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A population protocol *stably elects a leader* if, for all $n$, starting from an initial configuration with $n$ agents each in an identical state, with probability 1 it reaches a configuration $\mathbf{y}$ that is correct (exactly one agent…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-23 David Doty , David Soloveichik

Censor-Hillel, Cohen, Gelles, and Sela (PODC 2022 & Distributed Computing 2023) studied fully-defective asynchronous networks, where communication channels may suffer an extreme form of alteration errors, rendering messages completely…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-20 Jérémie Chalopin , Yi-Jun Chang , Lyuting Chen , Giuseppe A. Di Luna , Haoran Zhou

We study the classical Election problem in anonymous net- works, where solutions can rely on the use of random bits, which may be either shared or unshared among nodes. We provide a complete char- acterization of the conditions under which…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-06 Jérémie Chalopin , Emmanuel Godard

Leader election is a fundamental problem in distributed computing, particularly within programmable matter systems, where coordination among simple computational entities is crucial for solving complex tasks. In these systems, particles…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-10 Jérémie Chalopin , Shantanu Das , Maria Kokkou

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

We provide a deterministic scheme for solving any decidable problem in the distributed {sleeping model}. The sleeping model is a generalization of the standard message-passing model, with an additional capability of network nodes to enter a…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-05 Leonid Barenboim , Tzalik Maimon

We study distributed computation in synchronous dynamic networks where an omniscient adversary controls the unidirectional communication links. Its behavior is modeled as a sequence of directed graphs representing the active (i.e. timely)…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-20 Martin Biely , Peter Robinson , Ulrich Schmid

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

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

The deterministic membership problem for timed automata asks whether the timed language given by a nondeterministic timed automaton can be recognised by a deterministic timed automaton. An analogous problem can be stated in the setting of…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Lorenzo Clemente , Sławomir Lasota , Radosław Piórkowski

This paper studies a variant of the \emph{leader election} problem under the \emph{stone age} model (Emek and Wattenhofer, PODC 2013) that considers a network of $n$ randomized finite automata with very weak communication capabilities (a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-26 Yehuda Afek , Yuval Emek , Noa Kolikant

We consider networks of small, autonomous devices that communicate with each other wirelessly. Minimizing energy usage is an important consideration in designing algorithms for such networks, as battery life is a crucial and limited…

Data Structures and Algorithms · Computer Science 2022-04-19 Varsha Dani , Aayush Gupta , Thomas P. Hayes , Seth Pettie

The problem of electing a leader from among $n$ contenders is one of the fundamental questions in distributed computing. In its simplest formulation, the task is as follows: given $n$ processors, all participants must eventually return a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-17 Dan Alistarh , Rati Gelashvili , Adrian Vladu

In the study of radio networks, the tasks of broadcasting (propagating a message throughout the network) and leader election (having the network agree on a node to designate `leader') are two of the most fundamental global problems, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-30 Peter Davies

Starting with Michail, Chatzigiannakis, and Spirakis work, the problem of Counting the number of nodes in Anonymous Dynamic Networks has attracted a lot of attention. The problem is challenging because nodes are indistinguishable (they lack…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-17 Dariusz R. Kowalski , Miguel A. Mosteiro

We consider distributed systems with an arbitrary number of processes, modelled by timed automata that communicate through location guards: a process can take a guarded transition if at least one other process is in a given location. In…

Logic in Computer Science · Computer Science 2025-12-05 Étienne André , Swen Jacobs , Engel Lefaucheux

We present fast deterministic distributed protocols in synchronous networks for leader election and spanning tree construction. The protocols are designed under the assumption that nodes in a network have identifiers but the size of an…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-04 I. M. Khuziev , M. N. Vyalyi

A team consisting of an unknown number of mobile agents, starting from different nodes of an unknown network, have to meet at the same node and terminate. This problem is known as {\em gathering}. We study deterministic gathering algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-01 Andrzej Pelc

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 content-oblivious model, introduced by Censor-Hillel, Cohen, Gelles, and Sel (PODC 2022; Distributed Computing 2023), captures an extremely weak form of communication where nodes can only send asynchronous, content-less pulses.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-01 Yi-Jun Chang , Lyuting Chen , Haoran Zhou