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By introducing a predictive mechanism with small-world connections, we propose a new motion protocol for self-driven flocks. The small-world connections are implemented by randomly adding long-range interactions from the leader to a few…

Data Analysis, Statistics and Probability · Physics 2009-02-03 Hai-Tao Zhang , Michael Z. Q. Chen , Tao Zhou

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

It was suggested that a programmable matter system (composed of multiple computationally weak mobile particles) should remain connected at all times since otherwise, reconnection is difficult and may be impossible. At the same time, it was…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-03 Fabien Dufoulon , Shay Kutten , William K. Moses

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

Many real-world networks such as social networks consist of strategic agents. The topology of these networks often plays a crucial role in determining the ease and speed with which certain information driven tasks can be accomplished.…

Social and Information Networks · Computer Science 2017-07-03 Swapnil Dhamal , Y. Narahari

Population protocols are a model of distributed computation in which a collection of indistinguishable finite-state agents interact randomly in pairs to decide a predicate of their initial configuration. The agents decide by achieving a…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-01 Philipp Czerner , Javier Esparza , Vincent Fischer , Roland Guttenberg , Julian Pins , Simon Reilich

We consider the model of population protocols introduced by Angluin et al., in which anonymous finite-state agents stably compute a predicate of the multiset of their inputs via two-way interactions in the all-pairs family of communication…

Computational Complexity · Computer Science 2007-05-23 Dana Angluin , James Aspnes , David Eisenstat , Eric Ruppert

Consider a cyclically ordered collection of $r$ equinumerous agent sets with strict preferences of every agent over the agents from the next agent set. A weakly stable cyclic matching is a partition of the set of agents into disjoint union…

Combinatorics · Mathematics 2019-11-19 Boris Pittel

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 2021-12-28 Mikhail Raskin

Motivated by data on coauthorships in scientific publications, we analyze a team formation process that generalizes matching models and network formation models, allowing for overlapping teams of heterogeneous size. We apply different…

Theoretical Economics · Economics 2022-11-29 Leonardo Boncinelli , Alessio Muscillo , Paolo Pin

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 consider the problem of stable matching with dynamic preference lists. At each time step, the preference list of some player may change by swapping random adjacent members. The goal of a central agency (algorithm) is to maintain an…

Computer Science and Game Theory · Computer Science 2016-06-29 Varun Kanade , Nikos Leonardos , Frédéric Magniez

Population protocols are a well-studied model of distributed computation in which a group of anonymous finite-state agents communicates via pairwise interactions. Together they decide whether their initial configuration, that is, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-03 Steffen van Bergerem , Roland Guttenberg , Sandra Kiefer , Corto Mascle , Nicolas Waldburger , Chana Weil-Kennedy

We consider the following distributed consensus problem: Each node in a complete communication network of size $n$ initially holds an \emph{opinion}, which is chosen arbitrarily from a finite set $\Sigma$. The system must converge toward a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-28 Luca Becchetti , Andrea Clementi , Emanuele Natale , Francesco Pasquale , Luca Trevisan

The election of a leader in a network is a challenging task, especially when the processes are asynchronous, i.e., execute an algorithm with time-varying periods. Thales developed an industrial election algorithm with an arbitrary number of…

Logic in Computer Science · Computer Science 2019-07-05 Étienne André , Laurent Fribourg , Jean-Marc Mota , Romain Soulat

Population protocols (Angluin et al., PODC, 2004) 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…

Logic in Computer Science · Computer Science 2018-08-15 Javier Esparza , Pierre Ganty , Rupak Majumdar , Chana Weil-Kennedy

Stable matching is a fundamental problem studied both in economics and computer science. The task is to find a matching between two sides of agents that have preferences over who they want to be matched with. A matching is stable if no pair…

Computer Science and Game Theory · Computer Science 2024-03-11 Juho Hirvonen , Sara Ranjbaran

In bipartite matching problems, agents on two sides of a graph want to be paired according to their preferences. The stability of a matching depends on these preferences, which in uncertain environments also reflect agents' beliefs about…

Computer Science and Game Theory · Computer Science 2025-11-10 Jonathan Shaki , Jiarui Gan , Sarit Kraus

The formation and stability of social hierarchies is a question of general relevance. Here, we propose a simple generalized theoretical model for establishing social hierarchy via pair-wise interactions between individuals and investigate…

Physics and Society · Physics 2023-11-28 Joseph Hickey , Jörn Davidsen

We study large-scale distributed cooperative systems that use optimistic replication. We represent a system as a graph of actions (operations) connected by edges that reify semantic constraints between actions. Constraint types include…

Databases · Computer Science 2007-10-08 Pierre Sutra , Marc Shapiro , João Pedro Barreto
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