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In this work, we initiate the research about the Gathering problem for robots with limited viewing range in the three-dimensional Euclidean space. In the Gathering problem, a set of initially scattered robots is required to gather at the…

Computational Geometry · Computer Science 2020-05-18 Michael Braun , Jannik Castenow , Friedhelm Meyer auf der Heide

This paper develops an algorithm that guides a multi-robot system in an unknown environment in search of fixed targets. The area to be scanned contains an unknown number of convex obstacles of unknown size and shape. The algorithm covers…

Robotics · Computer Science 2012-02-13 Jonathan Rogge , Dirk Aeyels

This paper studies the gathering problem for a set of $N \ge 2$ autonomous mobile robots operating in the Euclidean plane under the distributed Look-Compute-Move model. We consider oblivious robots executing under the adversarial defected…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-09 Prakhar Shukla , Seshunadh Tanuj Peddinti , Subhash Bhagat

We consider a swarm of autonomous mobile robots each of which is an anonymous point in the three-dimensional Euclidean space (3D-space) and synchronously executes a common distributed algorithm. We investigate the pattern formation problem…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-25 Yukiko Yamauchi , Taichi Uehara , Masafumi Yamashita

\textsc{Arbitrary Pattern Formation} is a fundamental problem in autonomous mobile robot systems. The problem asks to design a distributed algorithm that moves a team of autonomous, anonymous and identical mobile robots to form any…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-17 Kaustav Bose , Archak Das , Buddhadeb Sau

We study the \textit{min-sum uniform coverage} problem for a swarm of $n$ mobile robots on a given finite line segment and on a circle having finite positive radius, where the circle is given as an input. The robots must coordinate their…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-12 Animesh Maiti , Abhinav Chakraborty , Bibhuti Das , Subhash Bhagat , Krishnendu Mukhopadhyaya

We study the Symmetric Rendezvous Search Problem for a multi-robot system. There are $n>2$ robots arbitrarily located on a line. Their goal is to meet somewhere on the line as quickly as possible. The robots do not know the initial location…

Robotics · Computer Science 2022-01-04 Deniz Ozsoyeller , Pratap Tokekar

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

Given a set of $n\geq 1$ autonomous, anonymous, indistinguishable, silent, and possibly disoriented mobile unit disk (i.e., fat) robots operating following Look-Compute-Move cycles in the Euclidean plane, we consider the Pattern Formation…

Computational Geometry · Computer Science 2025-03-20 Rusul J. Alsaedi , Joachim Gudmundsson , André van Renssen

We investigate gathering algorithms for asynchronous autonomous mobile robots moving in uniform ring-shaped networks. Different from most work using the Look-Compute-Move (LCM) model, we assume that robots have limited visibility and…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-13 Sayaka Kamei , Anissa Lamani , Fukuhito Ooshita , Sébastien Tixeuil , Koichi Wada

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

We study the Rendezvous problem for 2 autonomous mobile robots in asynchronous settings with persistent memory called light. It is well known that Rendezvous is impossible in a basic model when robots have no lights, even if the system is…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-05 Takashi Okumura , Koichi Wada , Xavier Défago

We study the {\sc Uniform Circle Formation} ({\sc UCF}) problem for a swarm of $n$ autonomous mobile robots operating in \emph{Look-Compute-Move} (LCM) cycles on the Euclidean plane. We assume our robots are \emph{luminous}, i.e. embedded…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-13 Caterina Feletti , Debasish Pattanayak , Gokarna Sharma

Anonymous mobile robots are often classified into synchronous, semi-synchronous and asynchronous robots when discussing the pattern formation problem. For semi-synchronous robots, all patterns formable with memory are also formable without…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-11-08 Taisuke Izumi , Samia Souissi , Yoshiaki Katayama , Nobuhiro Inuzuka , Xavier Défago , Koichi Wada , Masafumi Yamashita

We consider a swarm of mobile robots evolving in a bidimensional Euclidean space. We study a variant of the crash-tolerant gathering problem: if no robot crashes, robots have to meet at the same arbitrary location, not known beforehand, in…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-08 Quentin Bramas , Anissa Lamani , Sébastien Tixeuil

In the arbitrary pattern formation problem, $n$ autonomous, mobile robots must form an arbitrary pattern $P \subseteq \mathbb{R}^2$. The (deterministic) robots are typically assumed to be indistinguishable, disoriented, and unable to…

Robotics · Computer Science 2024-04-05 Christopher Hahn , Jonas Harbig , Peter Kling

We study a recently introduced \textit{unconscious} mobile robot model, where each robot is associated with a \textit{color}, which is visible to other robots but not to itself. The robots are autonomous, anonymous, oblivious and silent,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-28 Prajyot Pyati , Navjot Kaur , Saswata Jana , Adri Bhattacharya , Partha Sarathi Mandal

Gathering is a fundamental coordination problem in swarm robotics, where the objective is to bring robots together at a point not known to them at the beginning. While most research focuses on continuous domains, some studies also examine…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-17 Abhinav Chakraborty , Pritam Goswami , Satakshi Ghosh

We study the rendezvous problem for two robots moving in the plane (or on a line). Robots are autonomous, anonymous, oblivious, and carry colored lights that are visible to both. We consider deterministic distributed algorithms in which…

Multiagent Systems · Computer Science 2012-11-28 Giovanni Viglietta

Consider a group of autonomous mobile computational entities called robots. The robots move in the Euclidean plane and operate according to synchronous $Look$-$Compute$-$Move$ cycles. The computational capabilities of the robots under the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-04 Archak Das , Satakshi Ghosh , Avisek Sharma , Pritam Goswami , Buddhadeb Sau