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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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Can both conditions about vertex degrees hold true in a planar graph? [closed]

I am working on a problem about planar graphs and trying to understand if two statements can both be true at the same time. The problem states that for any planar graph with at least 3 or more vertice …
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