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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

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

We study the time needed for deterministic leader election in the ${\cal LOCAL}$ model, where in every round a node can exchange any messages with its neighbors and perform any local computations. The topology of the network is unknown and…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-07 Emanuele G. Fusco , Andrzej Pelc

This paper concerns designing distributed algorithms that are {\em singularly optimal}, i.e., algorithms that are {\em simultaneously} time and message {\em optimal}, for the fundamental leader election problem in {\em asynchronous}…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-13 Shay Kutten , William K. Moses , Gopal Pandurangan , David Peleg

We revisit the majority problem in the population protocol communication model, as first studied by Angluin et al. (Distributed Computing 2008). We consider a more general version of this problem known as plurality consensus, which has…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-06 Antoine El-Hayek , Robert Elsässer , Stefan Schmid

The study of the number of collisions in a Poisson-Dirichlet coalescent leads to the analysis of the following version of a stochastic leader-elec\-tion algorithm. Consider an infinite family of persons, labeled by $1,2,3,\ldots$, who…

Probability · Mathematics 2016-11-15 Gerold Alsmeyer , Zakhar Kabluchko , Alexander Marynych

Population protocols are a class of algorithms for modeling distributed computation in networks of finite-state agents communicating through pairwise interactions. Their suitability for analyzing numerous chemical processes has motivated…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-04 Talley Amir , James Aspnes , John Lazarsfeld

In the population protocol model, many problems cannot be solved in a self-stabilizing way. However, global knowledge, such as the number of nodes in a network, sometimes allows us to design a self-stabilizing protocol for such problems. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-25 Yuichi Sudo , Masahiro Shibata , Junya Nakamura , Yonghwan Kim , Toshimitsu Masuzawa

We study a game theoretic model where a coalition of processors might collude to bias the outcome of the protocol, where we assume that the processors always prefer any legitimate outcome over a non-legitimate one. We show that the problems…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-16 Assaf Yifrach , Yishay Mansour

Population protocols are a model of distributed computing where $n$ agents, each a simple finite-state machine, interact in pairs to solve a common task against a (adversarial) interaction scheduler. This model was intensively studied in…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Tom-Lukas Breitkopf , Julien Dallot , Antoine El-Hayek , Stefan Schmid

We consider the problem of simulating traditional population protocols under weaker models of communication, which include one-way interactions (as opposed to two-way interactions) and omission faults (i.e., failure by an agent to read its…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-22 Giuseppe Antonio Di Luna , Paola Flocchini , Taisuke Izumi , Tomoko Izumi , Nicola Santoro , Giovanni Viglietta

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

This paper revisits a fundamental distributed computing problem in the population protocol model. Provided $n$ agents each starting with an input color in $[k]$, the relative majority problem asks to find the predominant color. In the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-06 Tom-Lukas Breitkopf , Julien Dallot , Antoine El-Hayek , Stefan Schmid

In the distributed localization problem (DLP), $n$ anonymous robots (agents) $a_0, a_1, ..., a_{n-1}$ begin at arbitrary positions $p_0, ..., p_{n-1}$ in $S$, where $S$ is an Euclidean space. The primary goal in DLP is for agents to reach a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-09 Leszek Gąsieniec , Łukasz Kuszner , Ehsan Latif , Ramviyas Parasuraman , Paul Spirakis , Grzegorz Stachowiak

We consider a scenario in which leaders are required to recruit teams of followers. Each leader cannot recruit all followers, but interaction is constrained according to a bipartite network. The objective for each leader is to reach a state…

Multiagent Systems · Computer Science 2012-12-11 Lorenzo Coviello , Massimo Franceschetti

There has recently been a surge of interest in the computational and complexity properties of the population model, which assumes $n$ anonymous, computationally-bounded nodes, interacting at random, and attempting to jointly compute global…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-12 Dan Alistarh , Martin Töpfer , Przemysław Uznański

We study the message complexity of leader election in synchronous networks of diameter two. Our main contribution is a refined analysis of the randomized algorithm proposed by Chatterjee et al. [DC, 2020]. In their work, the authors…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-21 Abhijit Sadhukhan , Adri Bhattacharya , Anisur Rahaman Molla

This paper considers a localized data-driven consensus problem for leader-follower multi-agent systems with unknown discrete-time agent dynamics, where each follower computes its local control gain using only their locally collected state…

Systems and Control · Electrical Eng. & Systems 2024-01-24 Zeze Chang , Junjie Jiao , Zhongkui Li

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

Leader election is a basic symmetry breaking problem in distributed computing. All nodes of a network have to agree on a single node, called the leader. If the nodes of the network have distinct labels, then agreeing on a single node means…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-20 Barun Gorain , Andrzej Pelc
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