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This paper addresses the problem of Uniform Circle Formation by n > 1 transparent disc robots (fat robots). The robots execute repetitive cycles of the states look-compute-move in semi-synchronous manner where a set of robots execute the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-27 Moumita Mondal , Sruti Gan Chaudhuri

Arbitrary pattern formation ($\mathcal{APF}$) by mobile robots is studied by many in literature under different conditions and environment. Recently it has been studied on an infinite grid network but with full visibility. In opaque robot…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-09 Manash Kumar Kundu , Pritam Goswami , Satakshi Ghosh , Buddhadeb Sau

In this paper, we study the circle formation problem by multiple autonomous and homogeneous disc-shaped robots (also known as fat robots). The goal of the robots is to place themselves on the periphery of a circle. Circle formation has many…

Given a set of $n\geq 1$ unit disk robots in the Euclidean plane, we consider the Pattern Formation problem, i.e., the robots must reposition themselves to form a given target pattern. This problem arises under obstructed visibility, where…

Computational Geometry · Computer Science 2025-01-09 Rusul J. Alsaedi , Joachim Gudmundsson , André van Renssen

Arbitrary Pattern formation ($\mathcal{APF}$) by a swarm of mobile robots is a widely studied problem in the literature. Many works regarding $\mathcal{APF}$ have been proposed on plane and infinite grid by point robots. But in practical…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-01 Manash Kumar Kundu , Pritam Goswami , Satakshi Ghosh , Buddhadeb Sau

Arbitrary Pattern Formation is a widely studied problem in autonomous robot systems. The problem asks to design a distributed algorithm that moves a team of autonomous, anonymous and identical mobile robots to form any arbitrary pattern…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-08 Kaustav Bose , Ranendu Adhikary , Manash Kumar Kundu , Buddhadeb Sau

The Arbitrary Pattern Formation problem asks to design a distributed algorithm that allows a set of autonomous mobile robots to form any specific but arbitrary geometric pattern given as input. The problem has been extensively studied in…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-05 Kaustav Bose , Ranendu Adhikary , Manash Kumar Kundu , Buddhadeb Sau

This paper proposes a distributed algorithm for a set of tiny unit disc shaped robot to form a straight line. The robots are homoge- neous, autonomous, anonymous. They observe their surrounding up to a certain distance, compute destinations…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-27 Arijit Sil , Sruti Gan Chaudhuri

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 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

Gathering mobile robots is a widely studied problem in robotic research. This survey first introduces the related work, summarizing models and results. Then, the focus shifts on the open problem of gathering fat robots. In this context,…

Robotics · Computer Science 2011-11-10 Alberto Bandettini , Fabio Luporini , Giovanni Viglietta

This work deals with the Maximum Independent Set ($\mathcal{MIS}$) formation problem in a finite rectangular grid by autonomous robots. Suppose we are given a set of identical robots, where each robot is placed on a node of a finite…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-28 Raja Das , Avisek Sharma , Buddhadeb Sau

The Arbitrary Pattern Formation problem asks for a distributed algorithm that moves a set of autonomous mobile robots to form any arbitrary pattern given as input. The robots are assumed to be autonomous, anonymous and identical. They…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-08 Kaustav Bose , Manash Kumar Kundu , Ranendu Adhikary , Buddhadeb Sau

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

In this work we consider the problem of gathering autonomous robots in the plane. In particular, we consider non-transparent unit-disc robots (i.e., fat) in an asynchronous setting. Vision is the only mean of coordination. Using a…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-09-19 Chrysovalandis Agathangelou , Chryssis Georgiou , Marios Mavronicolas

An autonomous mobile robot system is a distributed system consisting of mobile computational entities (called robots) that autonomously and repeatedly perform three operations: Look, Compute, and Move. Various problems related to autonomous…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-16 Yonghwan Kim , Yoshiaki Katayama , Koichi Wada

We are given $N$ autonomous mobile robots inside a bounded region. The robots are opaque which means that three collinear robots are unable to see each other as one of the robots acts as an obstruction for the other two. They operate in…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-02 Subhajit Pramanick , Saswata Jana , Adri Bhattacharya , Partha Sarathi Mandal

Arbitrary pattern formation (\textsc{Apf}) is a well-studied problem in swarm robotics. To the best of our knowledge, the problem has been considered in two different settings: one in a euclidean plane and another in an infinite grid. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-29 Avisek Sharma , Satakshi Ghosh , Pritam Goswami , Buddhadeb Sau

The \textsc{Arbitrary Pattern Formation} (\textsc{Apf}) is a widely studied in distributed computing for swarm robots. This problem asks to design a distributed algorithm that allows a team of identical, autonomous mobile robots to form any…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-30 Satakshi Ghosh , Pritam Goswami , Avisek Sharma , Buddhadeb Sau

Arbitrary Pattern Formation (APF) is a fundamental coordination problem in swarm robotics. It requires a set of autonomous robots (mobile computing units) to form an arbitrary pattern (given as input) starting from any initial pattern. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-28 Avisek Sharma , Satakshi Ghosh , Pritam Goswami , Buddhadeb Sau
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