cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A387067 Number of equivalence classes (up to graph homeomorphism) of finite,connected graphs that have an embedding in an orientable surface of genus n which minimally separates the surface of genus n (that is, no proper subset of the embedding separates the genus n surface) but not the surface of genus n-1.

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%I A387067 #11 Aug 18 2025 00:39:17
%S A387067 1,3,17,164,3096,111445
%N A387067 Number of equivalence classes (up to graph homeomorphism) of finite,connected graphs that have an embedding in an orientable surface of genus n which minimally separates the surface of genus n (that is, no proper subset of the embedding separates the genus n surface) but not the surface of genus n-1.
%C A387067 n is called the minimal separating genus.
%D A387067 C. N. Aagaard and J. J. P. Veerman, Classification of Minimal Separating Sets of Low Genus Surfaces, Topology and its Applications, Accepted, 2025.
%e A387067 For genus 0: only the circle.
%e A387067 For genus 1: bouquet of 2 circles, bouquet of 3 circles, 4-fold multi-edge.
%Y A387067 Cf. A384639, A387066, A387068.
%K A387067 nonn,more
%O A387067 0,2
%A A387067 _J. J. P. Veerman_, Aug 15 2025