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On the upper bound on the average distance from the Fermat-Weber center of a convex body

Tan, XH; Jiang, B

Tan, XH (corresponding author), Dalian Maritime Univ, Sch Informat Sci & Technol, Linghai Rd 1, Dalian 116026, Peoples R China.; Tan, XH (corresponding author), Tokai Univ, Sch Informat Sci & Technol, 4-1-1 Kitakaname, Hiratsuka, Kanagawa 2591292, Japan.

COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, 2021; 97 ():

Abstract

We show that for any compact convex body Qin the plane, the average distance from the Fermat-Weber center of Qto the points in Q is at most 99-50 root......

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