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A fast algorithm to study one-dimensional self-gravitating systems, and, more generally, systems that are Lagrangian integrable between collisions, is presented. The algorithm is event-driven, and uses a heap-ordered set of predicted future…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alain Noullez , Duccio Fanelli , Erik Aurell

A model of a geometric algorithm is introduced and methodology of its operation is presented for the dynamic partitioning of data spaces.

Data Structures and Algorithms · Computer Science 2014-12-30 Christopher A. Tucker

Within simulations of molecules deposited on a surface we show that neuroevolutionary learning can design particles and time-dependent protocols to promote self-assembly, without input from physical concepts such as thermal equilibrium or…

Statistical Mechanics · Physics 2021-07-07 Stephen Whitelam , Isaac Tamblyn

It is pointed out that separability problem for arbitrary multi-partite states can be fully solved by a finite size, elementary recursive algorithm. In the worse case scenario, the underlying numerical procedure, may grow doubly…

Quantum Physics · Physics 2007-05-23 Piotr Badziag , Pawel Horodecki , Ryszard Horodecki

In this paper, we investigate the leader election problem in diameter-two networks. Recently, Chatterjee et al. [DC 2020] studied the leader election in diameter-two networks. They presented a $O(\log n)$-round deterministic {implicit}…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-23 Manish Kumar , Anisur Rahaman Molla , Sumathi Sivasubramaniam

The classical multi-agent rendezvous problem asks for a deterministic algorithm by which $n$ points scattered in a plane can move about at constant speed and merge at a single point, assuming each point can use only the locations of the…

Multiagent Systems · Computer Science 2013-06-24 Peter Hegarty , Anders Martinsson , Dmitry Zhelezov

Particle swarm optimization algorithm is a stochastic meta-heuristic solving global optimization problems appreciated for its efficacity and simplicity. It consists in a swarm of particles interacting among themselves and searching the…

Probability · Mathematics 2024-09-23 Vianney Bruned , André Mas , Sylvain Wlodarczyk

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

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 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

Game-theoretic motion planners are a powerful tool for the control of interactive multi-agent robot systems. Indeed, contrary to predict-then-plan paradigms, game-theoretic planners do not ignore the interactive nature of the problem, and…

Robotics · Computer Science 2023-10-20 Makram Chahine , Roya Firoozi , Wei Xiao , Mac Schwager , Daniela Rus

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

Predictively steering self-organising systems with hierarchical structure toward intended outcomes across widely separated dynamical scales remains a fundamental challenge. Despite decades of progress, hierarchy remains a descriptive…

Optics · Physics 2026-02-17 Aladin Şura , F. Ömer Ilday

We study an elementary problem of the topological robotics: collective motion of a set of $n$ distinct particles which one has to move from an initial configuration to a final configuration, with the requirement that no collisions occur in…

Algebraic Topology · Mathematics 2007-05-23 Michael Farber , Sergey Yuzvinsky

In this paper, we study the computation of shortest paths within the \emph{geometric amoebot model}, a commonly used model for programmable matter. Shortest paths are essential for various tasks and therefore have been heavily investigated…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-20 Andreas Padalkin , Christian Scheideler

Integrity of elections is vital to democratic systems, but it is frequently threatened by malicious actors. The study of algorithmic complexity of the problem of manipulating election outcomes by changing its structural features is known as…

Computer Science and Game Theory · Computer Science 2020-07-21 Andrew Estornell , Sanmay Das , Edith Elkind , Yevgeniy Vorobeychik

Active matter physics and swarm robotics have provided powerful tools for the study and control of ensembles driven by internal sources. At the macroscale, controlling swarms typically utilizes significant memory, processing power, and…

We present distributed randomized leader election protocols for multi-hop radio networks that elect a leader in almost the same time $T_{BC}$ required for broadcasting a message. For the setting without collision detection, our algorithm…

Data Structures and Algorithms · Computer Science 2014-04-04 Mohsen Ghaffari , Bernhard Haeupler

In a recently introduced model of successive committee elections (Bredereck et al., AAAI-20) for a given set of ordinal or approval preferences one aims to find a sequence of a given length of "best" same-size committees such that each…

Computer Science and Game Theory · Computer Science 2025-05-27 Pallavi Jain , Andrzej Kaczmarczyk

A well-studied randomized election algorithm proceeds as follows: In each round the remaining candidates each toss a coin and leave the competition if they obtain heads. Of interest is the number of rounds required and the number of…

Probability · Mathematics 2016-04-12 Rudolf Grübel , Klaas Hagemann
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