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The population protocol model is a computational model for passive mobile agents. We address the leader election problem, which determines a unique leader on arbitrary communication graphs starting from any configuration. Unfortunately,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-10 Haruki Kanaya , Ryota Eguchi , Taisho Sasada , Michiko Inoue

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 consider the problem of self-stabilizing leader election in the population model by Angluin, Aspnes, Diamadi, Fischer, and Peralta (JDistComp '06). The population model is a well-established and powerful model for asynchronous,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-05 Henry Austin , Petra Berenbrink , Tom Friedetzky , Thorsten Götte , Lukas Hintze

We propose a self-stabilizing leader election protocol on directed rings in the model of population protocols. Given an upper bound $N$ on the population size $n$, the proposed protocol elects a unique leader within $O(nN)$ expected steps…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-15 Daisuke Yokota , Yuichi Sudo , Toshimitsu Masuzawa

In the stochastic population protocol model, we are given a connected graph with $n$ nodes, and in every time step, a scheduler samples an edge of the graph uniformly at random and the nodes connected by this edge interact. A fundamental…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-22 Dan Alistarh , Joel Rybicki , Sasha Voitovych

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

We address the self-stabilizing exact majority problem in the population protocol model, introduced by Angluin, Aspnes, Diamadi, Fischer, and Peralta (2004). In this model, there are $n$ state machines, called agents, which form a network.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-03 Haruki Kanaya , Ryota Eguchi , Taisho Sasada , Fukuhito Ooshita , Michiko Inoue

This paper shows that every leader election protocol requires logarithmic stabilization time both in expectation and with high probability in the population protocol model. This lower bound holds even if each agent has knowledge of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-05 Yuichi Sudo , Toshimitsu Masuzawa

We propose a self-stabilizing leader election (SS-LE) protocol on ring networks in the population protocol model. Given a rough knowledge $\psi = \lceil \log n \rceil + O(1)$ on the population size $n$, the proposed protocol lets the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-16 Daisuke Yokota , Yuichi Sudo , Fukuhito Ooshita , Toshimitsu Masuzawa

We investigate leader election problem via ranking within self-stabilising population protocols. In this scenario, the agent's state space comprises $n$ rank states and $x$ extra states. The initial configuration of $n$ agents consists of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-06 Leszek Gąsieniec , Tytus Grodzicki , Grzegorz Stachowiak

Population protocols are networks of finite-state agents, interacting randomly, and updating their states using simple rules. Despite their extreme simplicity, these systems have been shown to cooperatively perform complex computational…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-18 Dan Alistarh , Rati Gelashvili

We present a silent, self-stabilizing ranking protocol for the population protocol model of distributed computing, where agents interact in randomly chosen pairs to solve a common task. We are given $n$ anonymous agents, and the goal is to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-15 Petra Berenbrink , Robert Elsässer , Thorsten Götte , Lukas Hintze , Dominik Kaaser

We study the self-stabilizing leader election problem in anonymous $n$-nodes networks. Achieving self-stabilization with low space memory complexity is particularly challenging, and designing space-optimal leader election algorithms remains…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-20 Lelia Blin , Sylvain Gay , Isabella Ziccardi

We present a loosely-stabilizing phase clock for population protocols. In the population model we are given a system of $n$ identical agents which interact in a sequence of randomly chosen pairs. Our phase clock is leaderless and it…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-03 Petra Berenbrink , Felix Biermeier , Christopher Hahn , Dominik Kaaser

This paper presents a randomized self-stabilizing algorithm that elects a leader $r$ in a general $n$-node undirected graph and constructs a spanning tree $T$ rooted at $r$. The algorithm works under the synchronous message passing network…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-13 Xavier Défago , Yuval Emek , Shay Kutten , Toshimitsu Masuzawa , Yasumasa Tamura

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

This paper focuses on compact deterministic self-stabilizing solutions for the leader election problem. When the protocol is required to be \emph{silent} (i.e., when communication content remains fixed from some point in time during any…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-01-21 Lélia Blin , Sébastien Tixeuil

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

Population protocols are a popular model of distributed computing, in which randomly-interacting agents with little computational power cooperate to jointly perform computational tasks. Inspired by developments in molecular computation, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-18 Dan Alistarh , James Aspnes , David Eisenstat , Rati Gelashvili , Ronald L. Rivest

We study the self-stabilizing leader election (SS-LE) problem in the population protocol model, assuming exact knowledge of the population size $n$. Burman, Chen, Chen, Doty, Nowak, Severson, and Xu [BCC+21] (PODC) showed that this problem…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-02 Yuichi Sudo
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