1 citations · 1 across the 11 of their papers we have counts for
6 papers · 2 filters
A Sublinear Approximation Algorithm for Minimum Dilation Trees in the Plane
Sarita de Berg, Jacobus Conradi, Peter Kramer +2
The dilation of a geometric graph measures how much longer the path between pairs of points becomes when restricted to graph edges, rather than following the direct path through th…
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…
Minimum Exposure Motion Planning
Sarita de Berg, Joachim Gudmundsson, Peter Kramer +2
We investigate multiple fundamental variants of the classic coordinated motion planning (CMP) problem for unit square robots in the plane under the metric. In coordinated mot…
Sliding Cubes in Parallel
Hugo A. Akitaya, Joseph Dorfer, Peter Kramer +3
We study the classic sliding cube model for programmable matter under parallel reconfiguration in three dimensions, providing novel algorithmic and surprising complexity results in…
Structural Properties of Shortest Flip Sequences Between Plane Spanning Trees
Oswin Aichholzer, Joseph Dorfer, Peter Kramer +2
We study the reconfiguration of plane spanning trees on point sets in the plane in convex position, where a reconfiguration step (flip) replaces one edge with another, yielding aga…
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…