Geodesic
Classification of six-point metrics
The electronic journal of combinatorics, Tome 11 (2004) no. 1
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There are $339$ combinatorial types of generic metrics on six points. They correspond to the $339$ regular triangulations of the second hypersimplex $\Delta(6,2)$, which also has $14$ non-regular triangulations.
DOI : 10.37236/1797
Classification : 52B45, 51K05, 05C12 
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     author = {Bernd Sturmfels and Josephine Yu},
     title = {Classification of six-point metrics},
     journal = {The electronic journal of combinatorics},
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     number = {1},
     doi = {10.37236/1797},
     zbl = {1053.52019},
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Bernd Sturmfels; Josephine Yu. Classification of six-point metrics. The electronic journal of combinatorics, Tome 11 (2004) no. 1. doi: 10.37236/1797

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