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hagman
Posts:
1,923
Registered:
1/29/05
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Re: Graph theory/topology query
Posted:
Aug 16, 2012 4:42 PM
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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:
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> > I am looking at planar graphs that might have distinct,
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> > i.e. non-homotopic, embeddings into the sphere.
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> > It is easy to construct counter-examples with
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> > 2 distinct embeddings, but they seem to be
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> > very simply connected. Are there any connectivity
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> > or other conditions known that guarantee
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> > mono-embeddability?
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> One such condition (probably there are less extreme ones):
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> If a graph G is maximal planar (if G' is G plus an
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> arbitrary edge then G' is not planar), then G
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> is "mono-embeddable".
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I just red in Wikipedia that 3-connectivity is sufficient for
mono.embeddability
hagman
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