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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.

5 votes

Easier induction proofs by changing the parameter

Perhaps Ramsey's theorem, where the existence of R(n) is proved by showing the existence of R(n,m), using induction on n+m. I don't think there's a direct proof without this trick.
Lloyd Smith's user avatar