A296417 Number of non-isomorphic abstract almost-equidistant graphs on n vertices in R^5. A graph G is abstract almost-equidistant in R^5 if the complement of G does not contain K_3 and G does not contain K_7 nor K_{3,3,3}.

1, 2, 3, 7, 14, 38, 106, 402, 1817, 11132, 86053, 803299, 7623096, 58770989

Offset

1,2

Comments

A set of points in R^d is called almost equidistant if for any three points, some two are at unit distance.

Links

Table of n, a(n) for n=1..14.

Martin Balko, Attila Pór, Manfred Scheucher, Konrad Swanepoel, and Pavel Valtr, Almost-equidistant sets, arXiv:1706.06375 [math.MG], 2017.

Martin Balko, Attila Pór, Manfred Scheucher, Konrad Swanepoel, and Pavel Valtr, Almost-equidistant sets [supplemental data], 2017.

Crossrefs

Cf. A296414, A296415, A296416, A296418, A006785.

Sequence in context: A296416 A049367 A089790 * A296418 A006785 A274538

Adjacent sequences: A296414 A296415 A296416 * A296418 A296419 A296420

Keyword

nonn,fini

Author

Manfred Scheucher, Dec 11 2017

Status

approved