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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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Connection between connectivity and cohesion of a graph

A k-connected graph G, k>0, will be (2k+1)-cohesive. However, one can easily construct a (2k+1)-cohesive graph which is only 1-connected: take two disjoint copies of complete graphs and add one edge b …
Stephen C. Locke's user avatar