From Isomorphic Rooted Trees to Isometric Ultrametric Spaces


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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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Oleksiy Dovgoshey

Institute of Applied Mathematics and Mechanics of NASU

编辑信件的主要联系方式.
Email: oleksiy.dovgoshey@gmail.com
乌克兰, Dobrovolskogo str. 1, Slovyansk, 84100

Evgeniy Petrov

Institute of Applied Mathematics and Mechanics of NASU

Email: oleksiy.dovgoshey@gmail.com
乌克兰, Dobrovolskogo str. 1, Slovyansk, 84100

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