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

نویسنده

  • Miklós Bóna
چکیده

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.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

P´olya Urn Models and Connections to Random Trees: A Review

This paper reviews P´olya urn models and their connection to random trees. Basic results are presented, together with proofs that underly the historical evolution of the accompanying thought process. Extensions and generalizations are given according to chronology: • P´olya-Eggenberger’s urn • Bernard Friedman’s urn • Generalized P´olya urns • Extended urn schemes • Invertible urn schemes ...

متن کامل

A NOTE ON THE EQUISEPARABLE TREES

Let T be a tree and n_{l}(eIT) and n_{2}(eIT) denote the number of vertices of T, lying on the two sides of the edge e. Suppose T_{l} and T_{2} are two trees with equal number of vertices, e in T_{1} and f in T_{2}. The edges e and f are said to be equiseparable if either n_{l}(eIT_{I}) = n_{l}(fIT_{2}) or n_{l}(eIT_{I}) = n_{2}(fIT_{2}). If there is an one-to-one correspondence between the ver...

متن کامل

Quantitative Comparison of Tree Pairs Resulted from Gene and Protein Phylogenetic Trees for Sulfite Reductase Flavoprotein Alpha-Component and 5S rRNA and Taxonomic Trees in Selected Bacterial Species

Introduction: FAD is the cofactor of FAD-FR protein family. Sulfite reductase flavoprotein alpha-component is one of the main enzymes of this family. Based on applications of this enzyme in biotechnology and industry, it was chosen as the subject of evolutionary studies in 19 specific species. Method: Gene and protein sequences of sulfite reductase flavoprotein alpha-component, 5S rRNA sequence...

متن کامل

Quantitative Comparison of Tree Pairs Resulted from Gene and Protein Phylogenetic Trees for Sulfite Reductase Flavoprotein Alpha-Component and 5S rRNA and Taxonomic Trees in Selected Bacterial Species

Introduction: FAD is the cofactor of FAD-FR protein family. Sulfite reductase flavoprotein alpha-component is one of the main enzymes of this family. Based on applications of this enzyme in biotechnology and industry, it was chosen as the subject of evolutionary studies in 19 specific species. Method: Gene and protein sequences of sulfite reductase flavoprotein alpha-component, 5S rRNA sequence...

متن کامل

Re-assessment of subspecific taxa in Astragalus section Anthylloidei (Fabaceae) based on molecular evidence

The taxonomic and phylogenetic status of several taxa previously recognized as subspecies inAstragalus sect. Anthylloidei is re-assessed based on DNA sequences and morphologicalfeatures. We focused on Astragalus ebenoides (subsp. ebenoides and subsp. naghadehensis),Astragalus murinus (subsp. murins and subsp. bornmuelleri), Astragalus remotiflorus (subsp.remotiflorus and subsp. melanogramma), A...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Discrete Mathematics & Theoretical Computer Science

دوره 18  شماره 

صفحات  -

تاریخ انتشار 2016