# The Asymptotic Distributions of 3-star factors in random d-regular graphs - Mathematics > Combinatorics

Abstract: The Small Subgraph Conditioning Method has been used to study the almost sureexistence and the asymptotic distribution of the number of regular spanningsubgraphs of various types in random \emph{d}-regular graphs. In this paper weuse the method to determine the asymptotic distribution of the number of 3-starfactors in random \emph{d}-regular graphs for $d \geq 4$

Author: Lyra Yulianti

Source: https://arxiv.org/