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Jan 7, 2010 at 4:29 comment added Joseph Malkevitch The edge coloring of 3-valent planar graphs with 3 colors is sometimes referred to as a Tait Coloring. In the dual, since planar graphs have duals, this means coloring the edges of triangles so that each triangle's edges get three different colors.
Jan 7, 2010 at 4:17 comment added Kristal Cantwell Yes it is knownI posted about it including a reference to an article containing that result.
Jan 7, 2010 at 4:13 history answered Anton Petrunin CC BY-SA 2.5