Frechet distance on the set of compact trees
We introduce a counterpart of the Frechet distance for the rooted trees in a metric space. Some properties and possible generalizations of this distance are discussed.
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Odesa National University of Technology
2020-02-01
|
Series: | Pracì Mìžnarodnogo Geometričnogo Centru |
Subjects: | |
Online Access: | https://journals.onaft.edu.ua/index.php/geometry/article/view/1606 |
_version_ | 1811326904181981184 |
---|---|
author | Olha Lozinska Aleksandr Savchenko Mykhailo Zarichnyi |
author_facet | Olha Lozinska Aleksandr Savchenko Mykhailo Zarichnyi |
author_sort | Olha Lozinska |
collection | DOAJ |
description | We introduce a counterpart of the Frechet distance for the rooted trees in a metric space. Some properties and possible generalizations of this distance are discussed. |
first_indexed | 2024-04-13T14:57:32Z |
format | Article |
id | doaj.art-b730cdecd46b477aa8b83c66596a8218 |
institution | Directory Open Access Journal |
issn | 2072-9812 2409-8906 |
language | English |
last_indexed | 2024-04-13T14:57:32Z |
publishDate | 2020-02-01 |
publisher | Odesa National University of Technology |
record_format | Article |
series | Pracì Mìžnarodnogo Geometričnogo Centru |
spelling | doaj.art-b730cdecd46b477aa8b83c66596a82182022-12-22T02:42:24ZengOdesa National University of TechnologyPracì Mìžnarodnogo Geometričnogo Centru2072-98122409-89062020-02-0183-4404510.15673/tmgc.v8i3-4.16061606Frechet distance on the set of compact treesOlha Lozinska0Aleksandr Savchenko1Mykhailo Zarichnyi2Lviv National UniversityKherson State Agrarian UniversityLviv National UniversityWe introduce a counterpart of the Frechet distance for the rooted trees in a metric space. Some properties and possible generalizations of this distance are discussed.https://journals.onaft.edu.ua/index.php/geometry/article/view/1606tree; frechet distance |
spellingShingle | Olha Lozinska Aleksandr Savchenko Mykhailo Zarichnyi Frechet distance on the set of compact trees Pracì Mìžnarodnogo Geometričnogo Centru tree; frechet distance |
title | Frechet distance on the set of compact trees |
title_full | Frechet distance on the set of compact trees |
title_fullStr | Frechet distance on the set of compact trees |
title_full_unstemmed | Frechet distance on the set of compact trees |
title_short | Frechet distance on the set of compact trees |
title_sort | frechet distance on the set of compact trees |
topic | tree; frechet distance |
url | https://journals.onaft.edu.ua/index.php/geometry/article/view/1606 |
work_keys_str_mv | AT olhalozinska frechetdistanceonthesetofcompacttrees AT aleksandrsavchenko frechetdistanceonthesetofcompacttrees AT mykhailozarichnyi frechetdistanceonthesetofcompacttrees |