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We consider a swarm of $n$ autonomous mobile robots, distributed on a 2-dimensional grid. A basic task for such a swarm is the gathering process: All robots have to gather at one (not predefined) place. A common local model for extremely…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-04 Matthias Fischer , Daniel Jung , Friedhelm Meyer auf der Heide

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 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

The problem of gathering multiple mobile robots to a single location, is one of the fundamental problems in distributed coordination between autonomous robots. The problem has been studied and solved even for robots that are anonymous,…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-07-03 Zohir Bouzid , Shantanu Das , Sébastien Tixeuil

An autonomous mobile robot system consisting of many mobile computational entities (called robots) attracts much attention of researchers, and to clarify the relation between the capabilities of robots and solvability of the problems is an…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-18 Yonghwan Kim , Masahiro Shibata , Yuichi Sudo , Junya Nakamura , Yoshiaki Katayama , Toshimitsu Masuzawa

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

We consider a distributed system consisting of autonomous mobile computing entities, called robots, moving in a specified space. The robots are anonymous, oblivious, and have neither any access to the global coordinate system nor any…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-22 Yusaku Tomita , Yukiko Yamauchi , Shuji Kijima , Masafumi Yamashita

We present an algorithm that ensures in finite time the gathering of two robots in the non-rigid ASYNC model. To circumvent established impossibility results, we assume robots are equipped with 2-colors lights and are able to measure…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-22 Adam Heriban , Xavier Défago , Sébastien Tixeuil

In this paper, we consider the gathering problem of seven autonomous mobile robots on triangular grids. The gathering problem requires that, starting from any connected initial configuration where a subgraph induced by all robot nodes…

Robotics · Computer Science 2021-03-16 Masahiro Shibata , Masaki Ohyabu , Yuichi Sudo , Junya Nakamura , Yonghwan Kim , Yoshiaki Katayama

In this paper, we propose a distributed algorithm to uniformly scatter the robots along a grid, with robots on alternate nodes of this grid distribution. These homogeneous, autonomous mobile robots place themselves equidistant apart on the…

Robotics · Computer Science 2020-12-15 Moumita Mondal , Sruti Gan Chaudhuri , Punyasha Chatterjee

A swarm of anonymous oblivious mobile robots, operating in deterministic Look-Compute-Move cycles, is confined within a circular track. All robots agree on the clockwise direction (chirality), they are activated by an adversarial…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-19 Giuseppe A. Di Luna , Ryuhei Uehara , Giovanni Viglietta , Yukiko Yamauchi

The Gathering problem for a swarm of robots asks for a distributed algorithm that brings such entities to a common place, not known in advance. We consider the well-known OBLOT model with robots constrained to move along the edges of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-09 Serafino Cicerone , Alessia Di Fonso , Gabriele Di Stefano , Alfredo Navarra

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

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

Leader Election is an important primitive for programmable matter, since it is often an intermediate step for the solution of more complex problems. Although the leader election problem itself is well studied even in the specific context of…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-19 Jérémie Chalopin , Shantanu Das , Maria Kokkou

In the field of swarm robotics, one of the most studied problem is Gathering. It asks for a distributed algorithm that brings the robots to a common location, not known in advance. We consider the case of robots constrained to move along…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-12 Serafino Cicerone , Alessia Di Fonso , Gabriele Di Stefano , Alfredo Navarra

We consider the problem of organizing a scattered group of $n$ robots in two-dimensional space, with geometric maximum distance $D$ between robots. The communication graph of the swarm is connected, but there is no central authority for…

Robotics · Computer Science 2015-05-13 Dominik Krupke , Michael Hemmer , James McLurkin , Yu Zhou , Sandor P. Fekete

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

A set of mobile robots (represented as points) is distributed in the Cartesian plane. The collection contains an unknown subset of byzantine robots which are indistinguishable from the reliable ones. The reliable robots need to gather,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-12-08 Jurek Czyzowicz , Ryan Killick , Evangelos Kranakis , Danny Krizanc , Oscar Morale-Ponce

We study the Gathering problem for n autonomous mobile robots in semi-synchronous settings with persistent memory called light. It is well known that Gathering is impossible in a basic model when robots have no lights, if the system is…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-30 Satoshi Terai , Koichi Wada , Yoshiaki Katayama