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Journal of Convex Analysis 22 (2015), No. 1, 291--301
Copyright Heldermann Verlag 2015

Right Triple Convex Completion

Liping Yuan
College of Mathematics and Information Science, Hebei Normal University, 050024 Shijiazhuang, P. R. China.
and: Hebei Key Laboratory of Computational Mathematics and Applications, 050024 Shijiazhuang, P. R. China

Tudor Zamfirescu
Fachbereich Mathematik, Universitšt Dortmund, 44221 Dortmund, Germany
and: Institute of Mathematics, Roumanian Academy of Sciences, P.O.B. 1-764, Bucharest 014700, Roumania

A set M in Rd is rt-convex if every pair of its points is included in a 3-point subset {x,y,z} of M satisfying angle(xyz) = pi/2. We find here for various families of sets the minimal number of points necessary to add to the sets in order to render them rt-convex.

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