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Distribution of points by degree and orbit size in a large random tree

✍ Scribed by C. K. Bailey

Publisher
John Wiley and Sons
Year
1982
Tongue
English
Weight
383 KB
Volume
6
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

Using generating functions and asymptotic techniques, the probability that in a large random tree a point is of degree r and an orbit of size s for r ≀ 7 and s ≀ 7 is calculated. For example, it is found that about 17% of the points of a random tree are fixed and have degree one. This method is readily applied to different types of trees.

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