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math.CO2023
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…
math.CO2023
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-…
math.CO2023
An extension theorem for signotopes
Helena Bergold, Stefan Felsner, Manfred Scheucher
In 1926, Levi showed that, for every pseudoline arrangement and two points in the plane, can be extended by a pseudoline which contains the two prescrib…