43 citations · 169 across the 34 of their papers we have counts for
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math.MG2014★ 7 cited
Density bounds for outer parallel domains of unit ball packings
Karoly Bezdek, Zsolt Langi
We give upper bounds for the density of unit ball packings relative to their outer parallel domains and discuss their connection to contact numbers. Also, packings of soft balls ar…
math.MG2014★ 43 cited
Plank theorems via successive inradii
Karoly Bezdek
In the 1930's, Tarski introduced his plank problem at a time when the field discrete geometry was about to born. It is quite remarkable that Tarski's question and its variants cont…
math.MG2014
Spindle Starshaped Sets
Karoly Bezdek, Marton Naszodi
In this paper, spindle starshaped sets are introduced and investigated, which apart from normalization form an everywhere dense subfamily within the family of starshaped sets. We f…