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Somewhere I read: If every 3-regular, plane graph had a...

<< Back to: sci.math FAQ: The Four Colour Theorem

Question by jost
Submitted on 7/1/2003
Related FAQ: sci.math FAQ: The Four Colour Theorem
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Somewhere I read: If every 3-regular, plane graph had a circle, the adjoining countries of which may be colored with three colors, then the Four Color Theorem would be true.

I know that not every graph of this kind has such a circle. But I don't know why the conclusion is true if it had.


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