A Note on the Horton-Strahler Number for Random Trees
نویسندگان
چکیده
We consider the Horton-Strahler number S, for random equiprobable binary trees with n nodes. We give a simple probabilistic proof of the well-known result that ES, = log,n + O(1) and show that for every x > 0, P{ 1 S, log,n ( > x} Q D/4x, for some constant D > 0.
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عنوان ژورنال:
- Inf. Process. Lett.
دوره 56 شماره
صفحات -
تاریخ انتشار 1994