2 papers
math.MG2024
Stiefel manifolds and upper bounds for spherical codes and packings
Masoud Zargar
We improve upper bounds on sphere packing densities and sizes of spherical codes in high dimensions. In particular, we prove that the maximal sphere packing densities in $\ma…
math.CO2023
The union-closed sets conjecture for non-uniform distributions
Masoud Zargar
The union-closed sets conjecture, attributed to Péter Frankl from 1979, states that for any non-empty finite union-closed family of finite sets not consisting of only the empty set…