Geodesic
Dissimilarity vectors of trees are contained in the tropical Grassmannian
The electronic journal of combinatorics, Tome 17 (2010)

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In this short writing, we prove that the set of $m$-dissimilarity vectors of phylogenetic $n$-trees is contained in the tropical Grassmannian ${\cal G}_{m,n}$, answering a question of Pachter and Speyer. We do this by proving an equivalent conjecture proposed by Cools.
DOI : 10.37236/455
Classification : 05C05
Mots-clés : dissimilarity vectors, phylogenetic tree, tropical Grassmannian 
Benjamin Iriarte Giraldo. Dissimilarity vectors of trees are contained in the tropical Grassmannian. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/455
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     author = {Benjamin Iriarte Giraldo},
     title = {Dissimilarity vectors of trees are contained in the tropical {Grassmannian}},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/455},
     zbl = {1184.05023},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/455/}
}
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