A tropical interpretation of \(m\)-dissimilarity maps

DOI10.1016/j.amc.2009.02.031zbMath1220.05016arXiv0803.2184OpenAlexW1988622583MaRDI QIDQ1026309

Cristiano Bocci, Filip Cools

Publication date: 24 June 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2184

zbMATH Keywords

treeGrassmanniantropical geometrydissimilarity map

Mathematics Subject Classification ID

Trees (05C05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Distance in graphs (05C12)

Related Items (8)

Families of multiweights and pseudostars ⋮ Weighted graphs with distances in given ranges ⋮ Dissimilarity maps on trees and the representation theory of \(\mathrm{SL}_{m}(\mathbb C)\) ⋮ The split decomposition of a \(k\)-dissimilarity map ⋮ Sets of double and triple weights of trees ⋮ A characterization of dissimilarity families of trees ⋮ On the relation between weighted trees and tropical Grassmannians ⋮ Recognizing treelike \(k\)-dissimilarities

Cites Work

• How to draw tropical planes
• Perfect matroids
• Valuated matroids
• Distance realization problems with applications to internet tomography
• Geometry of the space of phylogenetic trees
• Reconstructing trees from subtree weights.
• A note on the metric properties of trees
• Tropical Linear Spaces
• The tropical Grassmannian
• Distance matrix of a graph and its realizability
• Algebraic Statistics for Computational Biology
• Algorithms in invariant theory

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