A1 Refereed original research article in a scientific journal

Forbidden Four Cycle, Star Graphs and Isometric Embeddings



Authors: Dovgoshey, Oleksiy; Rovenska, Olga

Publisher: Odesa National University of Technology

Publication year: 2025

Journal: Proceedings of the International Geometry Center

Volume: 18

Issue: 3

First page : 306

Last page: 331

ISSN: 2072-9812

eISSN: 2409-8906

DOI: https://doi.org/10.15673/pigc.v18i3.3268

Publication's open availability at the time of reporting: Open Access

Publication channel's open availability : Open Access publication channel

Web address : http://doi.org/10.15673/pigc.v18i3.3268

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/508986016

Self-archived copy's licence: CC BY

Self-archived copy's version: Publisher`s PDF


Abstract

We prove the necessary and sufficient conditions under which ultrametric spaces of arbitrary infinite cardinality admit isometric embeddings into ultrametric spaces generated by labeled star graphs.


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Last updated on 12/02/2026 08:46:33 AM