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This paper considers distributed computing on an anonymous quantum network, a network in which no party has a unique identifier and quantum communication and computation are available. It is proved that the leader election problem can…

Quantum Physics · Physics 2020-06-24 Hirotada Kobayashi , Keiji Matsumoto , Seiichiro Tani

Unlimited asynchronism is intolerable in real physically distributed computer systems. Such systems, synchronous or not, use clocks and timeouts. Therefore the magnitudes of elapsed absolute time in the system need to satisfy the axiom of…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-06-04 Paul M. B. Vitanyi

This paper gives the first separation of quantum and classical pure (i.e., non-cryptographic) computing abilities with no restriction on the amount of available computing resources, by considering the exact solvability of a celebrated…

Quantum Physics · Physics 2012-10-10 Seiichiro Tani , Hirotada Kobayashi , Keiji Matsumoto

The leader election task calls for all nodes of a network to agree on a single node. If the nodes of the network are anonymous, the task of leader election is formulated as follows: every node $v$ of the network must output a simple path,…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-29 Christian Glacet , Avery Miller , Andrzej Pelc

We consider the standard population protocol model, where (a priori) indistinguishable and anonymous agents interact in pairs according to uniformly random scheduling. The self-stabilizing leader election problem requires the protocol to…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-30 Janna Burman , Ho-Lin Chen , Hsueh-Ping Chen , David Doty , Thomas Nowak , Eric Severson , Chuan Xu

We explore the fundamental limits of distributed balls-into-bins algorithms. We present an adaptive symmetric algorithm that achieves a bin load of two in log* n+O(1) communication rounds using O(n) messages in total. Larger bin loads can…

Computational Complexity · Computer Science 2011-03-01 Christoph Lenzen , Roger Wattenhofer

We study population protocols: networks of anonymous agents that interact under a scheduler that picks pairs of agents uniformly at random. The _size counting problem_ is that of calculating the exact number $n$ of agents in the population,…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-15 David Doty , Mahsa Eftekhari , Othon Michail , Paul G. Spirakis , Michail Theofilatos

In the content-oblivious (CO) model (proposed by Censor-Hillel et al.), processes inhabit an asynchronous network and communicate only by exchanging pulses. A series of works has clarified the computational power of this model. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-31 Jérémie Chalopin , Yi-Jun Chang , Giuseppe Antonio Di Luna , Haoran Zhou

We study the problem of optimal leader selection in consensus networks with noisy relative information. The objective is to identify the set of $k$ leaders that minimizes the formation's deviation from the desired trajectory established by…

Optimization and Control · Mathematics 2014-12-23 Stacy Patterson , Neil McGlohon , Kirill Dyagilev

Broadcast and consensus are most fundamental tasks in distributed computing. These tasks are particularly challenging in dynamic networks where communication across the network links may be unreliable, e.g., due to mobility or failures.…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-21 Antoine El-Hayek , Monika Henzinger , Stefan Schmid

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

We address the Leader Election (LE) problem in networks of anonymous sensors sharing no kind of common coordinate system. Leader Election is a fundamental symmetry breaking problem in distributed computing. Its goal is to assign value 1…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-02-22 Yoann dieudonné , Florence Levé , Franck Petit , Vincent Villain

We study the problems of leader election and population size counting for population protocols: networks of finite-state anonymous agents that interact randomly under a uniform random scheduler. We show a protocol for leader election that…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-08 Othon Michail , Paul G. Spirakis , Michail Theofilatos

Electing a leader is a classical problem in distributed computing system. Synchronization between processes often requires one process acting as a coordinator. If an elected leader node fails, the other nodes of the system need to elect…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-14 P Beaulah Soundarabai , Ritesh Sahai , Thriveni J , K R Venugopal , L M Patnaik

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

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 present an $O(\log^3\log n)$-round distributed algorithm for the $(\Delta+1)$-coloring problem, where each node broadcasts only one $O(\log n)$-bit message per round to its neighbors. Previously, the best such broadcast-based algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-20 Maxime Flin , Mohsen Ghaffari , Magnús M. Halldórsson , Fabian Kuhn , Alexandre Nolin

We study the problem of optimal leader selection in consensus networks under two performance measures (1) formation coherence when subject to additive perturbations, as quantified by the steady-state variance of the deviation from the…

Optimization and Control · Mathematics 2016-04-26 Stacy Patterson , Neil McGlohon , Kirill Dyagilev

We study two fundamental communication primitives: broadcasting and leader election in the classical model of multi-hop radio networks with unknown topology and without collision detection mechanisms. It has been known for almost 20 years…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-07 Artur Czumaj , Peter Davies

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