Protected nodes and fringe subtrees in some random trees. (English) Zbl 1355.60015

Devroye, Luc; Janson, Svante

Electron. Commun. Probab. 19, Paper No. 6, 10 p. (2014).

The authors study protected nodes in various classes of random rooted trees by putting them in the general context of fringe subtrees. Several types of random trees are considered: simply generated trees (or conditioned Galton-Watson trees), binary search trees and random recursive trees. This gives unified and simple proofs of several earlier results, as well as new results.

Reviewer: Ping Sun (Shenyang)

MSC:

60C05	Combinatorial probability
05C05	Trees
60J85	Applications of branching processes

Keywords:

random trees; fringe subtrees; protected nodes