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math.MG2026
Chebyshev sets and ball operators
Horst Martini, Pedro Martín, Margarita Spirova
The Chebyshev set of a bounded set in a normed space is the set of centers of all minimal enclosing balls of . We use the concept of ball intersection and ball hull operator…
math.MG2014★ 1 cited
The 2-center problem and ball operators in strictly convex normed planes
Pedro Martín, Horst Martini, Margarita Spirova
We investigate the 2-center problem for arbitrary strictly convex, centrally symmetric curves instead of usual circles. In other words, we extend the 2-center problem (from the Euc…