User talk:Lovegoodscience

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Please remember to sign your messages on talk pages by typing four tildes ( ~ ); this will automatically insert your username and the date. If you need help, check out Questions, ask me on my talk page, or to ask for help on your talk page, and a volunteer should respond shortly. Again, welcome! JoergenB (talk) 21:08, 3 February 2015 (UTC)

"Disconnectivity" of two kinds.
Thanks for your recent edit in the article Connectivity (graph theory), and especially for your new illustration!

However, as far as I can see, the illustration you removed was not containing any error, nor did its accompagnying text. There indeed exists one vertex in the leftmost grey area, such that removing it (and thus also removing the edges adjacent to it) will make the rest of the graph disconnected. This illustrates one way of "disconnecting" a graph with "minimal effort".

Your illustration illustrates the other way of doing this, i.e., by removing just one edge (and no vertices). Thus, IMO, the two illustrations form a good pair of illustrations together, since one is related to vertex-connectivity, and the other to edge-connectivity. I therefore restored the old image, but also kept yours.

Best regards, JoergenB (talk) 21:08, 3 February 2015 (UTC)