|
EXAMPLE
|
The a(4) = 16 hypergraphs:
{}
{{1,2,3}}
{{1,2,4}}
{{1,3,4}}
{{2,3,4}}
{{1,2,3},{1,2,4}}
{{1,2,3},{1,3,4}}
{{1,2,3},{2,3,4}}
{{1,2,4},{1,3,4}}
{{1,2,4},{2,3,4}}
{{1,3,4},{2,3,4}}
{{1,2,3},{1,2,4},{1,3,4}}
{{1,2,3},{1,2,4},{2,3,4}}
{{1,2,3},{1,3,4},{2,3,4}}
{{1,2,4},{1,3,4},{2,3,4}}
{{1,2,3},{1,2,4},{1,3,4},{2,3,4}}
The following are non-isomorphic representatives of the 8 unlabeled 3-uniform hypergraphs on 6 vertices with no two edges having exactly one vertex in common, and their multiplicities in the labeled case, which add up to a(6) = 271:
1 X {}
20 X {{1,2,3}}
90 X {{1,3,4},{2,3,4}}
10 X {{1,2,3},{4,5,6}}
60 X {{1,4,5},{2,4,5},{3,4,5}}
60 X {{1,2,4},{1,3,4},{2,3,4}}
15 X {{1,5,6},{2,5,6},{3,5,6},{4,5,6}}
15 X {{1,2,3},{1,2,4},{1,3,4},{2,3,4}}
|