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.

Bibliographic Details
Main Authors: Olha Lozinska, Aleksandr Savchenko, Mykhailo Zarichnyi
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
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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.
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institution Directory Open Access Journal
issn 2072-9812
2409-8906
language English
last_indexed 2024-04-13T14:57:32Z
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publisher Odesa National University of Technology
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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