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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…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-31 Parikshit Saikia , Sushanta Karmakar

In this paper we focus on the distributed quantized average consensus problem in open multi-agent systems consisting of dynamic directed communication links among active nodes. We propose three communication-efficient distributed algorithms…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Jiaqi Hu , Karl H. Johansson , Apostolos I. Rikos

In this paper, we consider the unconstrained distributed optimization problem, in which the exchange of information in the network is captured by a directed graph topology, thus, nodes can only communicate with their neighbors.…

Systems and Control · Electrical Eng. & Systems 2023-12-07 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

This paper focuses on showing time-message trade-offs in distributed algorithms for fundamental problems such as leader election, broadcast, spanning tree (ST), minimum spanning tree (MST), minimum cut, and many graph verification problems.…

Data Structures and Algorithms · Computer Science 2018-10-09 Robert Gmyr , Gopal Pandurangan

Given a distributed network represented by a weighted undirected graph $G=(V,E)$ on $n$ vertices, and a parameter $k$, we devise a distributed algorithm that computes a routing scheme in $(n^{1/2+1/k}+D)\cdot n^{o(1)}$ rounds, where $D$ is…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-22 Michael Elkin , Ofer Neiman

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…

Data Structures and Algorithms · Computer Science 2013-11-21 Mohsen Ghaffari , Fabian Kuhn

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…

Data Structures and Algorithms · Computer Science 2018-05-29 Mohsen Ghaffari , Jason Li

We consider the problem of computing a maximal matching with a distributed algorithm in the presence of batch-dynamic changes to the graph topology. We assume that a graph of $n$ nodes is vertex-partitioned among $k$ players that…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-30 Minming Li , Peter Robinson , Xianbin Zhu

The best known solutions for $k$-message broadcast in dynamic networks of size $n$ require $\Omega(nk)$ rounds. In this paper, we see if these bounds can be improved by smoothed analysis. We study perhaps the most natural randomized…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-15 Michael Dinitz , Jeremy Fineman , Seth Gilbert , Calvin Newport

We consider a connected undirected graph $G(n,m)$ with $n$ nodes and $m$ edges. A $k$-dominating set $D$ in $G$ is a set of nodes having the property that every node in $G$ is at most $k$ edges away from at least one node in $D$. Finding a…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 L. D. Penso , V. C. Barbosa

We prove that a simple distributed algorithm finds a constant approximation of an optimal distance-$k$ dominating set in graphs with no $K_{2,t}$-minor. The algorithm runs in a constant number of rounds. We further show how this procedure…

Data Structures and Algorithms · Computer Science 2022-03-08 Andrzej Czygrinow , Michał Hanćkowiak , Marcin Witkowski

We present a randomized distributed algorithm that in radio networks with collision detection broadcasts a single message in $O(D + \log^6 n)$ rounds, with high probability. This time complexity is most interesting because of its optimal…

Data Structures and Algorithms · Computer Science 2014-04-04 Mohsen Ghaffari , Bernhard Haeupler , Majid Khabbazian

Broadcasting and convergecasting are pivotal services in distributed systems, in particular, in wireless ad-hoc and sensor networks, which are characterized by time- varying communication graphs. We study the question of whether it is…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-30 Manfred Schwarz , Martin Zeiner , Ulrich Schmid

Emerging networked systems become increasingly flexible and reconfigurable. This introduces an opportunity to adjust networked systems in a demand-aware manner, leveraging spatial and temporal locality in the workload for online…

Data Structures and Algorithms · Computer Science 2019-05-08 Chen Avin , Ingo van Duijn , Stefan Schmid

In this paper, we present the first known example of a locally checkable labeling problem (LCL) that admits asymptotic distributed quantum advantage in the LOCAL model of distributed computing: our problem can be solved in $O(\log n)$…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-08 Alkida Balliu , Filippo Casagrande , Francesco d'Amore , Massimo Equi , Barbara Keller , Henrik Lievonen , Dennis Olivetti , Gustav Schmid , Jukka Suomela

Distributed vertex coloring is one of the classic problems and probably also the most widely studied problems in the area of distributed graph algorithms. We present a new randomized distributed vertex coloring algorithm for the standard…

Data Structures and Algorithms · Computer Science 2021-04-13 Magnús M. Halldórsson , Fabian Kuhn , Yannic Maus , Tigran Tonoyan

Twin nodes in a static network capture the idea of being substitutes for each other for maintaining paths of the same length anywhere in the network. In dynamic networks, we model twin nodes over a time-bounded interval, noted…

Data Structures and Algorithms · Computer Science 2024-04-29 Lina Azerouk , Binh-Minh Bui-Xuan , Camille Palisoc , Maria Potop-Butucaru , Massinissa Tighilt

Distributed graph algorithms that separately optimize for either the number of rounds used or the total number of messages sent have been studied extensively. However, algorithms simultaneously efficient with respect to both measures have…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-18 Bernhard Haeupler , D. Ellis Hershkowitz , David Wajc

We investigate the maintenance of overlay networks under massive churn, i.e. nodes joining and leaving the network. We assume an adversary that may churn a constant fraction $\alpha n$ of nodes over the course of $\mathcal{O}(\log n)$…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-09 Thorsten Götte , Vipin Ravindran Vijayalakshmi , Christian Scheideler

We consider the distributed learning problem where a network of $n$ agents seeks to minimize a global function $F$. Agents have access to $F$ through noisy gradients, and they can locally communicate with their neighbors a network. We study…

Machine Learning · Computer Science 2020-11-09 Tiancheng Qin , S. Rasoul Etesami , César A. Uribe