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Apr 13, 2017 at 12:58 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Jan 10, 2014 at 10:21 vote accept joro
Jan 5, 2014 at 16:54 comment added Wolfgang I see you dropped the 3-connectedness. Your example is only 2-connected. Take the H-cycle 1 5 7 11 3 9 0 4 8 6 2 10 and you'll see that (2,9) or (3,10) are cutting edges. I haven't checked the connectedness of your gadgets below, though.
Dec 29, 2013 at 15:27 answer added joro timeline score: 2
Dec 27, 2013 at 14:41 comment added nvcleemp Just as a confirmation: there is exactly one 4-regular graph $G$ on 12 vertices with $\rho(G)=1$. No 4-regular graphs on less vertices has $\rho$ equal to 1.
Dec 27, 2013 at 14:21 history asked joro CC BY-SA 3.0