8 papers
Pass the Bucket: Efficient, Robust, Local Load Balancing for Teams of Heterogeneous Robots
Tobias Wallner, Dominik Krupke, Arne Schmidt +1
We study the problem of decentralized, self-organized task sharing for a swarm of heterogeneous robots that collaborate in transportation or other objectives that require coordinat…
Central Triangulation under Parallel Flip Operations: The CG:SHOP Challenge 2026
Oswin Aichholzer, Joseph Dorfer, Sándor P. Fekete +3
We give an overview of the 2026 Computational Geometry Challenge targeting the problem of finding a Central Triangulation under Parallel Flip Operations in triangulations of point…
Tilt Automata: Gathering Particles With Uniform External Control
Sándor P. Fekete, Jonas Friemel, Peter Kramer +3
Motivated by targeted drug delivery, we investigate the gathering of particles in the full tilt model of externally controlled motion planning: A set of particles is located at the…
Moving Matter: Using a Single, Simple Robot to Reconfigure a Connected Set of Building Blocks
Javier Garcia, Jonas Friemel, Ramin Kosfeld +9
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…
Guarding Offices with Maximum Dispersion
Sándor P. Fekete, Kai Kobbe, Dominik Krupke +3
We investigate the Dispersive Art Gallery Problem with vertex guards and rectangular visibility (-visibility) for a class of orthogonal polygons that reflect the properties of r…
Drainability and Fillability of Polyominoes in Diverse Models of Global Control
Sándor P. Fekete, Peter Kramer, Jan-Marc Reinhardt +2
Tilt models offer intuitive and clean definitions of complex systems in which particles are influenced by global control commands. Despite a wide range of applications, there has b…