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Classification of six-point metrics. (English) Zbl 1053.52019

Summary: 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.

MSC:

52B45 Dissections and valuations (Hilbert’s third problem, etc.)
51K05 General theory of distance geometry
05C12 Distance in graphs
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