A264683 Number of simple graphs on n nodes which satisfy the Ore criterion for Hamiltonicity.

1, 1, 1, 3, 5, 21, 68, 503, 4942, 128361

Offset

1,4

Comments

Includes complete graphs K_n according to the "vacuous truth" convention that statements like "for all X in Y: P(X)" are true if Y is the empty set.

Links

Table of n, a(n) for n=1..10.

Eric Weisstein's World of Mathematics, Ore Graph

Eric Weisstein's World of Mathematics, Ore's Theorem

Crossrefs

Cf. A264683 (number of Hamiltonian graphs not satisfying Ore's criterion).

Sequence in context: A235136 A153862 A266203 * A286033 A056803 A071706

Adjacent sequences: A264680 A264681 A264682 * A264684 A264685 A264686

Keyword

nonn,more

Author

Eric W. Weisstein, Dec 03 2015

Status

approved