most citedBall packings in hyperbolic space

1 citations · 1 across the 6 of their papers we have counts for

collaborators

8 papers

math.MG2022

Multiple arrangements

Gábor Fejes Tóth

This paper surveys the theory of multiple packings and coverings. The study of multiple arrangements started in the 60s of the last century, and it was restricted mostly to lattice…

math.MG2022

Packing and covering properties of sequences of convex bodies

Gábor Fejes Tóth

This paper suveys different variants of the following problem: Given a convex set and a sequence of convex bodies in , is it possible to pack the sequence of bod…

math.MG2022

Miscellaneous problems about packing and covering

Gábor Fejes Tóth, László Fejes Tóth, Włodzimierz Kuperberg

In this paper we discuss various special problems on packing and covering. Among others we survey the problems and results concerning finite arrangements, Minkowskian, saturated, c…

math.MG2022

Packing and covering in higher dimensions

Gábor Fejes Tóth

The present work surveys problems in -dimensional space with large. Early development in the study of packing and covering in high dimensions was motivated by the geometry o…

math.MG2022

Neighbors

Gábor Fejes Tóth, Lázló Fejes Tóth, Włodzimierz Kuperberg

Two members of a packing are neighbors if they have a common boundary point. A multitude of problems arises in connection with neighbors in a packing. The oldest one concerns a dis…

math.MG20221 cited

Ball packings in hyperbolic space

Gábor Fejes Tóth, Lázló Fejes Tóth, Włodzimierz. Kuperberg

In hyperbolic space density cannot be defined by a limit as we define it in Euclidean space. We describe the local density bounds for sphere packings and we discuss the different a…