quasi
Posts:
12,021
Registered:
7/15/05


Re: 4 colors problem
Posted:
Mar 5, 2014 4:42 PM


swtchwrds88 wrote:
>Partial coloring using a specific sequence of given 4 colors,
You still don't get it.
I'll try again ...
The 4color theorem doesn't claim that every partial 4coloring of a planar graph can be completed to a full 4coloring.
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 4color theorem, it's not sufficient to produce a partial 4coloring 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.

