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arXiv · 0706.0496

The Order of the Giant Component of Random Hypergraphs

Michael Behrisch·Amin Coja-Oghlan·Mihyun Kang
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Abstract

We establish central and local limit theorems for the number of vertices in the largest component of a random $d$-uniform hypergraph $\hnp$ with edge probability $p=c/\binnd$, where $(d-1)^{-1}+\eps<c<\infty$. The proof relies on a new, purely probabilistic approach, and is based on Stein's method as well as exposing the edges of $H_d(n,p)$ in several rounds.

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Michael Behrisch, Amin Coja-Oghlan, Mihyun Kang. 2007-06-04. The Order of the Giant Component of Random Hypergraphs. https://doi.org/10.1002/rsa.20282

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