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Sturmfels, Bernd; Yu, Josephine

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

Electron. J. Comb. 11, No. 1, Research paper R44, 16 p. (2004).

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.

Cited in 16 Documents

MSC:

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

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