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Aguiló, I.; Martín, J.; Mayor, G.; Suñer, J.; Valero, O.

Smallest enclosing ball multidistance. (English) Zbl 1332.90340

Commun. Inf. Syst. 12, No. 3, 185-194 (2012).
Summary: 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.

Cited in 2 Documents

MSC:

90C48 Programming in abstract spaces

Keywords:

metric space; Fermat multidistance; smallest enclosing ball; midpoint property; Fermat property; \(m\)-dimensional Euclidian space
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