%0 Journal Article
%T Random planar graphs with given minimum degree
%A Marc Noy
%A Lander Ramos
%J Mathematics
%D 2014
%I arXiv
%X We determine the asymptotic growth of planar graphs with a condition on the minimum degree, and properties of random graphs from these classes. In particular we show that the size of the largest tree attached to the core of a random planar graph is of order c log(n) for an explicit constant c. These results provide new information on the structure of random planar graphs.
%U http://arxiv.org/abs/1403.5211v1