4 papers
Flip Graph Connectivity for Arrangements of Pseudolines and Pseudocircles
Yan Alves Radtke, Stefan Felsner, Johannes Obenaus +3
Flip graphs of combinatorial and geometric objects are at the heart of many deep structural insights and connections between different branches of discrete mathematics and computer…
Bichromatic Perfect Matchings with Crossings
Oswin Aichholzer, Stefan Felsner, Rosna Paul +2
We consider bichromatic point sets with red and blue points and study straight-line bichromatic perfect matchings on them. We show that every such point set in convex posit…
Using SAT to study plane Hamiltonian substructures in simple drawings
Helena Bergold, Stefan Felsner, Meghana M. Reddy +1
In 1988 Rafla conjectured that every simple drawing of a complete graph contains a plane, i.e., non-crossing, Hamiltonian cycle. The conjecture is far from being resolved. Th…
Roudneff's Conjecture in Dimension
Rangel Hernández-Ortiz, Kolja Knauer, Luis Pedro Montejano +1
J.-P. Roudneff conjectured in 1991 that every arrangement of pseudohyperplanes in the real projective space has at most $\sum_{i=0}^{d-2} \binom{n-…