Expected and minimal values of a universal tree balance index.

Veselin Manojlović, Armaan Ahmed, Yannick Viossat, Robert Noble

Abstract readPreprint

In one paragraph

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

0numbers the graph read from it

0cells of the map it votes in

0citing papers in PubMed

–field-weighted citation impact

1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Veselin ManojlovićDepartment of Mathematics, City St George's, University of London, Northampton Square, London, EC1V 0HB, United Kingdom.ORCID 0000-0003-0620-2431

Armaan AhmedDepartment of Applied Math & Statistics, Johns Hopkins University, Baltimore, USA.ORCID 0000-0001-9619-1611

Yannick ViossatCeremade, CNRS, Université Paris-Dauphine, Université PSL, Paris, France.ORCID 0000-0003-1388-0599

Robert NobleDepartment of Mathematics, City St George's, University of London, Northampton Square, London, EC1V 0HB, United Kingdom.ORCID 0000-0002-8057-4252

Funding

The Role of the Microbiome in Cancer Suppression and Susceptibility Across SpeciesU54CA217376 · NCI · ARIZONA STATE UNIVERSITY-TEMPE CAMPUS · PI MALEY, CARLO · 2018 to 2022

$8.6M

NCI NIH HHS U54 CA217376

6 · The paper itself

Abstract

Although the analysis of rooted tree shape has wide-ranging applications, notions of tree balance have developed independently in different domains. In computer science, a balanced tree is one that enables efficient updating and retrieval of data, whereas in biology tree balance quantifies bias in evolutionary processes. The lack of a precise connection between these concepts has stymied the development of universal indices and general results. We recently introduced a new tree balance index,

Identifiers

PMID40671955

PMCPMC12265486

What OpenQuestion holds

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LicenceCC BY

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Registered trials

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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.