3 papers
math.CO2025
Normal approximation for number of edges in random intersection graphs
Katarzyna Rybarczyk, Grzegorz Serafin
The random intersection graph model is considered. Due to substantial edge dependencies, studying even fundamental statistics such as the subgraph count is sign…
math.NT2024
Explicit bounds for Bell numbers and their ratios
Jerzy Grunwald, Grzegorz Serafin
In this article, we provide a comprehensive analysis of the asymptotic behavior of Bell numbers, enhancing and unifying various results previously dispersed in the literature. We e…
math.PR2024
Normal approximation for subgraph count in random hypergraphs
Wojciech Michalczuk, MikoÅaj Nieradko, Grzegorz Serafin
A non-uniform and inhomogeneous random hypergraph model is considered, which is a straightforward extension of the celebrated binomial random graph model . We esta…