2 papers
math.CO2024
The Density Formula: One Lemma to Bound Them All
Michael Kaufmann, Boris Klemz, Kristin Knorr +3
We introduce the Density Formula for (topological) drawings of graphs in the plane or on the sphere, which relates the number of edges, vertices, crossings, and sizes of cells in t…
math.CO2024
Topological Drawings meet Classical Theorems from Convex Geometry
Helena Bergold, Stefan Felsner, Manfred Scheucher +2
In this article we discuss classical theorems from Convex Geometry in the context of topological drawings and beyond. In a simple topological drawing of the complete graph , a…