43 citations · 169 across the 34 of their papers we have counts for
42 papers
On a Blaschke-Santaló-type inequality for -ball bodies
Károly Bezdek
Let denote the -dimensional Euclidean space. The -ball body generated by a given set in is the intersection of balls of radius centered at…
On optimal -separable packings in the plane
Károly Bezdek, Zsolt Lángi
Let be a packing of circular disks of radius in the Euclidean, spherical, or hyperbolic plane. Let . We say that is a -separable p…
Illuminating spiky balls and cap bodies
Károly Bezdek, Ilya Ivanov, Cameron Strachan
The convex hull of a ball with an exterior point is called a spike (or cap). A union of finitely many spikes of a ball is called a spiky ball. If a spiky ball is convex, then we ca…
From the separable Tammes problem to extremal distributions of great circles in the unit sphere
Károly Bezdek, Zsolt Lángi
A family of spherical caps of the 2-dimensional unit sphere is called a totally separable packing in short, a TS-packing if any two spherical caps can be separated b…
On a strengthening of the Blaschke-Leichtweiss theorem
Károly Bezdek
The Blaschke-Leichtweiss theorem (Abh. Math. Sem. Univ. Hamburg 75: 257-284, 2005) states that the smallest area convex domain of constant width in the -dimensional spherica…
On contact numbers of locally separable unit sphere packings
Károly Bezdek
The contact number of a packing of finitely many balls in Euclidean -space is the number of touching pairs of balls in the packing. A prominent subfamily of sphere packings is f…