Tree Height and the Asymptotic Mean of the Colijn-Plazzotta Rank of Unlabeled Binary Rooted Trees.

Luc Devroye, Michael R Doboli, Noah A Rosenberg, Stephan Wagner

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In one paragraph

Article in Bulletin of mathematical biology, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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1 · What the graph read from it

What it found

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4 · The record

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5 · Who and what money

Authors and funding

4 authors.

Luc DevroyeSchool of Computer Science, McGill University, Montréal, Canada.

Michael R DoboliDepartment of Biology, Stanford University, Stanford, California, USA.

Noah A RosenbergDepartment of Biology, Stanford University, Stanford, California, USA. noahr@stanford.edu.ORCID 0000-0002-1829-8664

Stephan WagnerInstitute of Discrete Mathematics, TU Graz, Graz, Austria.

Funding

Population genetics for large-scale sequencing studies of diverse populationsR01HG005855 · NHGRI · UNIVERSITY OF MICHIGAN AT ANN ARBOR · PI Noah Rosenberg, Paul A Scheet · 2010 to 2026

$5.8M

National Science Foundation DMS-2450005NHGRI NIH HHS R01 HG005855NIH HHS R01 HG005855

6 · The paper itself

Abstract

The Colijn-Plazzotta ranking is a bijective encoding of the unlabeled binary rooted trees with positive integers. We show that the rank f(t) of a tree t is closely related to its height h, the maximal path length from a leaf to the root. We consider the rank

Indexed as

Models, BiologicalModels, GeneticPhylogenyMathematical ConceptsColijn-Plazzotta rankMathematical phylogeneticsTree height

Identifiers

PMID41182472

DOI10.1007/s11538-025-01538-7

PMCPMC12583421

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.