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I asked a question and posted it. Immediately I saw a flaw and deleted it hastily. Now I want it back to correct it.

What to do?

Thanks for any help.

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  • $\begingroup$ If you want it undeleted then ping me. $\endgroup$ – Bill Dubuque Aug 9 '12 at 23:07
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    $\begingroup$ @BillDubuque: I already did :-) $\endgroup$ – robjohn Aug 9 '12 at 23:08
  • $\begingroup$ [I believe only 10k+ users can see deleted answers/questions; with the two caveats that users can see their own deleted answers, and can see their own deleted questions before they refresh or close the browser tab it's on.] $\endgroup$ – anon Aug 9 '12 at 23:11
  • $\begingroup$ Thanks to all of you. Now I know! $\endgroup$ – Hans-Peter Stricker Aug 9 '12 at 23:28
  • $\begingroup$ See also: Is there any way to see my deleted questions or answers? $\endgroup$ – Martin Sleziak Jul 27 '17 at 3:19
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The original post is below:


I am not in algebraic topology or geometry or anything like this, but accidentally I came about the following question:

Given a connected closed oriented surface $S$ in $\mathbb{R}^3$, e.g. a ball, a torus, etc.

Consider the family of vertex-transitive graphs embeddable into $S$. Such an embedded vertex-transitive graph may be seen as a homogeneous covering or "coordinate system" - no distinguished origin, no distinguished directions.

For a given surface $S$ consider the sequence of degrees of embeddable vertex-transitive graphs $\Delta$.

Examples:

  • For the torus the sequence is $\lbrace 3,4,6 \rbrace$ (I guess)

  • For the ball, its just $\lbrace 3 \rbrace$

Question:

  • Is this sequence characteristic for a surface (connected closed oriented, in $\mathbb{R}^3$)?

  • (How) can it - eventually - be calculated from the usual (Euler) characteristic?

  • Is one of max($\Delta$) or min($\Delta$) directly related to another characteristic of the surface $S$?

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