Showing 2024Show all
3 papers · 1 filter
math.MG2024
Selected topics from the theory of intersections of balls
Károly Bezdek, Zsolt Lángi, Márton Naszódi
In this survey, we discuss volumetric and combinatorial results concerning (mostly finite) intersections or unions of balls (mostly of equal radii) in the -dimensional real vect…
math.MG2024
On separability in discrete geometry
Károly Bezdek, Zsolt Lángi
A problem of Erdős (Amer. Math. Monthly 52: 494-498, 1945) and a theorem of Fejes Tóth and Fejes Tóth (Acta Math. Acad. Sci. Hungar. 24: 229-232, 1973) initiated the study of non-s…
math.MG2024
Density bounds for unit ball packings relative to their outer parallel domains
Károly Bezdek, Zsolt Lángi
We prove that the highest density of non-overlapping translates of a given centrally symmetric convex domain relative to its outer parallel domain of given outer radius is attained…