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In this paper, we formalize design patterns, commonly used in the self-stabilizing area, to obtain general statements regarding both correctness and time complexity guarantees. Precisely, we study a general class of algorithms designed for…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-08 Karine Altisen , Stéphane Devismes , Anaïs Durand

Self-stabilization for non-masking fault-tolerant distributed system has received considerable research interest over the last decade. In this paper, we propose a self-stabilizing algorithm for 2-edge-connectivity and 2-vertex-connectivity…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-26 Abusayeed Saifullah

In this paper, the leader election problem in the population protocol model is considered. A leader election protocol with logarithmic stabilization time is given. Given a rough knowledge m of the population size n such that m >= \log_2 n…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-01 Yuichi Sudo , Fukuhito Ooshita , Taisuke Izumi , Hirotsugu Kakugawa , Toshimitsu Masuzawa

In this paper, we resolve a long-standing question in self-stabilization by demonstrating that it is indeed possible to construct a spanning tree in a semi-uniform network using constant memory per node. We introduce a self-stabilizing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-13 Lélia Blin , Franck Petit , Sébastien Tixeuil

We provide the first deterministic distributed synchronizer with near-optimal time complexity and message complexity overheads. Concretely, given any distributed algorithm $\mathcal{A}$ that has time complexity $T$ and message complexity…

Data Structures and Algorithms · Computer Science 2023-05-12 Mohsen Ghaffari , Anton Trygub

We consider leader election in anonymous radio networks modeled as simple undirected connected graphs. Nodes communicate in synchronous rounds. Nodes are anonymous and execute the same deterministic algorithm, so symmetry can be broken only…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-10 Avery Miller , Andrzej Pelc , Ram Narayan Yadav

We consider congestion control in peer-to-peer distributed systems. The problem can be reduced to the following scenario: Consider a set $V$ of $n$ peers (called clients in this paper) that want to send messages to a fixed common peer…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-12 Michael Feldmann , Thorsten Götte , Christian Scheideler

We study the problem of leader selection in leader-follower multi-agent systems that are subject to stochastic disturbances. This problem arises in applications such as vehicle formation control, distributed clock synchronization, and…

Optimization and Control · Mathematics 2014-10-27 Stacy Patterson

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.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-28 Tomasz Jurdzinski , Krzysztof Nowicki

We present new distributed quantum algorithms for fundamental distributed computing problems, namely, leader election, broadcast, Minimum Spanning Tree (MST), and Breadth-First Search (BFS) tree, in arbitrary networks. These algorithms are…

Quantum Physics · Physics 2026-03-03 Fabien Dufoulon , Frédéric Magniez , Gopal Pandurangan

Efficient control of power systems is becoming increasingly difficult as they gain in complexity and size. We propose an automatic control strategy that regulates the mechanical power output of the generators in a power grid based on…

Systems and Control · Computer Science 2014-10-09 Andrej Gajduk , Mirko Todorovski , Ljupco Kocarev

This paper presents a randomized Las Vegas distributed algorithm that constructs a minimum spanning tree (MST) in weighted networks with optimal (up to polylogarithmic factors) time and message complexity. This algorithm runs in…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-25 Gopal Pandurangan , Peter Robinson , Michele Scquizzato

This paper is devoted to deterministic consensus in synchronous dynamic networks with unidirectional links, which are under the control of an omniscient message adversary. Motivated by unpredictable node/system initialization times and…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-06 Manfred Schwarz , Kyrill Winkler , Ulrich Schmid

Consider a complete communication network of $n$ nodes, where the nodes receive a common clock pulse. We study the synchronous $c$-counting problem: given any starting state and up to $f$ faulty nodes with arbitrary behaviour, the task is…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-24 Christoph Lenzen , Joel Rybicki , Jukka Suomela

We consider the problem of solving consensus using deterministic algorithms in a synchronous dynamic network with unreliable, directional point-to-point links, which are under the control of a message adversary. In contrast to a large body…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-10 Kyrill Winkler , Manfred Schwarz , Ulrich Schmid

A radio network (RN) is a distributed system consisting of $n$ radio stations. We design and analyze two distributed leader election protocols in RN where the number $n$ of radio stations is unknown. The first algorithm runs under the…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Christian Lavault , Jean-François Marckert , Vlady Ravelomanana

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-07 Keren Censor-Hillel , Tariq Toukan

We present a self-stabilizing protocol for an overlay network that constructs the Minimum Spanning Tree (MST) for an underlay that is modeled by a weighted tree. The weight of an overlay edge between two nodes is the weighted length of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-10 Thorsten Götte , Christian Scheideler , Alexander Setzer

Searching for other participants is one of the most important operations in a distributed system. We are interested in topologies in which it is possible to route a packet in a fixed number of hops until it arrives at its destination. Given…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-12-18 Michael Feldmann , Christian Scheideler

We consider the problem of clustering graph nodes over large-scale dynamic graphs, such as citation networks, images and web networks, when graph updates such as node/edge insertions/deletions are observed distributively. We propose…

Data Structures and Algorithms · Computer Science 2018-11-16 Chun Jiang Zhu , Tan Zhu , Kam-Yiu Lam , Song Han , Jinbo Bi