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Random records and cuttings in split trees.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2008 (English)In: Discrete Mathematics & Theoretical Computer Science, ISSN 1462-7264, E-ISSN 1365-8050, Vol. Proc., no AI, 269-282 p.Article in journal (Refereed) Published
Abstract [en]

We study the number of records in split trees on n randomly labelled vertices. Equivalently the random number of cuttings to eliminate an arbitrary random split tree can be studied. After normalization the distributions are shown to be asymptotically 1-stable. This work is a generalization of our earlier results for the random binary search tree which is one specific case of split trees. Other important examples of split trees include m-ary search trees, quad trees median of (2k+1)-trees, simplex trees, tries and digital search trees.

Place, publisher, year, edition, pages
2008. Vol. Proc., no AI, 269-282 p.
Keyword [en]
Random trees
National Category
Probability Theory and Statistics
URN: urn:nbn:se:uu:diva-288651OAI: oai:DiVA.org:uu-288651DiVA: diva2:924459
Fifth Colloquium on Mathematics and Computer Science
Available from: 2016-04-28 Created: 2016-04-28 Last updated: 2016-04-28

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