90 citations · 183 across the 4 of their papers we have counts for
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math.CO2009★ 3 cited
Helly-type Theorems for Hollow Axis-aligned Boxes
Konrad J. Swanepoel
A hollow axis-aligned box is the boundary of the cartesian product of compact intervals in R^d. We show that for d\geq 3, if any 2^d of a collection of hollow axis-aligned boxe…
math.CO2007★ 15 cited
A new proof of Vazsonyi's conjecture
Konrad J Swanepoel
We present a self-contained proof that the number of diameter pairs among n points in Euclidean 3-space is at most 2n-2. The proof avoids the ball polytopes used in the original pr…
math.CO2004★ 56 cited
Largest family without A union B contained in C intersect D
Annalisa De Bonis, Gyula O. H. Katona, Konrad J. Swanepoel
Let F be a family of subsets of an n-element set not containing four distinct members such that A union B is contained in C intersect D. It is proved that the maximum size of F und…