F. Xue

activity

20142022

most citedOn the Covering Densities of Quarter-Convex Disks

5 citations · 19 across the 12 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.MG2021

A note on the maximal perimeter and maximal width of a convex small polygon

Fei Xue, Yanlu Lian, Jun Wang +1

The polygon $P$ is small if its diameter equals one. When $n = 2^{s}$ , it is still an open problem to find the maximum perimeter or the maximum width of a small $n$ -gon. Motivated by B…

math.MG2021★ 2 cited

On Hadwiger's covering functional for the simplex and the cross-polytope

Fei Xue, Yanlu Lian, Yuqin Zhang

In 1957, Hadwiger made a conjecture that every $n$ -dimensional convex body can be covered by $2^{n}$ translations of its interior. The Hadwiger's covering functional $γ_{m} (K)$ is the…