Subgraph distributions in dense random regular graphs
Ashwin Sah,
Mehtaab Sawhney
Abstract:Given a connected graph
$H$
which is not a star, we show that the number of copies of
$H$
in a dense uniformly random regular graph is asymptotically Gaussian, which was not known even for
$H$
being a triangle. This addresses a question of McKay from the 2010 International Congress of Mathematicians. In fact, we prove that the behavior of the variance of the number of copies of
$H$
depends in a delic… Show more
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