A053043 Number of facets of hypermetric correlation cone.

3, 12, 40, 210, 3773

Offset

2,1

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

Table of n, a(n) for n=2..6.

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.

Sequence in context: A222610 A162970 A126725 * A263102 A038345 A336337

Adjacent sequences: A053040 A053041 A053042 * A053044 A053045 A053046

Keyword

nonn,nice,more

Author

N. J. A. Sloane, Feb 25 2000

Status

approved