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Nonuniform motion constraints are ubiquitous in robotic applications. Geofencing control is one such paradigm where the motion of a robot must be constrained within a predefined boundary. This paper addresses the problem of stabilizing a…

Robotics · Computer Science 2024-07-18 Shubham Singh , Anoop Jain

We investigate the problem of assembling general shapes and patterns in a model in which particles move based on uniform external forces until they encounter an obstacle. While previous work within this model of assembly has focused on…

We study the perfect matching reconfiguration problem: Given two perfect matchings of a graph, is there a sequence of flip operations that transforms one into the other? Here, a flip operation exchanges the edges in an alternating cycle of…

Data Structures and Algorithms · Computer Science 2019-04-15 Marthe Bonamy , Nicolas Bousquet , Marc Heinrich , Takehiro Ito , Yusuke Kobayashi , Arnaud Mary , Moritz Mühlenthaler , Kunihiro Wasa

Snake robots composed of alternating single-axis pitch and yaw joints have many internal degrees of freedom, which make them capable of versatile three-dimensional locomotion. In motion planning process, snake robot motions are often…

We consider algorithmic problems motivated by modular robotic reconfiguration in the sliding square model, in which we are given $n$ square-shaped modules in a (labeled or unlabeled) start configuration and need to find a schedule of…

Computational Geometry · Computer Science 2025-10-09 Hugo A. Akitaya , Sándor P. Fekete , Peter Kramer , Saba Molaei , Christian Rieck , Frederick Stock , Tobias Wallner

This paper introduces a cube-based reconfigurable robot that utilizes an electromagnet-based actuation framework to reconfigure in three dimensions via pivoting. While a variety of actuation mechanisms for self-reconfigurable robots have…

Robotics · Computer Science 2022-07-13 Martin Nisser , Leon Cheng , Yashaswini Makaram , Ryo Suzuki , Stefanie Mueller

Motivated by advances is nanoscale applications and simplistic robot agents, we look at problems based on using a global signal to move all agents when given a limited number of directional signals and immovable geometry. We study a model…

Computational Geometry · Computer Science 2020-03-31 David Caballero , Angel A. Cantu , Timothy Gomez , Austin Luchsinger , Robert Schweller , Tim Wylie

We implement and evaluate different methods for the reconfiguration of a connected arrangement of tiles into a desired target shape, using a single active robot that can move along the tile structure. This robot can pick up, carry, or drop…

This paper presents a novel modular robot system that can self-reconfigure to achieve omnidirectional movements for collaborative object transportation. Each robotic module is equipped with a steerable omni-wheel for navigation and is…

Robotics · Computer Science 2023-08-08 Meng Wang , Yao Su , Hang Li , Jiarui Li , Jixiang Liang , Hangxin Liu

Given a graph and two vertex sets satisfying a certain feasibility condition, a reconfiguration problem asks whether we can reach one vertex set from the other by repeating prescribed modification steps while maintaining feasibility. In…

Data Structures and Algorithms · Computer Science 2022-12-29 Tatsuya Gima , Takehiro Ito , Yasuaki Kobayashi , Yota Otachi

Modular small-scale robots offer the potential for on-demand assembly and disassembly, enabling task-specific adaptation in dynamic and constrained environments. However, existing modular magnetic platforms often depend on workspace…

Robotics · Computer Science 2026-02-24 Erik Garcia Oyono , Jialin Lin , Dandan Zhang

We study a model of programmable matter systems consisting of $n$ devices lying on a 2-dimensional square grid, which are able to perform the minimal mechanical operation of rotating around each other. The goal is to transform an initial…

Data Structures and Algorithms · Computer Science 2022-07-08 Matthew Connor , Othon Michail

Given a graph $G$ and two independent sets of $G$, the independent set reconfiguration problem asks whether one independent set can be transformed into the other by moving a single vertex at a time, such that at each intermediate step we…

Discrete Mathematics · Computer Science 2024-02-06 Valentin Bartier , Nicolas Bousquet , Moritz Mühlenthaler

In unlabeled multi-robot motion planning several interchangeable robots operate in a common workspace. The goal is to move the robots to a set of target positions such that each position will be occupied by some robot. In this paper, we…

Robotics · Computer Science 2015-04-21 Kiril Solovey , Dan Halperin

In the problem of multi-robot motion planning, a group of robots, placed in a polygonal domain with obstacles, must be moved from their starting positions to a set of target positions. We consider the specific case of unlabeled disc robots…

Computational Geometry · Computer Science 2020-04-28 Thomas Brocken , G. Wessel van der Heijden , Irina Kostitsyna , Lloyd E. Lo-Wong , Remco J. A. Surtel

The selection of mobility modes for robot navigation consists of various trade-offs. Snake robots are ideal for traversing through constrained environments such as pipes, cluttered and rough terrain, whereas bipedal robots are more suited…

Robotics · Computer Science 2021-07-05 Harshad Zade , Aadesh Varude , Karan Pandya , Ajinkya Kamat , Shital Chiddarwar , Rohan Thakker

We study the problem of deciding reconfigurability of target sets of a graph. Given a graph $G$ with vertex thresholds $\tau$, consider a dynamic process in which vertex $v$ becomes activated once at least $\tau(v)$ of its neighbors are…

Data Structures and Algorithms · Computer Science 2022-12-07 Naoto Ohsaka

This paper proposes a novel maneuvering technique for the complex-Laplacian-based formation control. We show how to modify the original weights that build the Laplacian such that a designed steady-state motion of the desired shape emerges…

Systems and Control · Electrical Eng. & Systems 2021-06-04 Hector Garcia de Marina

We consider the theoretical model of Crystalline robots, which have been introduced and prototyped by the robotics community. These robots consist of independently manipulable unit-square atoms that can extend/contract arms on each side and…

Computational Geometry · Computer Science 2009-08-19 Greg Aloupis , Sebastien Collette , Erik D. Demaine , Stefan Langerman , Vera Sacristan , Stefanie Wuhrer

The sliding square model is a widely used abstraction for studying self-reconfigurable robotic systems, where modules are square-shaped robots that move by sliding or rotating over one another. In this paper, we propose a novel distributed…

Computational Geometry · Computer Science 2025-09-15 Irina Kostitsyna , David Liedtke , Christian Scheideler