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Questions about the branch of combinatorics called graph theory (not to be used for questions concerning the graph of a function). This tag can be further specialized via using it in combination with more specialized tags such as extremal-graph-theory, spectral-graph-theory, algebraic-graph-theory, topological-graph-theory, random-graphs, graph-colorings and several others.

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
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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