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Vertex colouring, Edge Colouring, List Colouring, Fractional Chromatic Number and other variants of graph colouring problems are all on topic.

3 votes
1 answer
145 views

Does every graph admit an embedding such that identically-colored edges do not cross?

Given a graph, is it always possible to color the edges of the graph using two colors such that there exists an embedding of the graph in the plane where only opposite-colored edges cross? Simple coun …
Tjaden Hess's user avatar