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Extending well-structured transition systems to incorporate a probabilistic scheduling rule, we define a new class of stochastic well-structured transition systems that includes population protocols, chemical reaction networks, and many…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-25 James Aspnes

Population protocols are a model of distributed computation intended for the study of networks of independent computing agents with dynamic communication structure. Each agent has a finite number of states, and communication opportunities…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-02 Michael Raskin

Population protocols are a formal model of sensor networks consisting of identical mobile devices. Two devices can interact and thereby change their states. Computations are infinite sequences of interactions in which the interacting…

Logic in Computer Science · Computer Science 2018-07-03 Michael Blondin , Javier Esparza , Antonín Kučera

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

Population protocols are a fundamental model in distributed computing, where many nodes with bounded memory and computational power have random pairwise interactions over time. This model has been studied in a rich body of literature aiming…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-05 Simina Branzei , Yuval Peres

A population protocol stably computes a relation R(x,y) if its output always stabilizes and R(x,y) holds if and only if y is a possible output for input x. Alternatively, a population protocol computes a predicate R(<x,y>) on pairs <x,y> if…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-04 James Aspnes

The movement of a flock with a single leader (and a directed path from it to every agent) can be stabilized. Nonetheless for large flocks perturbations in the movement of the leader may grow to a considerable size as they propagate…

Pattern Formation and Solitons · Physics 2010-02-09 J. J. P. Veerman

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 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

In the celebrated stable-matching problem, there are two sets of agents M and W, and the members of M only have preferences over the members of W and vice versa. It is usually assumed that each member of M and W is a single entity. However,…

Computer Science and Game Theory · Computer Science 2024-08-21 Leora Schmerler , Noam Hazon , Sarit Kraus

We study the problem of randomized Leader Election in synchronous distributed networks with indistinguishable nodes. We consider algorithms that work on networks of arbitrary topology in two settings, depending on whether the size of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-18 Dariusz R. Kowalski , Miguel A. Mosteiro

Population protocols are a model of distributed computation in which finite-state agents interact randomly in pairs. A protocol decides for any initial configuration whether it satisfies a fixed property, specified as a predicate on the set…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-15 Philipp Czerner

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

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

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 this work, we study protocols so that populations of distributed processes can construct networks. In order to highlight the basic principles of distributed network construction we keep the model minimal in all respects. In particular,…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-07-11 Othon Michail , Paul G. Spirakis

Population protocols are a model of distributed computation in which an arbitrary number of indistinguishable finite-state agents interact in pairs to decide some property of their initial configuration. We investigate the behaviour of…

Formal Languages and Automata Theory · Computer Science 2024-12-17 Benno Lossin , Philipp Czerner , Javier Esparza , Roland Guttenberg , Tobias Prehn

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

Leader Election is an important primitive for programmable matter, since it is often an intermediate step for the solution of more complex problems. Although the leader election problem itself is well studied even in the specific context of…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-19 Jérémie Chalopin , Shantanu Das , Maria Kokkou

We consider a single-server cyclic polling system with three queues where the server follows an adaptive rule: if it finds one of queues empty in a given cycle, it decides not to visit that queue in the next cycle. In the case of limited…

Probability · Mathematics 2013-03-20 Natalia Chernova , Sergey Foss , Bara Kim