Content deleted Content added
m updated numbers |
|||
Line 87:
The number of abstract simplicial complexes whose vertices are exactly ''n'' labeled elements is given by the sequence "1, 2, 9, 114, 6894, 7785062, 2414627396434, 56130437209370320359966, 286386577668298410623295216696338374471993" {{OEIS|id=A006126}}, starting at ''n'' = 1. This corresponds to the number of antichain covers of a labeled ''n''-set; there is a clear bijection between antichain covers of an ''n''-set and simplicial complexes on ''n'' elements described in terms of their maximal faces.
The number of abstract simplicial complexes on exactly ''n'' unlabeled elements is given by the sequence "1, 2, 5, 20, 180, 16143, 489996795, 1392195548399980210" {{OEIS|id=A006602}}, starting at ''n'' = 1.
== Computational problems ==
| |||