A384639 Number of equivalence classes (up to graph homeomorphism) of finite graphs that have an embedding in an orientable surface of genus n which minimally separates the surface (that is, no proper subset of the embedding separates the genus n surface).

1, 5, 26, 217, 3555, 118993

Offset: 0

Author

J. J. P. Veerman, Aug 13 2025

Keywords

• more
• nonn

Examples

			For genus 0: only the circle.
For genus 1: 1 circle, 2 circles, bouquet of 2 circles, bouquet of 3 circles, 4-fold multi-edge.
		

References

• C. N. Aagaard and J. J. P. Veerman, Classification of Minimal Separating Sets of Low Genus Surfaces, Topology and its Applications, Accepted, 2025.
• J. Bernhard and J. J. P. Veerman, The Topology of Surface Mediatrices, Topology and its Applications, 154, 54-68, 2007.

Crossrefs

Cf. A387066, A387067, A387068.