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

1 vote

Crossing number of some Sphere of Influence Graphs and relation to their coloring number

I believe that it's not the direction after all. If we look at the geometric question than we get the there exists no such k (the proof is very trivial, take unbounded connected components of 4 inters …
I am not Paul Erdos's user avatar
2 votes
2 answers
186 views

Crossing number of some Sphere of Influence Graphs and relation to their coloring number

My motivation is to apply some graph theoretic methods in real analysis (like in a simple proof that every open real set $ A $ is coutable union of disjoint graph - take the connected component of the …
I am not Paul Erdos's user avatar