On the number of vertices of each rank in phylogenetic trees and their generalizations

We find surprisingly simple formulas for the limiting probability that the rank of a randomly selected vertex in a randomly selected phylogenetic tree or generalized phylogenetic tree is a given integer.

Bibliographic Details
Main Author: Miklós Bóna
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2016-04-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/653/pdf
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author Miklós Bóna
author_facet Miklós Bóna
author_sort Miklós Bóna
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description We find surprisingly simple formulas for the limiting probability that the rank of a randomly selected vertex in a randomly selected phylogenetic tree or generalized phylogenetic tree is a given integer.
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publisher Discrete Mathematics & Theoretical Computer Science
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spelling doaj.art-b5d1f43684fd4ecc9b6128db76373e1e2024-03-07T15:31:26ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502016-04-01Vol. 18 no. 3Combinatorics10.46298/dmtcs.653653On the number of vertices of each rank in phylogenetic trees and their generalizationsMiklós BónaWe find surprisingly simple formulas for the limiting probability that the rank of a randomly selected vertex in a randomly selected phylogenetic tree or generalized phylogenetic tree is a given integer.https://dmtcs.episciences.org/653/pdfmathematics - combinatorics05a15, 05a16
spellingShingle Miklós Bóna
On the number of vertices of each rank in phylogenetic trees and their generalizations
Discrete Mathematics & Theoretical Computer Science
mathematics - combinatorics
05a15, 05a16
title On the number of vertices of each rank in phylogenetic trees and their generalizations
title_full On the number of vertices of each rank in phylogenetic trees and their generalizations
title_fullStr On the number of vertices of each rank in phylogenetic trees and their generalizations
title_full_unstemmed On the number of vertices of each rank in phylogenetic trees and their generalizations
title_short On the number of vertices of each rank in phylogenetic trees and their generalizations
title_sort on the number of vertices of each rank in phylogenetic trees and their generalizations
topic mathematics - combinatorics
05a15, 05a16
url https://dmtcs.episciences.org/653/pdf
work_keys_str_mv AT miklosbona onthenumberofverticesofeachrankinphylogenetictreesandtheirgeneralizations