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Graph theoretical questions with a topological flavour. For example, graphs on surfaces, spatial embeddings, and geometric graphs. Use the graph-drawing tag for questions specific to graph drawing (e.g. crossing numbers).

1 vote

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