Notes for AKT-091008-1/0:51:07: Difference between revisions

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Given planer diagram, number of 3-colorings of the edges = number of 4-colorings of the plane divided by the diagram.
Given a planar diagram, number of 3-colorings of the edges = number of 4-colorings of the regions in the plane divided by the diagram.


Bijection using the Klein 4 group as colors and add when crossing edges.
Bijection using the Klein 4 group as colors and add when crossing edges.

Latest revision as of 05:40, 8 November 2011

Given a planar diagram, number of 3-colorings of the edges = number of 4-colorings of the regions in the plane divided by the diagram.

Bijection using the Klein 4 group as colors and add when crossing edges.