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A note on the growth of random trees

โœ Scribed by J.D. Biggins; D.R. Grey


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
200 KB
Volume
32
Category
Article
ISSN
0167-7152

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โœฆ Synopsis


We provide a unification and generalization of several recent results on the asymptotics, as the number of nodes increases, of the heights of trees grown according to various rules.


๐Ÿ“œ SIMILAR VOLUMES


On the profile of random trees
โœ Michael Drmota; Bernhard Gittenberger ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 302 KB ๐Ÿ‘ 2 views

Let T be a plane rooted tree with n nodes which is regarded as family tree of a Galton-Watson branching process conditioned on the total progeny. The profile of the tree ' may be described by the number of nodes or the number of leaves in layer t n , respectively. It is shown that these two processe