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We consider a collection of $k \geq 2$ robots that evolve in a ring-shaped network without common orientation, and address a variant of the crash-tolerant gathering problem called the \emph{Stand-Up Indulgent Gathering} (SUIG): given a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-23 Quentin Bramas , Sayaka Kamei , Anissa Lamani , Sébastien Tixeuil

Aggregation is a fundamental behavior for swarm robotics that requires a system to gather together in a compact, connected cluster. In 2014, Gauci et al. proposed a surprising algorithm that reliably achieves swarm aggregation using only a…

Robotics · Computer Science 2021-08-24 Joshua J. Daymude , Noble C. Harasha , Andréa W. Richa , Ryan Yiu

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

In the field of distributed computing by robot swarms, the research comprehends manifold models where robots operate in the Euclidean plane through a sequence of look-compute-move cycles. Models under study differ for (i) the possibility of…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-31 Caterina Feletti , Lucia Mambretti , Carlo Mereghetti , Beatrice Palano

The traditional distributed model of autonomous, homogeneous, mobile point robots usually assumes that the robots do not create any visual obstruction for the other robots, i.e., the robots are see through. In this paper, we consider a…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-08-12 S. Bhagat , S. Gan Chaudhuri , K. Mukhopadhyaya

The gathering over meeting nodes problem requires the robots to gather at one of the pre-defined meeting nodes. This paper investigates the problem with respect to the objective function that minimizes the total number of moves made by all…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-16 Subhash Bhagat , Abhinav Chakraborty , Bibhuti Das , Krishnendu Mukhopadhyaya

We consider the classical problem of making mobile processes gather or converge at a same position (as performed by swarms of animals in Nature). Existing works assume that each process can see all other processes, or all processes within a…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-17 Rachid Guerraoui , Alexandre Maurer

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

The paper details the first successful attempt at using model-checking techniques to verify the correctness of distributed algorithms for robots evolving in a \emph{continuous} environment. The study focuses on the problem of rendezvous of…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-24 Xavier Défago , Adam Heriban , Sébastien Tixeuil , Koichi Wada

Understanding the computational power of mobile robot systems is a fundamental challenge in distributed computing. While prior work has focused on pairwise separations between models, we explore how robot capabilities, light observability,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-12 Shota Naito , Tsukasa Ninomiya , Koichi Wada

Robots with very limited capabilities are placed on the vertices of a graph and are required to move toward a single, common vertex, where they remain stationary once they arrive. This task is referred to as the GATHERING problem. Most of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-10 Alfredo Navarra , Francesco Piselli

We study the computational power that oblivious robots operating in the plane have under sequential schedulers. We show that this power is much stronger than the obvious capacity these schedulers offer of breaking symmetry, and thus to…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-06 Paola Flocchini , Alfredo Navarra , Debasish Pattanayak , Francesco Piselli , Nicola Santoro

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

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

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

We consider a variant of the crash-fault gathering problem called stand-up indulgent gathering (SUIG). In this problem, a group of mobile robots must eventually gather at a single location, which is not known in advance. If no robots crash,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-13 Quentin Bramas , Sayaka Kamei , Anissa Lamani , Sébastien Tixeuil

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

Two fundamental problems of distributed computing are Gathering and Arbitrary pattern formation (\textsc{Apf}). These two tasks are different in nature as in gathering robots meet at a point but in \textsc{Apf} robots form a fixed pattern…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-28 Satakshi Ghosh , Avisek Sharma , Pritam Goswami , Buddhadeb Sau

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

In their seminal work, Gauci et al. (2014) studied the fundamental task of aggregation, wherein multiple robots need to gather without an a priori agreed-upon meeting location, using minimal hardware. That paper considered…

Robotics · Computer Science 2025-01-03 Roy Steinberg , Kiril Solovey