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We study a distributed coordination mechanism for uniform agents located on a circle. The agents perform their actions in synchronised rounds. At the beginning of each round an agent chooses the direction of its movement from clockwise,…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-04-28 Leszek Gasieniec , Tomasz Jurdzinski , Russell Martin , Grzegorz Stachowiak

We study the problem of collective tree exploration in which a team of $k$ mobile agents must collectively visit all nodes of an unknown tree in as few moves as possible. The agents all start from the root and discover adjacent edges as…

Data Structures and Algorithms · Computer Science 2025-07-22 Romain Cosson , Laurent Massoulié

The design of distributed gathering and convergence algorithms for tiny robots has recently received much attention. In particular, it has been shown that convergence problems can even be solved for very weak, \emph{oblivious} robots:…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-23 Debasish Pattanayak , Kaushik Mondal , Partha Sarathi Mandal , Stefan Schmid

This work deals with the problem of gathering $n$ oblivious mobile entities, called robots, at a point (not known beforehand) placed on an infinite triangular grid. The robots are considered to be myopic, i.e., robots have limited…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-29 Pritam Goswami , Avisek Sharma , Satakshi Ghosh , Buddhadeb Sau

In this paper we address the complexity issues of two agreement problems in oblivious robot networks namely gathering and scattering. These abstractions are fundamental coordination problems in cooperative mobile robotics. Moreover, their…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-07-14 Julien Clement , Xavier Defago , Maria Gradinariu Potop-Butucaru , Stephane Messika

Efficient robotic exploration of unknown, sensor limited, global-information-deficient environments poses unique challenges to path planning algorithms. In these difficult environments, no deterministic guarantees on path completion and…

Robotics · Computer Science 2017-05-01 Alexander Ivanov , Mark Campbell

Given an undirected, anonymous, port-labeled graph of $n$ memory-less nodes, $m$ edges, and degree $\Delta$, we consider the problem of dispersing $k\leq n$ robots (or tokens) positioned initially arbitrarily on one or more nodes of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-05 Ajay D. Kshemkalyani , Gokarna Sharma

We investigate the problem of optimally assigning a large number of robots (or other types of autonomous agents) to guard the perimeters of closed 2D regions, where the perimeter of each region to be guarded may contain multiple disjoint…

Robotics · Computer Science 2019-05-14 Si Wei Feng , Shuai D. Han , Kai Gao , Jingjin Yu

We present a new algorithm for the problem of universal gathering mobile oblivious robots (that is, starting from any initial configuration that is not bivalent, using any number of robots, the robots reach in a finite number of steps the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-05 Pierre Courtieu , Lionel Rieg , Sébastien Tixeuil , Xavier Urbain

Consider a finite set of identical computational entities that can move freely in the Euclidean plane operating in Look-Compute-Move cycles. Let p(t) denote the location of entity p at time t; entity p can see entity q at time t if at that…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-02 G. A. Di Luna , P. Flocchini , S. Gan Chaudhuri , F. Poloni , N. Santoro , G. Viglietta

Coordinating the motion of multiple agents in constrained environments is a fundamental challenge in robotics, motion planning, and scheduling. A motivating example involves $n$ robotic arms, each represented as a line segment. The…

Computational Complexity · Computer Science 2025-08-29 Nicolas Bousquet , Remy El Sabeh , Amer E. Mouawad , Naomi Nishimura

The \textsc{Mutual Visibility} is a well-known problem in the context of mobile robots. For a set of $n$ robots disposed in the Euclidean plane, it asks for moving the robots without collisions so as to achieve a placement ensuring that no…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-04 Serafino Cicerone , Alessia Di Fonso , Gabriele Di Stefano , Alfredo Navarra

Balancing safety and efficiency when planning in crowded scenarios with uncertain dynamics is challenging where it is imperative to accomplish the robot's mission without incurring any safety violations. Typically, chance constraints are…

Robotics · Computer Science 2023-02-22 Khaled A. Mustafa , Oscar de Groot , Xinwei Wang , Jens Kober , Javier Alonso-Mora

We consider a swarm of $n$ robots in \mathbb{R}^d. The robots are oblivious, disoriented (no common coordinate system/compass), and have limited visibility (observe other robots up to a constant distance). The basic formation task gathering…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-12 Jannik Castenow , Jonas Harbig , Daniel Jung , Peter Kling , Till Knollmann , Friedhelm Meyer auf der Heide

The following questions are often encountered in system and control theory. Given an algebraic model of a physical process, which variables can be, in theory, deduced from the input-output behavior of an experiment? How many of the…

Optimization and Control · Mathematics 2025-10-20 Alexandre Sedoglavic

This paper considers the path planning problem for autonomous exploration of an unknown environment using multiple heterogeneous robots such as drones, wheeled, and legged robots, which have different capabilities to traverse complex…

Robotics · Computer Science 2025-10-07 Longrui Yang , Yiyu Wang , Jingfan Tang , Yunpeng Lv , Shizhe Zhao , Chao Cao , Zhongqiang Ren

In this paper, we have considered two fully synchronous $\mathcal{OBLOT}$ robots having no agreement on coordinates entering a finite unoriented grid through a door vertex at a corner, one by one. There is a resource that can move around…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-15 Pritam Goswami , Avisek Sharma , Satakshi Ghosh , Buddhadeb Sau

Autonomous exploration allows mobile robots to navigate in initially unknown territories in order to build complete representations of the environments. In many real-life applications, environments often contain dynamic obstacles which can…

Robotics · Computer Science 2021-07-30 Valentina Cavinato , Thomas Eppenberger , Dina Youakim , Roland Siegwart , Renaud Dubé

In this paper, we investigate the possibility to deterministically solve the gathering problem (GP) with weak robots (anonymous, autonomous, disoriented, deaf and dumb, and oblivious). We introduce strong multiplicity detection as the…

Multiagent Systems · Computer Science 2009-05-07 Yoann Dieudonné , Franck Petit

Given a set of $n\geq 1$ unit disk robots in the Euclidean plane, we consider the fundamental problem of providing mutual visibility to them: the robots must reposition themselves to reach a configuration where they all see each other. This…

Computational Geometry · Computer Science 2026-02-18 Rusul J. Alsaedi , Joachim Gudmundsson , André van Renssen
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