Locally Finite ultrametric spaces and labeled trees

DOI10.1007/S10958-023-06786-3arXiv2308.06626OpenAlexW4388932398MaRDI QIDQ6147653

Aleksey A. Dovgoshey, Alexander Kostikov

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.06626

zbMATH Keywords

complete multipartite graphlabeled treediameter of ultrametric spacelocally finite ultrametric space

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Graph theory (05Cxx) Combinatorics (05-XX)

Cites Work

• On the Gomory-Hu inequality
• Diameter and diametrical pairs of points in ultrametric spaces
• Finite ultrametric balls
• From isomorphic rooted trees to isometric ultrametric spaces
• Properties and morphisms of finite ultrametric spaces and their representing trees
• Labeled trees generating complete, compact, and discrete ultrametric spaces
• Hereditary properties of finite ultrametric spaces
• Graph Theory
• Ultrametrics and Complete Multipartite Graphs
• Isomorphism of Trees and Isometry of Ultrametric Spaces
• Minimal universal metric spaces

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