Showing 2019Show all
2 papers · 1 filter
math.MG2019
Colorful Helly-type Theorems for the Volume of Intersections of Convex Bodies
Gábor Damásdi, Viktória Földvári, Márton Naszódi
We prove the following Helly-type result. Let be finite families of convex bodies in . Assume that for any colorful selection o…
math.CO2019
Triangle areas in line arrangements
Gábor Damásdi, Leonardo Martínez-Sandoval, Dániel T. Nagy +1
A widely investigated subject in combinatorial geometry, originated from Erdős, is the following. Given a point set of cardinality in the plane, how can we describe the dis…