3 papers
cs.DM2026
Representing Piecewise-Linear Functions by Functions with Minimal Arity
Christoph Koutschan, Anton Ponomarchuk, Josef Schicho
Any continuous piecewise-linear function can be represented as a linear combination of functions of at most affine-linear functi…
math.CO2025
Irreducible components of sets of points in the plane that satisfy distance conditions
Niels Lubbes, Mehdi Makhul, Josef Schicho +1
For a given graph whose edges are labeled with general real numbers, we consider the set of functions from the vertex set into the Euclidean plane such that the distance between th…
math.MG2024
Pentagonal bipyramids lead to the smallest flexible embedded polyhedron
Matteo Gallet, Georg Grasegger, Jan Legerský +1
Steffen's polyhedron was believed to have the least number of vertices among polyhedra that can flex without self-intersections. Maksimov clarified that the pentagonal bipyramid wi…