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In their 2006 seminal paper in Distributed Computing, Angluin et al. present a construction that, given any Presburger predicate as input, outputs a leaderless population protocol that decides the predicate. The protocol for a predicate of…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-31 Philipp Czerner , Roland Guttenberg , Martin Helfrich , Javier Esparza

In this paper we present a framework for leader election in multi-hop radio networks which yield randomized leader election algorithms taking $O(\text{broadcasting time})$ in expectation, and another which yields algorithms taking fixed…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-19 Artur Czumaj , Peter Davies

We study the problem of how to coordinate the actions of independent agents in a distributed system where message arrival times are unbounded, but are determined by an exponential probability distribution. Asynchronous protocols executed in…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-10 Ariel Livshits , Yoram Moses

In this paper we consider a variant of population protocols in which agents are allowed to be connected by edges, known as the constructors model. During an interaction between two agents the relevant connecting edge can be formed,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-01 Leszek Gasieniec , Paul Spirakis , Grzegorz Stachowiak

Leader election is one of the fundamental and well-studied problems in distributed computing. In this paper, we initiate the study of leader election using mobile agents. Suppose $n$ agents are positioned initially arbitrarily on the nodes…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-24 Ajay D. Kshemkalyani , Manish Kumar , Anisur Rahaman Molla , Gokarna Sharma

Population protocols are a distributed computation model in which a collection of anonymous, finite-state agents interact in randomly chosen pairs and update their states according to a fixed transition function. The computation is defined…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-12 Michael Blondin , Michaël Cadilhac , Benjamin Courchesne , Lucie Guillou , Corto Mascle , Isa Vialard

In the leader-follower approach, one or more agents are selected as leaders who do not change their states or have autonomous dynamics and can influence other agents, while the other agents, called followers, perform a simple protocol based…

Optimization and Control · Mathematics 2019-12-03 Natalia Basimova , Pavel Chebotarev

We investigate space-time trade-offs for population protocols in sparse interaction graphs. In complete interaction graphs, optimal space-time trade-offs are known for the leader election and exact majority problems. However, it has…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-19 Joel Rybicki , Jakob Solnerzik , Robin Vacus

We consider the time and energy complexities of randomized leader election in a multiple-access channel, where the number of devices $n\geq 2$ is unknown. It is well-known that for polynomial-time randomized leader election algorithms with…

Data Structures and Algorithms · Computer Science 2022-05-19 Yi-Jun Chang , Shunhua Jiang

We study exact majority consensus in the population protocol model. In this model, the system is described by a graph $G = (V,E)$ with $n$ nodes, and in each time step, a scheduler samples uniformly at random a pair of adjacent nodes to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-04 Joel Rybicki , Jakob Solnerzik , Olivier Stietel , Robin Vacus

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 distributed plurality consensus in a complete graph of size $n$ with $k$ initial opinions. We design an efficient and simple protocol in the asynchronous communication model that ensures that all nodes eventually agree on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-23 Robert Elsässer , Tom Friedetzky , Dominik Kaaser , Frederik Mallmann-Trenn , Horst Trinker

We study the problem of leader election among mobile agents operating in an arbitrary network modeled as an undirected graph. Nodes of the network are unlabeled and all agents are identical. Hence the only way to elect a leader among agents…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-05 Dariusz Dereniowski , Andrzej Pelc

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

The standard population protocol model assumes that when two agents interact, each observes the entire state of the other agent. We initiate the study of $\textit{message complexity}$ for population protocols, where the state of an agent is…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-16 Talley Amir , James Aspnes , David Doty , Mahsa Eftekhari , Eric Severson

Population protocols are a model of computation in which indistinguishable mobile agents interact in pairs to decide a property of their initial configuration. Originally introduced by Angluin et. al. in 2004 with a constant number of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-09 Philipp Czerner , Vincent Fischer , Roland Guttenberg

Many tasks executed in dynamic distributed systems, such as sensor networks or enterprise environments with bring-your-own-device policy, require central coordination by a leader node. In the past it has been proven that distributed leader…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-30 Bronislav Sidik , Rami Puzis , Polina Zilberman , Yuval Elovici

We propose a protocol to solve Leader Election within weak communication models such as the beeping model or the stone-age model. Unlike most previous work, our algorithm operates on only six states, does not require unique identifiers, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-05 Robin Vacus , Isabella Ziccardi

We consider the problem of multi-choice majority voting in a network of $n$ agents where each agent initially selects a choice from a set of $K$ possible choices. The agents try to infer the choice in majority merely by performing local…

Multiagent Systems · Computer Science 2019-07-17 Hamidreza Bandealinaeini , Saber Salehkaleybar

We consider the \emph{exact plurality consensus} problem for \emph{population protocols}. Here, $n$ anonymous agents start each with one of $k$ opinions. Their goal is to agree on the initially most frequent opinion (the \emph{plurality…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-12 Gregor Bankhamer , Petra Berenbrink , Felix Biermeier , Robert Elsässer , Hamed Hosseinpour , Dominik Kaaser , Peter Kling