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Comparison of weighted labelled trees

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 748))

Abstract

The results in a previous paper on the comparison of (unweighted) labelled trees are extended to the comparison of weighted labelled trees. An elementary operation is introduced which enables one to transform one weighted labelled tree into another. The operation makes it possible to compare different trees in a quantitative way in the sense of defining a "distance" between them. An application to a problem in molecular evolution is given.

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References

  1. L.R. Foulds, M.D. Hendy and David Penny, "A Graph Theoretic Approach to the Development of Minimal Phylogenetic Trees", J. Mol. Evol. In press.

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  2. W.M. Fitch, "Is the Fixation of Observable Mutations Distributed Randomly among the Three Nucleotide Positions of the Codon?", J. Mol. Evol. 2(1973) 123–136.

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  3. W.M. Fitch, "The Molecular Evolution of Cytochrome c in Eukaryotes". J. Mol. Evol. 8(1976) 13–40.

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  4. David Penny, "Evolutionary Clock: The Rate of Evolution of Rattlesnake Cytochrome c", J. Mol. Evol. 3(1974) 179–188.

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  5. D.F. Robinson and L.R. Foulds", Comparison of Labelled Trees", J. Comb. Th. (submitted).

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A. F. Horadam W. D. Wallis

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© 1979 Springer-Verlag

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Robinson, D.F., Foulds, L.R. (1979). Comparison of weighted labelled trees. In: Horadam, A.F., Wallis, W.D. (eds) Combinatorial Mathematics VI. Lecture Notes in Mathematics, vol 748. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0102690

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  • DOI: https://doi.org/10.1007/BFb0102690

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09555-2

  • Online ISBN: 978-3-540-34857-3

  • eBook Packages: Springer Book Archive

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