Weak similarities of finite ultrametric and semimetric spaces

DOI10.1134/S2070046618020048zbMath1403.54019OpenAlexW2801428262WikidataQ129852344 ScholiaQ129852344MaRDI QIDQ1616628

Evgenii A. Petrov

Publication date: 7 November 2018

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046618020048

zbMATH Keywords

rooted treeultrametric spaceisomorphism of rooted treesweek similarity

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Directed graphs (digraphs), tournaments (05C20)

Related Items (13)

The Katětov constructions on asymmetric spaces ⋮ On quasisymmetric mappings in semimetric spaces ⋮ Labeled trees generating complete, compact, and discrete ultrametric spaces ⋮ Uniqueness of best proximity pairs and rigidity of semimetric spaces ⋮ Bipartite graphs and best proximity pairs ⋮ Hereditary properties of finite ultrametric spaces ⋮ Unnamed Item ⋮ On ultrametric-preserving functions ⋮ Combinatorial properties of ultrametrics and generalized ultrametrics ⋮ Finite ultrametric balls ⋮ The range of ultrametrics, compactness, and separability ⋮ Ultrametric preserving functions and weak similarities of ultrametric spaces ⋮ From isomorphic rooted trees to isometric ultrametric spaces

Cites Work

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• The analysis of proximities: Multidimensional scaling with an unknown distance function: I, II
• How rigid the finite ultrametric spaces can be?
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• Nonmetric multidimensional scaling. A numerical method

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