43 citations · 169 across the 34 of their papers we have counts for
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From the Kneser-Poulsen conjecture to ball-polyhedra
Karoly Bezdek
A very fundamental geometric problem on finite systems of spheres was independently phrased by Kneser (1955) and Poulsen (1954). According to their well-known conjecture if a finit…
Covering convex bodies by cylinders and lattice points by flats
Karoly Bezdek, Alexander Litvak
In connection with an unsolved problem of Bang (1951) we give a lower bound for the sum of the base volumes of cylinders covering a d-dimensional convex body in terms of the releva…
On the X-ray number of almost smooth convex bodies and of convex bodies of constant width
Karoly Bezdek, Gyorgy Kiss
The X-ray numbers of some classes of convex bodies are investigated. In particular, we give a proof of the X-ray Conjecture as well as of the Illumination Conjecture for almost smo…
Tarski's plank problem revisited
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…