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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…

分布式、并行与集群计算 · 计算机科学 2025-11-12 Serafino Cicerone , Alessia Di Fonso , Gabriele Di Stefano , Alfredo Navarra

This work presents a 3D multi-robot exploration framework for a team of UGVs moving on uneven terrains. The framework was designed by casting the two-level coordination strategy presented in [1] into the context of multi-robot exploration.…

机器人学 · 计算机科学 2023-07-10 Luigi Freda , Tiago Novo , David Portugal , Rui P. Rocha

The general position problem in graphs is to find the maximum number of vertices that can be selected such that no three vertices lie on a common shortest path. The mutual-visibility problem in graphs is to find the maximum number of…

组合数学 · 数学 2025-12-10 Dhanya Roy , Sandi Klavžar , Aparna Lakshmanan

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…

计算几何 · 计算机科学 2026-02-18 Rusul J. Alsaedi , Joachim Gudmundsson , André van Renssen

We study the computational complexity of optimally solving multi-robot path planning problems on planar graphs. For four common time- and distance-based objectives, we show that the associated path optimization problems for multiple robots…

机器人学 · 计算机科学 2015-12-08 Jingjin Yu

The dispersion problem on graphs requires $k$ robots placed arbitrarily at the $n$ nodes of an anonymous graph, where $k \leq n$, to coordinate with each other to reach a final configuration in which each robot is at a distinct node of the…

分布式、并行与集群计算 · 计算机科学 2018-06-01 Ajay D. Kshemkalyani , Faizan Ali

The fully dynamic transitive closure problem asks to maintain reachability information in a directed graph between arbitrary pairs of vertices, while the graph undergoes a sequence of edge insertions and deletions. The problem has been…

数据结构与算法 · 计算机科学 2020-02-04 Kathrin Hanauer , Monika Henzinger , Christian Schulz

Machine learning problems have an intrinsic geometric structure as central objects including a neural network's weight space and the loss function associated with a particular task can be viewed as encoding the intrinsic geometry of a given…

机器学习 · 计算机科学 2021-06-08 Guruprasad Raghavan , Matt Thomson

The gathering over meeting nodes problem asks the robots to gather at one of the pre-defined meeting nodes. The robots are deployed on the nodes of an anonymous two-dimensional infinite grid which has a subset of nodes marked as meeting…

分布式、并行与集群计算 · 计算机科学 2023-06-22 Subhash Bhagat , Abhinav Chakraborty , Bibhuti Das , Krishnendu Mukhopadhyaya

The 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 the graph. This…

分布式、并行与集群计算 · 计算机科学 2019-09-05 Ajay D. Kshemkalyani , Anisur Rahaman Molla , Gokarna Sharma

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…

分布式、并行与集群计算 · 计算机科学 2019-04-30 Ajay D. Kshemkalyani , Anisur Rahaman Molla , Gokarna Sharma

This paper studies a class of multi-robot coordination problems where a team of robots aim to reach their goal regions with minimum time and avoid collisions with obstacles and other robots. A novel numerical algorithm is proposed to…

最优化与控制 · 数学 2020-09-02 Guoxiang Zhao , Minghui Zhu

The concept of mutual visibility in graphs, introduced recently, addresses a fundamental problem in Graph Theory concerning the identification of the largest set of vertices in a graph such that any two vertices have a shortest path…

组合数学 · 数学 2024-08-09 M. Cera , P. Garcia-Vazquez , J. C. Valenzuela-Tripodoro , I. G. Yero

Given a two-dimensional polygonal space, the multi-robot visibility-based pursuit-evasion problem tasks several pursuer robots with the goal of establishing visibility with an arbitrarily fast evader. The best known complete algorithm for…

机器人学 · 计算机科学 2021-04-12 Trevor Olsen , Anne M. Tumlin , Nicholas M. Stiffler , Jason M. O'Kane

This paper presents a coordination algorithm for mobile autonomous robots. Relying upon distributed sensing the robots achieve rendezvous, that is, they move to a common location. Each robot is a point mass moving in a nonconvex environment…

机器人学 · 计算机科学 2007-05-23 Anurag Ganguli , Jorge Cortes , Francesco Bullo

The shortest path problem is related to many dynamic processes on networks, ranging from routing in communication networks to signaling in molecular interaction networks. When the network is fully known, the shortest path problem can be…

物理与社会 · 物理学 2026-02-05 Zhihao Qiu , Sámuel G. Balogh , Xinhan Liu , Piet Van Mieghem , Maksim Kitsak

We study a fundamental NP-hard motion coordination problem for multi-robot/multi-agent systems: We are given a graph $G$ and set of agents, where each agent has a given directed path in $G$. Each agent is initially located on the first…

机器人学 · 计算机科学 2023-03-02 Mikkel Abrahamsen , Tzvika Geft , Dan Halperin , Barak Ugav

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…

分布式、并行与集群计算 · 计算机科学 2024-10-17 Abhinav Chakraborty , Pritam Goswami , Satakshi Ghosh

We address multi-robot geometric task-and-motion planning (MR-GTAMP) problems in synchronous, monotone setups. The goal of the MR-GTAMP problem is to move objects with multiple robots to goal regions in the presence of other movable…

机器人学 · 计算机科学 2022-10-18 Hejia Zhang , Shao-Hung Chan , Jie Zhong , Jiaoyang Li , Sven Koenig , Stefanos Nikolaidis

Multiple mobile robots play a significant role in various spatially distributed tasks.In unfamiliar and non-repetitive scenarios, reconstructing the global map is time-inefficient and sometimes unrealistic. Hence, research has focused on…

机器人学 · 计算机科学 2025-12-29 Weining Lu , Qingquan Lin , Litong Meng , Chenxi Li , Bin Liang