Communications in Information and Systems
Volume 12 (2012)
Smallest enclosing ball multidistance
Pages: 185 – 194
The smallest enclosing ball problem is analyzed in the class of proper metric spaces. By using the diameter of the smallest enclosing ball of a set of points, we find conditions in order to ensure that the mentioned measure is a multidistance.
metric space, Fermat multidistance, smallest enclosing ball, midpoint property, Fermat property, $m$-dimensional Euclidian space