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math.CO2022
Compatible Spanning Trees in Simple Drawings of
Oswin Aichholzer, Kristin Knorr, Wolfgang Mulzer +6
For a simple drawing of the complete graph , two (plane) subdrawings are compatible if their union is plane. Let be the set of all plane spanning trees on…
math.GT2022
Rotation systems and simple drawings in surfaces
Rosna Paul, Gelasio Salazar, Alexandra Weinberger
Every simple drawing of a graph in the plane naturally induces a rotation system, but it is easy to exhibit a rotation system that does not arise from a simple drawing in the plane…
cs.CG2022★ 1 cited
Flipping Plane Spanning Paths
Oswin Aichholzer, Kristin Knorr, Wolfgang Mulzer +3
Let be a planar point set in general position, and let be the set of all plane straight-line paths with vertex set . A flip on a path …