Abstract

A set M in Rd\mathbb{R}^d is rt-convex if every pair of its points is included in a 3-point subset {x,y,z} of M such that the triangle with the corners x, y and z has a right angle at y. We characterize rt-convex sets, and for 2-connected polygonally connected sets, for 3-connected sets, for geometric graphs, and for finite sets

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Contact details are reproduced from the original publication and may be historical.

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

lpyuan@mail.hebtu.edu.cn

Tudor Zamfirescu

Fachbereich Mathematik, Universität Dortmund, 44221 Dortmund, Germany
and: Institute of Mathematics, Roumanian Academy of Sciences, P.O.B. 1-764, Bucharest 014700, Roumania
and: College of Mathematics and Information Science, Hebei Normal University, 050024 Shijiazhuang, China

tudor.zamfirescu@mathematik.uni-dortmund.de

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Suggested citation

L. Yuan, T. Zamfirescu. “Right Triple Convexity.” Journal of Convex Analysis 23 (2016), No. 4, 1219–1246. https://doi.org/10.68381/jca23046

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Published by Heldermann Verlag, 2016. Rights now held by Banach Press LLC.