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Topic: 4 colors problem
Replies: 86   Last Post: Mar 13, 2014 4:36 PM

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quasi

Posts: 10,232
Registered: 7/15/05
Re: 4 colors problem
Posted: Mar 5, 2014 4:42 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

swtchwrds88 wrote:

>Partial coloring using a specific sequence of given 4 colors,

You still don't get it.

I'll try again ...

The 4-color theorem doesn't claim that every partial 4-coloring
of a planar graph can be completed to a full 4-coloring.

The claim of the theorem is that of _all_ possible valid
colorings, at least one of them uses at most 4 colors.

Thus, to show that a given planar graph is a counterexample to
the 4-color theorem, it's not sufficient to produce a partial
4-coloring which can't be completed to a full coloring.

You would have to show that _all_ possible valid colorings use
more than 4 colors, not just the one that you think makes sense.

If you get it -- fine, but I have no more time for this, so I'm
now out of this thread.

quasi

PS:

Google groups offers an option for automatically quoting
the prior message. Look for it.


Date Subject Author
3/3/14
Read 4 colors problem
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Brian Q. Hutchings
3/3/14
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3/4/14
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g.resta@iit.cnr.it
3/3/14
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g.resta@iit.cnr.it
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g.resta@iit.cnr.it
3/4/14
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magidin@math.berkeley.edu
3/4/14
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Port563
3/4/14
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Brian Q. Hutchings
3/4/14
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Port563
3/4/14
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Brian Q. Hutchings
3/4/14
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3/4/14
Read Re: 4 colors problem
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3/4/14
Read there should be a noncomputer proof of 4CT, I agree
Brian Q. Hutchings
3/4/14
Read Re: 4 colors problem
g.resta@iit.cnr.it
3/4/14
Read Re: 4 colors problem
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Port563
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3/5/14
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magidin@math.berkeley.edu
3/5/14
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magidin@math.berkeley.edu
3/5/14
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quasi
3/5/14
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magidin@math.berkeley.edu
3/5/14
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quasi
3/5/14
Read Re: 4 colors problem
magidin@math.berkeley.edu
3/5/14
Read also, what is the spatial analog
Brian Q. Hutchings
3/5/14
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magidin@math.berkeley.edu
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Brian Q. Hutchings
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Virgil
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Virgil
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3/6/14
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Virgil
3/6/14
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Virgil
3/6/14
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Brian Q. Hutchings
3/6/14
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ross.finlayson@gmail.com
3/7/14
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Brian Q. Hutchings
3/7/14
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Robin Chapman
3/6/14
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magidin@math.berkeley.edu
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Peter Percival
3/7/14
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Peter Percival
3/6/14
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3/7/14
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magidin@math.berkeley.edu
3/7/14
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Peter Percival
3/7/14
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Peter Percival
3/7/14
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3/7/14
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3/9/14
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Peter Percival
3/9/14
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magidin@math.berkeley.edu
3/9/14
Read Re: 4 colors problem
Brian Q. Hutchings
3/9/14
Read Re: 4 colors problem
stumblin' in
3/9/14
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3/11/14
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Brian Q. Hutchings
3/13/14
Read Re: 4 colors problem
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3/13/14
Read Re: 4 colors problem
Brian Q. Hutchings
3/13/14
Read Re: 4 colors problem
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