Electronic Communications in Probability

Protected nodes and fringe subtrees in some random trees

Luc Devroye and Svante Janson

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We study protected nodes in various classes of random rooted trees by putting them in the general context of fringe subtrees introduced by Aldous (1991). Several types of random trees are considered: simply generated trees (or conditioned Galton-Watson trees), which includes several cases treated separately by other authors, binary search trees and random recursive trees. This gives unified and simple proofs of several earlier results, as well as new results.

Article information

Electron. Commun. Probab., Volume 19 (2014), paper no. 6, 10 pp.

Accepted: 5 February 2014
First available in Project Euclid: 7 June 2016

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60C05: Combinatorial probability
Secondary: 05C05: Trees

simply generated trees conditioned Galton-Watson trees binary search trees random recursive trees protected nodes fringe trees

This work is licensed under a Creative Commons Attribution 3.0 License.


Devroye, Luc; Janson, Svante. Protected nodes and fringe subtrees in some random trees. Electron. Commun. Probab. 19 (2014), paper no. 6, 10 pp. doi:10.1214/ECP.v19-3048. https://projecteuclid.org/euclid.ecp/1465316708

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