Yanlu Lian

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

2 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

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…

math.FA2021

Divide bounded sets into sets having smaller diameters

Yanlu Lian, Senlin Wu

For each positive integer $m$ and each real finite dimensional Banach space $X$ , we set $β (X, m)$ to be the infimum of $δ \in (0, 1]$ such that each set $A \subset X$ having diameter $…

math.MG2021★ 1 cited

Covering the crosspolytope with its smaller homothetic copies

Yanlu Lian, Yuqin zhang

In 1957, Hadwiger made the famous conjecture that any convex body of $n$ -dimensional Euclidean space $E^{n}$ can be covered by $2^{n}$ smaller positive homothetic copies. Up t…