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Nov 17, 2023 at 13:12 history edited Martin Rubey CC BY-SA 4.0
fix off-by-one error
Nov 17, 2023 at 12:50 history edited Sam Hopkins CC BY-SA 4.0
deleted 3 characters in body
Nov 17, 2023 at 12:48 history edited Martin Rubey CC BY-SA 4.0
deleted 92 characters in body
Nov 17, 2023 at 12:37 history edited Martin Rubey CC BY-SA 4.0
add a refinement
Nov 17, 2023 at 12:28 history edited Martin Rubey CC BY-SA 4.0
add a refinement
Nov 16, 2023 at 20:10 comment added Martin Rubey Yes, I meant with the adjustment. If the root vertex and it's two neighbors in the n-gon form a triangle, the adjusted cone construction is not three connected.
Nov 16, 2023 at 19:56 comment added Martin Rubey A000944 is counting isomorphism classes, i.e., unlabelled graphs.
Nov 16, 2023 at 19:55 comment added Sam Hopkins @MartinRubey: why is it non-injective? Is A000944 counting labeled graphs, or isomorphism classes of graphs?
Nov 16, 2023 at 19:52 comment added Martin Rubey Yes, but I think that this is not injective. Perhaps it works if we join the cone vertex to all the original vertices except the root?
Nov 16, 2023 at 18:21 comment added Sam Hopkins Can you do the following: take a triangulation of an n-gon and then add a cone vertex (a vertex connected to all the other ones), to get a 3-connected planar graph?
Nov 16, 2023 at 18:01 comment added Per Alexandersson My prev. answer did not take planarity into consideration - I somehow missed that condition.
Nov 16, 2023 at 10:14 history edited Martin Sleziak CC BY-SA 4.0
edited tags; edited title
Nov 16, 2023 at 9:54 history asked Martin Rubey CC BY-SA 4.0