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Random Recursive Trees and Preferential Attachment Trees are Random Split Trees
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2019 (English)In: Combinatorics, probability & computing, ISSN 0963-5483, E-ISSN 1469-2163, Vol. 28, no 1, p. 81-99Article in journal (Refereed) Published
Abstract [en]

We consider linear preferential attachment trees, and show that they can be regarded as random split trees in the sense of Devroye (1999), although with infinite potential branching. In particular, this applies to the random recursive tree and the standard preferential attachment tree. An application is given to the sum over all pairs of nodes of the common number of ancestors.

Place, publisher, year, edition, pages
2019. Vol. 28, no 1, p. 81-99
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Probability Theory and Statistics Computer Sciences
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URN: urn:nbn:se:uu:diva-379238DOI: 10.1017/S0963548318000226ISI: 000459867700005OAI: oai:DiVA.org:uu-379238DiVA, id: diva2:1297159
Funder
Knut and Alice Wallenberg FoundationAvailable from: 2019-03-19 Created: 2019-03-19 Last updated: 2019-03-19Bibliographically approved

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Janson, Svante

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