Thin Right Triangle Convexity

Xiangxiang Nie, Liping Yuan () and Tudor Zamfirescu
Additional contact information
Xiangxiang Nie: School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China
Liping Yuan: School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China
Tudor Zamfirescu: School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China

Mathematics, 2022, vol. 10, issue 22, 1-8

Abstract: Let F be a family of sets in R d (always d ≥ 2 ). A set M ⊂ R d 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 R 2 . 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 t r t -convexity of unbounded sets, convex surfaces and planar geometric graphs.

Keywords: thin right triangles; trt -convexity; complements (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/22/4170/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/22/4170/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:22:p:4170-:d:966161

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().