A053043 Number of facets of hypermetric correlation cone.

3, 12, 40, 210, 3773

Offset: 2

Author

N. J. A. Sloane, Feb 25 2000

Keywords

• nonn
• nice
• more

Comments

In Table 1 of Deza & Dutour Sikirić 2018 (also in Table 13.1 on p. 223 of "Generalizations of Finite Metrics and Cuts"), the same initial terms are given for the number of facets of the hypermetric cone HYP_{n-1}, with the next term 298592. However, the hypermetric cone HYP and the hypermetric correlation cone HYCO apparently have different definitions. - Andrey Zabolotskiy, Jun 25 2022

References

• M. Deza and V. Grishukhin, Voronoi L-decomposition of PSD_n and the hypermetric correlation cone, pp. 75-79 of Voronoi's Impact on Modern Science, ed. P. Engel and H. Syta, 2 vols, Inst. Math., Nat. Acad. Sci. Ukraine, Kiev 1998.
• Elena Deza, Michel Deza and Mathieu Dutour Sikirić, Generalizations of Finite Metrics and Cuts, World Scientific, 2016.

Links

• Michel Deza and Mathieu Dutour Sikirić, The hypermetric cone and polytope on eight vertices and some generalizations, Journal of Symbolic Computation, 88 (2018), 67-84.

Crossrefs

Cf. A235459.