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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

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OFFSET

0,2

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.

LINKS

Table of n, a(n) for n=0..5.

EXAMPLE

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.

CROSSREFS

Cf. A387066, A387067, A387068.

Sequence in context: A007286 A305201 A099032 * A277489 A094652 A027529

Adjacent sequences: A384636 A384637 A384638 * A384640 A384641 A384642

KEYWORD

more,nonn

AUTHOR

J. J. P. Veerman, Aug 13 2025

STATUS

approved

URL: https://oeis.org/A384639

⇱ A384639 - OEIS