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Regular trees in random regular graphs

Eran Makover·Jeffrey McGowan
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Abstract

We investigate the size of the embedded regular tree rooted at a vertex in a $d$ regular random graph. We show that almost always, the radius of this tree will be ${1/2}\log n$, where $n$ is the number of vertices in the graph. And we give an asymptotic estimate for Gauss' Hypergeometric Function.

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Eran Makover, Jeffrey McGowan. 2010-08-09. Regular trees in random regular graphs. https://arxiv.org/abs/math/0610858

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