Moderate deviations for the size of the giant component in a random hypergraph

Jingjia Liu; Matthias Löwe

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arXiv · 1907.07834

Moderate deviations for the size of the giant component in a random hypergraph

Jingjia Liu·Matthias Löwe

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Abstract

We prove a moderate deviations principles for the size of the largest connected component in a random $d$-uniform hypergraph. The key tool is a version of the exploration process, that is also used to investigate the giant component of an Erd\"os-R\'enyi graph, a moderate deviations principle for the martingale associated with this exploration process, and exponential estimates.

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BibTeX RIS

Jingjia Liu, Matthias Löwe. 2019-07-18. Moderate deviations for the size of the giant component in a random hypergraph. https://arxiv.org/abs/1907.07834

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