A276109 The number of non-isomorphic drawings of the complete graph K_n such that any two edges intersect at most once (a.k.a. "good drawings" or "simple topological graphs").

1, 2, 5, 121, 46999, 502090394

Offset: 3

Author

Manfred Scheucher, Aug 18 2016

Keywords

• nonn
• more

References

• H.-D. O. F. Gronau and H. Harborth, Numbers of nonisomorphic drawings for small graphs, Congressus Numerantium, 71:105-114, 1990.
• H. Harborth and I. Mengersen, Drawings of the complete graph with maximum number of crossings, Congressus Numerantium, 88:225-228, 1992.

Links

• B. M. Ábrego, O. Aichholzer, S. Fernández-Merchant, T. Hackl, J. Pammer, A. Pilz, P. Ramos, G. Salazar, and B. Vogtenhuber, All Good Drawings of Small Complete Graphs, In Proc. 31st European Workshop on Computational Geometry EuroCG '15, pages 57-60, Ljubljana, Slovenia, 2015.
• J. Kynčl, Enumeration of simple complete topological graphs, European Journal of Combinatorics, 30(7):1676-1685, 2009.

Crossrefs

Cf. A000241.

Coincides with A276110 for n <= 5.