A330698 Numbers k such that there exists a non-Cayley vertex-transitive graph of order k.

10, 15, 16, 18, 20, 24, 26, 28, 30, 32, 34, 35, 36, 40, 42, 44, 45, 48, 50, 51, 52, 54, 56, 57, 58, 60, 63, 64, 65, 66, 68, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 88, 90, 91, 92, 96, 98, 99, 100, 102, 104, 105, 106, 108, 110, 111, 112, 114, 116, 117, 119, 120, 122, 124

Offset: 1

Author

M. Farrokhi D. G., Dec 26 2019

Keywords

• nonn

Comments

Numbers k for which A185959(k) < A006799(k).

Numbers k for which A006792(k) <> 0.

In the Farrokhi reference, a Cayley number is a number k such that all vertex transitive graphs of order k are Cayley graphs.

Links

• M. Farrokhi D. G., List of known non-Cayley numbers less than or equal to 1000000
• M. Farrokhi D. G., Cayley numbers
• M. Farrokhi D. G., Cayley numbers (GitHub)

Crossrefs

Cf. A006792, A006799, A185959, A330697.