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cs.CG2026
The Inverse Mapper Problem for Two-Dimensional Data
Robin Belton, Patrick Schnider
The Mapper algorithm is a popular graphical tool for data visualization and exploration in topological data analysis (TDA). It takes as input a data set and returns a graph tha…
cs.CG2026
Bowties and Hourglasses: Intersections of Double-Wedges (or Stabbing and Avoiding Line Segments)
Daniel Bertschinger, Henry Förster, Fabian Klute +3
We study the common intersection of arrangements of double-wedges. We consider arrangements where double-wedges may be either bowties (which do not contain a vertical line) or hour…
cs.CG2026
Garment numbers of bi-colored point sets in the plane
Oswin Aichholzer, Helena Bergold, Simon D. Fink +3
We consider colored variants of a class of geometric-combinatorial questions on -gons and empty -gons that have been started around 1935 by Erdős and Szekeres. In our setting…