Branch duplication in trees: uniqueness of sedes and enumeration of sedes
Abstract By the process of branch duplication, any tree may be generated from a type of tree called a seed. We describe the correspondence between trees and seeds by showing that each tree grows from a unique seed and giving an algorithm to produce this seed. Using results about the structure of see...
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Universidad Católica del Norte, Departamento de Matemáticas
2020
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oai:scielo:S0716-091720200002004512020-05-06Branch duplication in trees: uniqueness of sedes and enumeration of sedesJohnson,Charles R.Lettie,JacobMack-Crane,SanderSzabelska-Beręsewicz,Alicja Branch duplication in tres Enumeration of sedes Rooted tres Seeds Uniqueness of seeds Abstract By the process of branch duplication, any tree may be generated from a type of tree called a seed. We describe the correspondence between trees and seeds by showing that each tree grows from a unique seed and giving an algorithm to produce this seed. Using results about the structure of seeds, we enumerate the seeds of a given diameter.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.2 20202020-04-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000200451en10.22199/issn.0717-6279-2020-02-0028 |
institution |
Scielo Chile |
collection |
Scielo Chile |
language |
English |
topic |
Branch duplication in tres Enumeration of sedes Rooted tres Seeds Uniqueness of seeds |
spellingShingle |
Branch duplication in tres Enumeration of sedes Rooted tres Seeds Uniqueness of seeds Johnson,Charles R. Lettie,Jacob Mack-Crane,Sander Szabelska-Beręsewicz,Alicja Branch duplication in trees: uniqueness of sedes and enumeration of sedes |
description |
Abstract By the process of branch duplication, any tree may be generated from a type of tree called a seed. We describe the correspondence between trees and seeds by showing that each tree grows from a unique seed and giving an algorithm to produce this seed. Using results about the structure of seeds, we enumerate the seeds of a given diameter. |
author |
Johnson,Charles R. Lettie,Jacob Mack-Crane,Sander Szabelska-Beręsewicz,Alicja |
author_facet |
Johnson,Charles R. Lettie,Jacob Mack-Crane,Sander Szabelska-Beręsewicz,Alicja |
author_sort |
Johnson,Charles R. |
title |
Branch duplication in trees: uniqueness of sedes and enumeration of sedes |
title_short |
Branch duplication in trees: uniqueness of sedes and enumeration of sedes |
title_full |
Branch duplication in trees: uniqueness of sedes and enumeration of sedes |
title_fullStr |
Branch duplication in trees: uniqueness of sedes and enumeration of sedes |
title_full_unstemmed |
Branch duplication in trees: uniqueness of sedes and enumeration of sedes |
title_sort |
branch duplication in trees: uniqueness of sedes and enumeration of sedes |
publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
publishDate |
2020 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000200451 |
work_keys_str_mv |
AT johnsoncharlesr branchduplicationintreesuniquenessofsedesandenumerationofsedes AT lettiejacob branchduplicationintreesuniquenessofsedesandenumerationofsedes AT mackcranesander branchduplicationintreesuniquenessofsedesandenumerationofsedes AT szabelskaber281sewiczalicja branchduplicationintreesuniquenessofsedesandenumerationofsedes |
_version_ |
1718439870447222784 |