Email this article From Isomorphic Rooted Trees to Isometric Ultrametric Spaces
- Authors: Dovgoshey O.1, Petrov E.1
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Affiliations:
- Institute of Applied Mathematics and Mechanics of NASU
- Issue: Vol 10, No 4 (2018)
- Pages: 287-298
- Section: Research Articles
- URL: https://journals.rcsi.science/2070-0466/article/view/201072
- DOI: https://doi.org/10.1134/S2070046618040052
- ID: 201072
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Abstract
For every finite ultrametric space X we can put in correspondence its representing tree TX. We found conditions under which the isomorphism of representing trees TX and TY implies the isometricity of ultrametric spaces X and Y having the same range of distances.
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About the authors
Oleksiy Dovgoshey
Institute of Applied Mathematics and Mechanics of NASU
Author for correspondence.
Email: oleksiy.dovgoshey@gmail.com
Ukraine, Dobrovolskogo str. 1, Slovyansk, 84100
Evgeniy Petrov
Institute of Applied Mathematics and Mechanics of NASU
Email: oleksiy.dovgoshey@gmail.com
Ukraine, Dobrovolskogo str. 1, Slovyansk, 84100
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