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Random planar maps and graphs with minimum degree two and three

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 نشر من قبل Lander Ramos
 تاريخ النشر 2014
  مجال البحث
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We find precise asymptotic estimates for the number of planar maps and 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.



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