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The joint distribution of the three types of nodes in uniform binary trees

โœ Scribed by H. M. Mahmoud

Book ID
105111020
Publisher
Springer
Year
1995
Tongue
English
Weight
377 KB
Volume
13
Category
Article
ISSN
0178-4617

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Let T n denote the set of unrooted unlabeled trees of size n and let k โ‰ฅ 1 be given. By assuming that every tree of T n is equally likely, it is shown that the limiting distribution of the number of nodes of degree k is normal with mean value โˆผ ยต k n and variance โˆผ ฯƒ 2 k n with positive constants ยต