Saba Lepsveridze

activity

20232026

collaborators

Showing 2023Show all

2 papers · 1 filter

math.CO2023

Uniacute Spherical Codes

Saba Lepsveridze, Aleksandre Saatashvili, Yufei Zhao

A spherical $L$ -code, where $L \subseteq [- 1, \infty)$ , consists of unit vectors in $R^{d}$ whose pairwise inner products are contained in $L$ . Determining the maximum cardin…

math.CO2023

Size of the largest sum-free subset of $[n]^{3}$ and $[n]^{4}$

Saba Lepsveridze, Yihang Sun

We determine the density of the largest sum-free subset of the lattice cube ${1, 2, \dots, n}^{d}$ for $d = 3$ and $d = 4$ . This solves a conjecture of Cameron and Aydinian in dime…

Uniacute Spherical Codes

Size of the largest sum-free subset of [n]3 and [n]4

Size of the largest sum-free subset of $[n]^{3}$ and $[n]^{4}$