3 papers
math.CO2026
Strong invariants and Tverberg numbers in convexity spaces
Minho Cho, Andreas F. Holmsen, Attila Jung +1
Helly, Carathéodory, and Radon numbers encode three kinds of finite certificates in a convexity space: for the emptiness of an intersection, for membership in a convex hull, and fo…
math.CO2024
Colorful fractional Helly theorem via weak saturation
Debsoumya Chakraborti, Minho Cho, Jinha Kim +1
Two celebrated extensions of the classical Helly's theorem are the fractional Helly theorem and the colorful Helly theorem. Bulavka, Goodarzi, and Tancer recently established the o…
math.CO2023
Transversal numbers of stacked spheres
Minho Cho, Jinha Kim
A stacked -sphere is the boundary complex of a stacked -ball, which is obtained by taking cone over a free -face repeatedly from a -simplex. A stacked spher…