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A graph environment must be explored by a collection of mobile robots. Some of the robots, a priori unknown, may turn out to be unreliable. The graph is weighted and each node is assigned a deadline. The exploration is successful if each…

Data Structures and Algorithms · Computer Science 2017-10-03 Jurek Czyzowicz , Maxime Godon , Evangelos Kranakis , Arnaud Labourel , Euripides Markou

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

The problem of coordination without a priori information about the environment is important in robotics. Applications vary from formation control to search and rescue. This paper considers the problem of search by a group of solitary…

Robotics · Computer Science 2019-05-28 Jordan F. Masakuna , Simukai W. Utete , Steve Kroon

In the dispersion problem, a set of $k$ co-located mobile robots must relocate themselves in distinct nodes of an unknown network. The network is modeled as an anonymous graph $G=(V,E)$, where the nodes of the graph are not labeled. The…

Data Structures and Algorithms · Computer Science 2022-02-14 Barun Gorain , Partha Sarathi Mandal , Kaushik Mondal , Supantha Pandit

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

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

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

In this report, we try to improve the performance of existing approaches for search operations in multi-robot context. We propose three novel algorithms that are using a triangular grid pattern, i.e., robots certainly go through the…

Robotics · Computer Science 2016-05-17 Ahmad Baranzadeh

Moving an autonomous agent through an unknown environment is one of the crucial problems for robotics and network analysis. Therefore, it received a lot of attention in the last decades and was analyzed in many different settings. The graph…

Computational Complexity · Computer Science 2018-04-23 Hans-Joachim Böckenhauer , Janosch Fuchs , Walter Unger

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

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 consider the problem of formation of a series of geometric patterns [4] by a network of oblivious mobile robots that communicate only through vision. So far, the problem has been studied in models where robots are either…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-05-31 Zohir Bouzid , Anissa Lamani

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

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

The mobile robot dispersion problem on graphs asks $k\leq n$ robots placed initially arbitrarily on the nodes of an $n$-node anonymous graph to reposition autonomously to reach a configuration in which each robot is on a distinct node of…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-30 Ajay D. Kshemkalyani , Anisur Rahaman Molla , Gokarna Sharma

For a set of robots (or agents) moving in a graph, two properties are highly desirable: confidentiality (i.e., a message between two agents must not pass through any intermediate agent) and efficiency (i.e., messages are delivered through…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-30 Sahar Badri , Serafino Cicerone , Alessia Di Fonso , Gabriele Di Stefano

Given a set of co-located mobile robots in an unknown anonymous graph, the robots must relocate themselves in distinct graph nodes to solve the dispersion problem. In this paper, we consider the dispersion problem for silent robots…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-13 Bibhuti Das , Barun Gorain , Kaushik Mondal , Krishnendu Mukhopadhyaya , Supantha Pandit

In this paper, we solve the local gathering problem of a swarm of $n$ indistinguishable, point-shaped robots on a two dimensional grid in asymptotically optimal time $\mathcal{O}(n)$ in the fully synchronous $\mathcal{FSYNC}$ time model.…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-11 Andreas Cord-Landwehr , Matthias Fischer , Daniel Jung , Friedhelm Meyer auf der Heide

This paper considers the collaborative graph exploration problem in GPS-denied environments, where a group of robots are required to cover a graph environment while maintaining reliable pose estimations in collaborative simultaneous…

Robotics · Computer Science 2024-07-02 Ruofei Bai , Shenghai Yuan , Hongliang Guo , Pengyu Yin , Wei-Yun Yau , Lihua Xie

The aim of the dispersion problem is to place a set of $k(\leq n)$ mobile robots in the nodes of an unknown graph consisting of $n$ nodes such that in the final configuration each node contains at most one robot, starting from any arbitrary…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-13 Tanvir Kaur , Kaushik Mondal