9 citations · 26 across the 21 of their papers we have counts for
Showing math.COShow all
2 papers · 1 filter
math.CO2016
Tight bounds on discrete quantitative Helly numbers
Gennadiy Averkov, Bernardo González Merino, Matthias Henze +2
Given a subset S of R^n, let c(S,k) be the smallest number t such that whenever finitely many convex sets have exactly k common points in S, there exist at most t of these sets tha…
math.CO2014★ 9 cited
A generalization of the discrete version of Minkowski's fundamental theorem
Bernardo González Merino, Matthias Henze
One of the most fruitful results from Minkowski's geometric viewpoint on number theory is his so called 1st Fundamental Theorem. It provides an optimal upper bound for the volume o…