The height of random binary unlabelled trees

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dc.creatorBroutin, Nicolas
dc.creatorFlajolet, Philippe
dc.date2008-07-15
dc.date.accessioned2026-07-07T09:50:28Z
dc.date.available2026-07-07T09:50:28Z
dc.descriptionThis extended abstract is dedicated to the analysis of the height of non-plane unlabelled rooted binary trees. The height of such a tree chosen uniformly among those of size $n$ is proved to have a limiting theta distribution, both in a central and local sense. Moderate as well as large deviations estimates are also derived. The proofs rely on the analysis (in the complex plane) of generating functions associated with trees of bounded height.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0807.2365
dc.identifierhttp://arxiv.org/abs/0807.2365
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164954
dc.subjectCombinatorics
dc.subjectProbability
dc.subject05A16 ; 05A15 ; 05C05 ; 60C05
dc.titleThe height of random binary unlabelled trees
dc.typetext

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