University of Pannonia

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19982026

most citedA fractionally ionic approach to polarizability and van der Waals many-body dispersion calculations

128 citations

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15 papers · 1 filter

math.MG2023

On optimal $λ$ -separable packings in the plane

Károly Bezdek, Zsolt Lángi

Let $P$ be a packing of circular disks of radius $ρ > 0$ in the Euclidean, spherical, or hyperbolic plane. Let $0 \leq λ \leq ρ$ . We say that $P$ is a $λ$ -separable p…

math.MG2022★ 7 cited

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 $S^{2}$ is called a totally separable packing in short, a TS-packing if any two spherical caps can be separated b…

math.MG2018

On the intrinsic volumes of intersections of congruent balls

Károly Bezdek

Let $E^{d}$ denote the $d$ -dimensional Euclidean space. The $r$ -ball body generated by a given set in $E^{d}$ is the intersection of balls of radius $r$ centered at…

math.MG2017★ 2 cited

On contact graphs of totally separable domains

Karoly Bezdek, Muhammad A. Khan, Michael Oliwa

Contact graphs have emerged as an important tool in the study of translative packings of convex bodies. The contact number of a packing of translates of a convex body is the number…

math.MG2017★ 1 cited

The Kneser--Poulsen conjecture for special contractions

Károly Bezdek, Márton Naszódi

The Kneser--Poulsen Conjecture states that if the centers of a family of $N$ unit balls in $E^{d}$ is contracted, then the volume of the union (resp., intersection) does no…

math.MG2016★ 13 cited

The geometry of homothetic covering and illumination

Karoly Bezdek, Muhammad A. Khan

At a first glance, the problem of illuminating the boundary of a convex body by external light sources and the problem of covering a convex body by its smaller positive homothetic…