A346179 Number of nonisomorphic vertex-transitive tournaments of order 2n-1.

1, 1, 1, 2, 3, 4, 6, 16, 16, 30, 110, 94, 214, 694, 586, 1096, 3280, 5472, 7286, 25206, 26216, 49940, 196624, 182362, 407856, 907116

Offset: 1

Author

Brendan McKay, Jul 09 2021

Keywords

• nonn
• hard
• more

Comments

The circulant tournaments A049288 are included.

Up to 49 vertices, non-circulant vertex-transitive tournaments occur on 21, 25, 27, 39, 45 and 49 vertices.

Links

• Brendan McKay, vertex-transitive tournaments

Crossrefs

If the automorphism group contains a full-length cycle, the tournament is circulant and is counted by A049288.

Cf. A060747.