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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.
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MSO2-expressible graph properties unexpressible in MSO1
I would like to ask if there is any good list of graph properties that one can express in the MSO2 (i.e., using quantification over sets of edges) but provably not in MSO1 (i.e., using quantification …