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math.CO2026
Blow-ups of order types of positive density
Ruy Fabila-Monroy, Benedikt Hahn, Jesús Leaños
Order types are an equivalence relation between point configurations that capture their combinatorial and convexity properties. Let be a -colored sequence of poi…
math.CO2025
Edge densities of drawings of graphs with one forbidden cell
Benedikt Hahn, Torsten Ueckerdt, Birgit Vogtenhuber
A connected topological drawing of a graph divides the plane into a number of cells. The type of a cell is the cyclic sequence of crossings and vertices along the boundary walk…