problems is necessary in many applications of graph theory to real-world systems, such as collective robotics and distributed sensor…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-29 Arindam Saha , James A. R. Marshall , Andreagiovanni Reina

We consider algorithmic problems in the setting in which the input data has been partitioned arbitrarily on many servers. The goal is to compute a function of all the data, and the bottleneck is the communication used by the algorithm. We…

Data Structures and Algorithms · Computer Science 2014-07-01 Ravindran Kannan , Santosh Vempala , David Woodruff

We consider decentralized stochastic optimization with the objective function (e.g. data samples for machine learning task) being distributed over $n$ machines that can only communicate to their neighbors on a fixed communication graph. To…

Machine Learning · Computer Science 2019-02-04 Anastasia Koloskova , Sebastian U. Stich , Martin Jaggi

We consider a standard distributed optimisation setting where $N$ machines, each holding a $d$-dimensional function $f_i$, aim to jointly minimise the sum of the functions $\sum_{i = 1}^N f_i (x)$. This problem arises naturally in…

Machine Learning · Computer Science 2021-12-08 Dan Alistarh , Janne H. Korhonen

Consider the following asynchronous, opportunistic communication model over a graph $G$: in each round, one edge is activated uniformly and independently at random and (only) its two endpoints can exchange messages and perform local…

The Beeping Network (BN) model captures important properties of biological processes. Paradoxically, the extremely limited communication capabilities of such nodes has helped BN become one of the fundamental models for networks. Since in…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-20 Pawel Garncarek , Dariusz R. Kowalski , Shay Kutten , Miguel A. Mosteiro

Clustering large datasets is a fundamental problem with a number of applications in machine learning. Data is often collected on different sites and clustering needs to be performed in a distributed manner with low communication. We would…

Data Structures and Algorithms · Computer Science 2017-02-02 Jiecao Chen , He Sun , David P. Woodruff , Qin Zhang

We provide a simple new randomized contraction approach to the global minimum cut problem for simple undirected graphs. The contractions exploit 2-out edge sampling from each vertex rather than the standard uniform edge sampling. We…

Data Structures and Algorithms · Computer Science 2019-09-04 Mohsen Ghaffari , Krzysztof Nowicki , Mikkel Thorup

In this paper, we hope to bring closer graph theory and consensus algorithms. Firstly, we give a brief introduction to graph theory by listing a concise definition. Then we analyze and visualize some commonly used graphs. Secondly, we…

Discrete Mathematics · Computer Science 2021-01-27 Shen Zheng

In recent years, the problem of computing the frequencies of the induced $k$-vertex subgraphs of a graph, or \emph{$k$-graphlets}, has become central. One approach for this problem is to sample $k$-graphlets randomly. Classic algorithms for…

Data Structures and Algorithms · Computer Science 2026-04-29 Marco Bressan , T-H. Hubert Chan , Qipeng Kuang , Mauro Sozio

We study the classical problem of moment estimation of an underlying vector whose $n$ coordinates are implicitly defined through a series of updates in a data stream. We show that if the updates to the vector arrive in the random-order…

Data Structures and Algorithms · Computer Science 2022-07-08 David P. Woodruff , Samson Zhou

Motivated by the recent advances in the field of quantum computing, quantum systems are modelled and analyzed as networks of decentralized quantum nodes which employ distributed quantum consensus algorithms for coordination. In the…

Systems and Control · Computer Science 2015-11-27 Saber Jafarizadeh

The $\hybrid$ model was recently introduced by Augustine et al. \cite{DBLP:conf/soda/AugustineHKSS20} in order to characterize from an algorithmic standpoint the capabilities of networks which combine multiple communication modes.…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-05 Ioannis Anagnostides , Themis Gouleakis

The All-Pairs Shortest Path problem (APSP) is one of the most central problems in distributed computation. In the CONGEST-CLIQUE model, in which $n$ nodes communicate with each other over a fully connected network by exchanging messages of…

Quantum Physics · Physics 2021-10-05 Taisuke Izumi , François Le Gall

We study what deterministic distributed algorithms can compute on random input graphs in extremely weak models of distributed computing: all nodes are anonymous, and in each communication round, nodes broadcast a message to all their…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-03 Joel Rybicki , Oleg Verbitsky , Maksim Zhukovskii