Time：14:00-16:00, Wednesday, April 15 2026
Venue：E14-116
Speaker：Liping Yuan, Hebei Normal University
Title：On ℱ-convexity and related problems
Abstract: Let ℱ be a family of sets in IR𝑑. A set 𝑀 ⊂ IR𝑑 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. In this talk we'll discuss ℱ-convexity and related problems for some interesting families ℱ, including characterizations of ℱ-convex sets, ℱ-convex completions, generic ℱ-convexity, ℱ-convex functions, and ℱ-convexity in graphs.
Based on joint work with Professor Tudor Zamfirescu and students in my group.
