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A334123
Number of labeled tournaments on n vertices with the maximum number of Hamiltonian paths.
0
1, 2, 2, 24, 64, 480
OFFSET
1,2
COMMENTS
The maximum number of Hamiltonian paths in a tournament on n vertices is given by A038375.
EXAMPLE
For n = 4, the a(4) = 24 labeled tournaments with A038375(4) = 5 Hamiltonian paths are all isomorphic to the tournament on vertices {1,2,3,4} with edges {(1,2),(1,3),(2,3),(2,4),(3,4),(4,1)}, which have the following Hamiltonian paths:
1->2->3->4,
2->3->4->1,
3->4->1->2,
4->1->2->3, and
2->4->1->3.
CROSSREFS
Cf. A038375.
Sequence in context: A131448 A156447 A272641 * A127261 A239531 A194130
KEYWORD
nonn,more
AUTHOR
J. E. Paguyo and Peter Kagey, Apr 14 2020
STATUS
approved