Nathan Xiong

collaborators

2 papers

math.MG2026

Kusner's conjecture is false for $p > 4$

Nathan Xiong

An equilateral set is a set of points in a metric space whose pairwise distances are all equal. Kusner conjectured that the maximum cardinality of an equilateral set in $\mathbb{R}…

math.MG2020

Few distance sets in $ℓ_{p}$ spaces and $ℓ_{p}$ product spaces

Richard Chen, Feng Gui, Jason Tang +1

Kusner asked if $n + 1$ points is the maximum number of points in $R^{n}$ such that the $ℓ_{p}$ distance $(1 < p < \infty)$ between any two points is $1$ . We present an improveme…

Kusner's conjecture is false for p>4

Few distance sets in ℓp​ spaces and ℓp​ product spaces

Kusner's conjecture is false for $p > 4$

Few distance sets in $ℓ_{p}$ spaces and $ℓ_{p}$ product spaces