Abstract:We study two models of an age-biased graph process: the
$\delta$
-version of the preferential attachment graph model (PAM) and the uniform attachment graph model (UAM), with m attachments for each of the incoming vertices. We show that almost surely the scaled size of a breadth-first (descendant) tree rooted at a fixed vertex converges, for
$m=1$
, to a limit whose distribution is a mixture of two beta distributions and a single beta distribution respec… Show more
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