10 citations · 11 across the 3 of their papers we have counts for
3 papers
math.MG2014★ 10 cited
Minsum Location Extended to Gauges and to Convex Sets
Thomas Jahn, Yaakov S. Kupitz, Horst Martini +1
One of the oldest and richest problems from continuous location science is the famous Fermat-Torricelli problem, asking for the unique point in Euclidean space that has minimal dis…
math.CO2010★ 1 cited
On the polygonal diameter of the interior, resp. exterior, of a simple closed polygon in the plane
Yaakov S. Kupitz, Horst Martini, Micha A. Perles
We give a tight upper bound on the polygonal diameter of the interior, resp. exterior, of a simple -gon, , in the plane as a function of , and describe an -gon $(…
math.MG2009
Ball polytopes and the Vazsonyi problem
Yaakov S. Kupitz, Horst Martini, Micha A. Perles
Let V be a finite set of points in Euclidean d-space (d >= 2). The intersection of all unit balls B(v,1) centered at v, where v ranges over V, henceforth denoted by B(V) is the bal…