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Topic: A New Graph Coloring Conjecture.
Replies: 42   Last Post: Jul 2, 2013 4:08 AM

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Tucsondrew@me.com

Posts: 725
Registered: 5/24/13
Re: A New Graph Coloring Conjecture.
Posted: Jun 18, 2013 6:46 PM
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On Tuesday, June 18, 2013 3:14:41 PM UTC-7, bill wrote:
> Conjecture: A graph is four-colorable, if it does not contain a complete K5 sub graph.

If a graph does not contain a complete K5 sub-graph then either,

1. The graph is planar.

OR

2. The graph contains a K3,3 sub-graph.

So, we must prove that we can take a planar graph and
append any finite number of K3,3 sub-graphs and still have
a four colored new graph.

This is, of couse, takes in account the fact that every planar graph
is at most four colored.

ZG


Date Subject Author
6/18/13
Read A New Graph Coloring Conjecture.
b92057@yahoo.com
6/18/13
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Tucsondrew@me.com
6/18/13
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Tucsondrew@me.com
6/18/13
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quasi
6/18/13
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Tucsondrew@me.com
6/18/13
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quasi
6/19/13
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trj
6/20/13
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6/20/13
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quasi
6/20/13
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6/22/13
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6/23/13
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quasi
6/25/13
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6/25/13
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quasi
6/25/13
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6/26/13
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quasi
6/26/13
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Brian Q. Hutchings
6/27/13
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6/27/13
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quasi
6/27/13
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6/27/13
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quasi
6/27/13
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6/28/13
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6/28/13
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quasi
6/28/13
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6/29/13
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7/1/13
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7/2/13
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6/19/13
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6/19/13
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quasi
6/20/13
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6/20/13
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Tucsondrew@me.com
6/21/13
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quasi
6/21/13
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quasi
6/22/13
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6/23/13
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quasi
6/19/13
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6/20/13
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quasi
6/20/13
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quasi
6/20/13
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Butch Malahide
6/20/13
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Butch Malahide
6/19/13
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6/20/13
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