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math.MG2017
Almost-equidistant sets
Martin Balko, Attila Pór, Manfred Scheucher +2
For a positive integer , a set of points in -dimensional Euclidean space is called almost-equidistant if for any three points from the set, some two are at unit distance. Let…
math.MG2014★ 3 cited
On the Beer index of convexity and its variants
Martin Balko, Vít Jelínek, Pavel Valtr +1
Let be a subset of with finite positive Lebesgue measure. The Beer index of convexity of is the probability that two points of chos…