A333728 Maximum number of graceful labelings for a simple graph on n nodes.

1, 2, 12, 48, 168, 1152, 9600, 97920

Offset: 1

Author

Eric W. Weisstein, Apr 03 2020

Keywords

• nonn
• more

Comments

a(9) >= 1491840 (K_1,1,7).

Table of graphs achieving these maxima:

1: K_1

2: K_2 = P_2

3: K_3 = C_3 = K_1,1,1

4: K_4

5: K_1,1,3

6: K_1,1,4

7: K_1,1,5

8: K_1,1,6

a(4) fails to correspond to the diamond graph K_1,1,2 since K_4 has 48 graceful labelings, while K_1,1,2 has only 32.

Crossrefs

Cf. A334307, A339892.

Extensions

a(8) from Eric W. Weisstein, Jul 30 2020