Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Graph theory/topology query
Replies: 3   Last Post: Aug 16, 2012 5:31 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
hagman

Posts: 1,923
Registered: 1/29/05
Re: Graph theory/topology query
Posted: Aug 16, 2012 4:42 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Am Donnerstag, 16. August 2012 22:26:50 UTC+2 schrieb hagman:
> Am Donnerstag, 16. August 2012 16:22:08 UTC+2 schrieb Bill Taylor:
>

> > I am looking at planar graphs that might have distinct,
>
> >
>
> > i.e. non-homotopic, embeddings into the sphere.
>
> >
>
> >
>
> >
>
> > It is easy to construct counter-examples with
>
> >
>
> > 2 distinct embeddings, but they seem to be
>
> >
>
> > very simply connected. Are there any connectivity
>
> >
>
> > or other conditions known that guarantee
>
> >
>
> > mono-embeddability?
>
>
>
> One such condition (probably there are less extreme ones):
>
> If a graph G is maximal planar (if G' is G plus an
>
> arbitrary edge then G' is not planar), then G
>
> is "mono-embeddable".
>


I just red in Wikipedia that 3-connectivity is sufficient for
mono.embeddability

hagman



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.