Snark Theorem Equivalent to the 4CT.
- From: bill <b92057@xxxxxxxxx>
- Date: Sat, 07 Jul 2007 14:15:53 -0700
The "snark theorem" (paraphrased) says the statement that
"all snarks are non-planar" is equivalent to the 4CT.
The exsitence of a planar snark would prove the 4CT to be false; ie
1, A snark in not 3 edge colorable
2. Therefore the snark is cannot be 4 face colorable,
and the 4CT is false.
But is the absence of a planar snark sufficient to prove the 4CT true?
Bill J
.
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