Speaker: Liping Yuan, professor and doctoral supervisor, Hebei Normal University

Date: December 13, 2023

Time: 19:30-21:30

Location: Tencent Meeting: 295 736 197

Sponsor: School of Mathematics, Shandong University

Abstract:

Let ƒ be a family of sets in Rd(always d≥2). A set M⊂Rd is called ƒ-convex, if for any pair of distinct points x, y∈M, there is a set F∈ƒ such that x, y ∈F and F⊂M. We obtain the poidge-convexity, when ƒ consists of all unions {x}∪σ, called poidges, where x is a point,σ a line-segment, and conv({x}∪σ) a right triangle. In this talk we first present several results on the poidge-convexity of various sets. Then, we investigate the poidge-convex completion of some compact sets, trying to determine the minimal cardinality of points necessary to be added to make them poidge-convex. Finally, we discuss the poidge-convexity in graphs.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/186370.htm