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A333728 Maximum number of graceful labelings for a simple graph on n nodes. 2

%I #28 Dec 21 2020 17:13:42

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

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

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

%C Table of graphs achieving these maxima:

%C 1: K_1

%C 2: K_2 = P_2

%C 3: K_3 = C_3 = K_1,1,1

%C 4: K_4

%C 5: K_1,1,3

%C 6: K_1,1,4

%C 7: K_1,1,5

%C 8: K_1,1,6

%C 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.

%Y Cf. A334307, A339892.

%K nonn,more

%O 1,2

%A _Eric W. Weisstein_, Apr 03 2020

%E a(8) from _Eric W. Weisstein_, Jul 30 2020

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Last modified August 22 09:18 EDT 2024. Contains 375369 sequences. (Running on oeis4.)