Recovering symbolically dated, rooted trees from symbolic ultrametrics (Q1272801)
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scientific article; zbMATH DE number 1228416
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Recovering symbolically dated, rooted trees from symbolic ultrametrics |
scientific article; zbMATH DE number 1228416 |
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Recovering symbolically dated, rooted trees from symbolic ultrametrics (English)
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2 December 1998
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A result from cluster theory states that there is a one-to-one correspondence between dated, compact, rooted trees and ultrametrics. In this paper, this result is generalized, and, as a corollary, a theorem by \textit{H.-J. Bandelt} and \textit{M. A. Steel} [SIAM J. Discrete Math. 8, No. 4, 517-525 (1995; Zbl 0842.05024)] is derived, regarding a canonical one-to-one correspondence between additive trees and metrics satisfying the 4-point condition.
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dated, compact, rooted trees
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ultrametrics
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additive trees
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