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Journal of Classification

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05-04-2019

Moduli Space of Families of Positive (n − 1)-Weights

Author: Simone Calamai

Published in: Journal of Classification | Issue 2/2020

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Abstract

We show the geometrical structure of the moduli space of positive-weighted trees with n labels 1,…,n which realize the same family of positive (n − 1)-weights and we characterize them as a family of positive multi-weights.

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Baldisserri, A. (2014). Buneman’s theorem for trees with exactly n vertices. arXiv:1407.0048v1.

Baldisserri, A., & Rubei, E. (2014). On graphlike k-dissimilarity vectors. Annals of Combinatorics, 18(3), 365–381. arXiv:1211.0423v2.MathSciNetCrossRef

Baldisserri, A., & Rubei, E. (2016). Families of multiweights and pseudostars. Advances in Applied Mathematics, 77, 86–100.MathSciNetCrossRef

Baldisserri, A., & Rubei, E. (2018). Treelike families of multiweights. Journal of Classification, 35, 367–390.MathSciNetCrossRef

Billera, L.J., & Holmes, S.P. (2001). Vogtman, geometry of the space of phylogenetic trees. Advances in Applied Mathematics, 27(4), 733–767.MathSciNetCrossRef

Buneman, P. (1974). A note on the metric properties of trees. Journal of Combinatorial Theory, Series B, 17, 48–50.MathSciNetCrossRef

Dress, A., Huber, K.T., Koolen, J., Moulton, V., Spillner, A. (2012). Basic phylogenetic combinatorics. Cambridge: Cambridge University Press.MATH

Hakimi, S.L., & Yau, S.S. (1965). Distance matrix of a graph and its realizability. Quarterly of Applied Mathematics, 22, 305–317.MathSciNetCrossRef

Hermann, S., Huber, K., Moulton, V., Spillner, A. (2012). Recognizing treelike dissimilarities. Journal of Calssification, 29(3), 321–340.MathSciNetCrossRef

Pachter, L., & Speyer, D. (2004). Reconstructing trees from subtree weights. Applied Mathematics Letters, 17(6), 615–621.MathSciNetCrossRef

Pachter, L., & Sturmfels, B. (2004). The tropical Grassmannian. Advances in Geometry, 4, 389–411.MathSciNetMATH

Rubei, E. (2011). Sets of double and triple weights of trees. Annals of Combinatorics, 15(4), 723–734.MathSciNetCrossRef

Rubei, E. (2012). On dissimilarity vectors of general weighted trees. Discrete Mathematics, 312(19), 2872–2880.MathSciNetCrossRef

Simoes Pereira, J.M.S. (1969). A note on the tree realizability of a distance matrix. Journal of Combinatorial Theory, 6, 303–310.MathSciNetCrossRef

Zaretskii, K.A. (1965). Constructing trees from the set of distances between pendant vertices. Uspehi Matematiceskih Nauk, 20, 90–92.MathSciNet

Title: Moduli Space of Families of Positive (n − 1)-Weights
Author: Simone Calamai
Publication date: 05-04-2019
Publisher: Springer US
Published in: Journal of Classification / Issue 2/2020
Print ISSN: 0176-4268
Electronic ISSN: 1432-1343
DOI: https://doi.org/10.1007/s00357-019-9305-2

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