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Feb 6, 2013 at 15:25 comment added Alexey Kvashchuk thank you. I am looking at a non-special case. Just a simple and connected graph. Given the example above I wonder if there are any other features (like Hamiltonian property) that imply non-separability. May be something in terms of, say, min/max degree (δ(G),Δ(G)). There are some results on the upper bound of the number of cut vertices in terms of δ(G)/Δ(G) but none are directly useful as I am interested in the case of zero cut vertices.
Feb 6, 2013 at 12:33 history answered vb le CC BY-SA 3.0