Forbidden Four Cycle, Star Graphs and Isometric Embeddings
General Topology
2025-10-03 v1
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.
Keywords
Cite
@article{arxiv.2510.01667,
title = {Forbidden Four Cycle, Star Graphs and Isometric Embeddings},
author = {Oleksiy Dovgoshey and Olga Rovenska},
journal= {arXiv preprint arXiv:2510.01667},
year = {2025}
}