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2020 On the independence number of some random trees
Svante Janson
Electron. Commun. Probab. 25(none): 1-14 (2020). DOI: 10.1214/20-ECP345

Abstract

We show that for many models of random trees, the independence number divided by the size converges almost surely to a constant as the size grows to infinity; the trees that we consider include random recursive trees, binary and $m$-ary search trees, preferential attachment trees, and others. The limiting constant is computed, analytically or numerically, for several examples. The method is based on Crump–Mode–Jagers branching processes.

Citation

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Svante Janson. "On the independence number of some random trees." Electron. Commun. Probab. 25 1 - 14, 2020. https://doi.org/10.1214/20-ECP345

Information

Received: 3 June 2020; Accepted: 24 August 2020; Published: 2020
First available in Project Euclid: 16 September 2020

zbMATH: 07252783
Digital Object Identifier: 10.1214/20-ECP345

Subjects:
Primary: 05C05, 05C69, 60C05

JOURNAL ARTICLE
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