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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
When are the 3-colorings of vertex subsets uncorrelated?
Old question and OP probably knows this stuff already, but I thought I'd address it in detail in case someone else comes across it. What you describe is closely related to various notions of irreducib …
2
votes
Probabilistic problem on random spanning trees
This is not really an answer, but it's a suggestion of where to look for a counterexample. I played around for a few hours and couldn't quite get the parameters working, and it's possible they're unwo …