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Solitude verification is arguably one of the simplest fundamental problems in distributed computing, where the goal is to verify that there is a unique contender in a network. This paper devises a quantum algorithm that exactly solves the…

Quantum Physics · Physics 2020-06-24 Seiichiro Tani

We study the problem of counting the number of nodes in a slotted-time communication network, under the challenging assumption that nodes do not have identifiers and the network topology changes frequently. That is, for each time slot links…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-08 Alessia Milani , Miguel A. Mosteiro

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

We propose a self-stabilizing algorithm for computing a maximal matching in an anonymous network. The complexity is $O(n^3)$ moves with high probability, under the adversarial distributed daemon. In this algorithm, each node can determine…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Johanne Cohen , Jonas Lefèvre , Khaled Maâmra , Laurence Pilard , Devan Sohier

We study the maximum cardinality matching problem in a standard distributed setting, where the nodes $V$ of a given $n$-node network graph $G=(V,E)$ communicate over the edges $E$ in synchronous rounds. More specifically, we consider the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-19 Mohamad Ahmadi , Fabian Kuhn

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 study distributed optimization problems over a network when the communication between the nodes is constrained, and so information that is exchanged between the nodes must be quantized. This imperfect communication poses a fundamental…

Optimization and Control · Mathematics 2018-10-30 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

In this paper we consider a network of processors aiming at cooperatively solving linear programming problems subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2019-08-27 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Roland Bouffanais

In this work we address the question of efficiency of distributed computing in anonymous, congested and highly dynamic and not-always-connected networks/systems. More precisely, the system consists of an unknown number of anonymous nodes…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-16 Dariusz R. Kowalski , Miguel A. Mosteiro

A singularly (near) optimal distributed algorithm is one that is (near) optimal in \emph{two} criteria, namely, its time and message complexities. For \emph{synchronous} CONGEST networks, such algorithms are known for fundamental…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-05 Fabien Dufoulon , Shay Kutten , William K. Moses , Gopal Pandurangan , David Peleg

To design algorithms that reduce communication cost or meet rate constraints and are robust to communication noise, we study convex distributed optimization problems where a set of agents are interested in solving a separable optimization…

Optimization and Control · Mathematics 2023-05-02 Hadi Reisizadeh , Anand Gokhale , Behrouz Touri , Soheil Mohajer

We present a randomized distributed algorithm that in radio networks with collision detection broadcasts a single message in $O(D+\log^2 n)$ time slots, with high probability. In view of the lower-bound $\Omega(D+\log^2 n)$, our algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-04 Ny Aina Andriambolamalala , Vlady Ravelomanana

Mutual exclusion is a classical problem in distributed computing that provides isolation among concurrent action executions that may require access to the same shared resources. Inspired by algorithmic research on distributed systems of…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-25 Joshua J. Daymude , Andréa W. Richa , Christian Scheideler

For a graph G=(V,E), finding a set of disjoint edges that do not share any vertices is called a matching problem, and finding the maximum matching is a fundamental problem in the theory of distributed graph algorithms. Although local…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-14 Naoki Kitamura , Taisuke Izumi

We study the maximum $k$-set coverage problem in the following distributed setting. A collection of sets $S_1,\ldots,S_m$ over a universe $[n]$ is partitioned across $p$ machines and the goal is to find $k$ sets whose union covers the most…

Data Structures and Algorithms · Computer Science 2018-08-24 Sepehr Assadi , Sanjeev Khanna

We construct a new quantum algorithm for the graph collision problem; that is, the problem of deciding whether the set of marked vertices contains a pair of adjacent vertices in a known graph G. The query complexity of our algorithm is…

Quantum Physics · Physics 2012-04-09 Dmitry Gavinsky , Tsuyoshi Ito

Self-stabilizing distributed control is often modeled by token abstractions. A system with a single token may implement mutual exclusion; a system with multiple tokens may ensure that immediate neighbors do not simultaneously enjoy a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-13 Kajari Ghosh Dastidar , Ted Herman

In the study of deterministic distributed algorithms it is commonly assumed that each node has a unique $O(\log n)$-bit identifier. We prove that for a general class of graph problems, local algorithms (constant-time distributed algorithms)…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-24 Mika Göös , Juho Hirvonen , Jukka Suomela

In this paper, we consider a network of processors aiming at cooperatively solving mixed-integer convex programs subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2022-07-19 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Francesco Sasso , Roland Bouffanais

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
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