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We are interested in embedding trees T with maximum degree at most four in a rectangular grid, such that the vertices of T correspond to grid points, while edges of T correspond to non-intersecting straight segments of the grid lines. Such…

Combinatorics · Mathematics 2021-09-08 V. T. F. Luca , F. S. Oliveira , J. L. Szwarcfiter

We study the algorithmic problem of optimally covering a tree with $k$ mobile robots. The tree is known to all robots, and our goal is to assign a walk to each robot in such a way that the union of these walks covers the whole tree. We…

In robotics, coordinating a group of robots is an essential task. This work presents the communication-constrained multi-agent multi-goal path planning problem and proposes a graph-search based algorithm to address this task. Given a fleet…

Multiagent Systems · Computer Science 2024-12-19 Jáchym Herynek , Stefan Edelkamp

In this paper, we consider the automated planning of optimal paths for a robotic team satisfying a high level mission specification. Each robot in the team is modeled as a weighted transition system where the weights have associated…

Robotics · Computer Science 2015-03-13 Alphan Ulusoy , Stephen L. Smith , Calin Belta

Quadruped platforms have become an active topic of research due to their high mobility and traversability in rough terrain. However, it is highly challenging to determine whether the clattered environment could be passed by the robot and…

Robotics · Computer Science 2022-09-22 Ildar Babataev , Aleksey Fedoseev , Nipun Weerakkodi , Elena Nazarova , Dzmitry Tsetserukou

This article proposes a new path planning method for addressing multi-level terrain situations. The proposed method includes innovations in three aspects: 1) the pre-processing of point cloud maps with a multi-level skip-list structure and…

Robotics · Computer Science 2025-05-01 Yujie Tang , Quan Li , Hao Geng , Yangmin Xie , Hang Shi , Yusheng Yang

We study a question that lies at the intersection of classical research subjects in Topological Graph Theory and Graph Drawing: Computing a drawing of a graph with a prescribed number of crossings on a given set $S$ of points, while…

Computational Geometry · Computer Science 2025-08-27 Giuseppe Di Battista , Giuseppe Liotta , Maurizio Patrignani , Antonios Symvonis , Ioannis G. Tollis

Ground robots navigating in complex, dynamic environments must compute collision-free trajectories to avoid obstacles safely and efficiently. Nonconvex optimization is a popular method to compute a trajectory in real-time. However, these…

Robotics · Computer Science 2024-10-07 Oscar de Groot , Laura Ferranti , Dariu M. Gavrila , Javier Alonso-Mora

Legged robots, particularly quadrupeds, offer promising navigation capabilities, especially in scenarios requiring traversal over diverse terrains and obstacle avoidance. This paper addresses the challenge of enabling legged robots to…

Robotics · Computer Science 2023-10-12 Jianwei Liu , Shirui Lyu , Denis Hadjivelichkov , Valerio Modugno , Dimitrios Kanoulas

The area coverage problem is the task of efficiently servicing a given two-dimensional surface using sensors mounted on robots such as unmanned aerial vehicles (UAVs) and unmanned ground vehicles (UGVs). We present a novel formulation for…

Robotics · Computer Science 2022-08-23 Saurav Agarwal , Srinivas Akella

This paper introduces a graph-based, potential-guided method for path planning problems in unknown environments, where obstacles are unknown until the robots are in close proximity to the obstacle locations. Inspired by optimal transport…

Optimization and Control · Mathematics 2019-09-26 Haoyan Zhai , Magnus Egerstedt , Haomin Zhou

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-22 Subhash Bhagat , Abhinav Chakraborty , Bibhuti Das , Krishnendu Mukhopadhyaya

Motion Planning is necessary for robots to complete different tasks. Rapidly-exploring Random Tree (RRT) and its variants have been widely used in robot motion planning due to their fast search in state space. However, they perform not well…

Robotics · Computer Science 2022-05-19 Zhirui Sun , Jiankun Wang , Max Q. -H. Meng

We study the navigation problem for a robot moving amidst static and dynamic obstacles and rely on a hierarchical approach to solve it. First, the reference trajectory is planned by the safe interval path planning algorithm that is capable…

Robotics · Computer Science 2019-06-18 Konstantin Yakovlev , Anton Andreychuk , Juliya Belinskaya , Dmitry Makarov

Scalable multi-robot transition is essential for ubiquitous adoption of robots. As a step towards it, a computationally efficient decentralized algorithm for continuous-time trajectory optimization in multi-robot scenarios based upon model…

We study the Symmetric Rendezvous Search Problem for a multi-robot system. There are $n>2$ robots arbitrarily located on a line. Their goal is to meet somewhere on the line as quickly as possible. The robots do not know the initial location…

Robotics · Computer Science 2022-01-04 Deniz Ozsoyeller , Pratap Tokekar

Multi-robot teams have attracted attention from industry and academia for their ability to perform collaborative tasks in unstructured environments, such as wilderness rescue and collaborative transportation.In this paper, we propose a…

Robotics · Computer Science 2023-11-14 Liuao Pei , Junxiao Lin , Zhichao Han , Lun Quan , Yanjun Cao , Chao Xu , Fei Gao

An innovative sort of mobility platform that can both drive and fly is the air-ground robot. The need for an agile flight cannot be satisfied by traditional path planning techniques for air-ground robots. Prior studies had mostly focused on…

Robotics · Computer Science 2023-05-16 Xiaoyu Wang , Kangyao Huang , Xinyu Zhang , Honglin Sun , Wenzhuo Liu , Huaping Liu , Jun Li , Pingping Lu

Many exciting robotic applications require multiple robots with many degrees of freedom, such as manipulators, to coordinate their motion in a shared workspace. Discovering high-quality paths in such scenarios can be achieved, in principle,…

Robotics · Computer Science 2019-03-05 Rahul Shome , Kiril Solovey , Andrew Dobson , Dan Halperin , Kostas E. Bekris

Finding asymptotically-optimal paths in multi-robot motion planning problems could be achieved, in principle, using sampling-based planners in the composite configuration space of all of the robots in the space. The dimensionality of this…

Multiagent Systems · Computer Science 2017-07-05 Andrew Dobson , Kiril Solovey , Rahul Shome , Dan Halperin , Kostas E. Bekris