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cs.CG2025

Efficient Reconfiguration of Tile Arrangements by a Single Active Robot

Aaron T. Becker, Sándor P. Fekete, Jonas Friemel +6

We consider the problem of reconfiguring a two-dimensional connected grid arrangement of passive building blocks from a start configuration to a goal configuration, using a single…

cs.CG2025

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…

cs.CG2025

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…

cs.CG2024

Coordinated Motion Planning: Multi-Agent Path Finding in a Densely Packed, Bounded Domain

Sándor P. Fekete, Ramin Kosfeld, Peter Kramer +3

We study Multi-Agent Path Finding for arrangements of labeled agents in the interior of a simply connected domain: Given a unique start and target position for each agent, the goal…

cs.CG2024

Dispersive Vertex Guarding for Simple and Non-Simple Polygons

Sándor P. Fekete, Joseph S. B. Mitchell, Christian Rieck +2

We study the Dispersive Art Gallery Problem with vertex guards: Given a polygon , with pairwise geodesic Euclidean vertex distance of at least , and a rational numb…