Thin Right Triangle Convexity

Autor: Xiangxiang Nie, Liping Yuan, Tudor Zamfirescu
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Mathematics, Vol 10, Iss 22, p 4170 (2022)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math10224170
Popis: Let F be a family of sets in Rd (always d≥2). A set M⊂Rd is called F-convex, if for any pair of distinct points x,y∈M, there is a set F∈F, such that x,y∈F and F⊂M. A thin right triangle is the boundary of a non-degenerate right triangle in R2. The aim of this paper is to introduce and begin investigating the thin right triangle convexity for short trt-convexity, which is obtained when F is the family of all thin right triangles. We investigate the trt-convexity of unbounded sets, convex surfaces and planar geometric graphs.
Databáze: Directory of Open Access Journals
Nepřihlášeným uživatelům se plný text nezobrazuje