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Jul 6, 2014 at 9:37 comment added Hebert Thanks a lot Gerhard. I was just thinking about that construction too. These constructions are very useful examples. However, they are not even regular, let alone vertex-transitive. My impression is that in a vertex-transitive graph these extremal situations cannot occur. I would like to confirm or reject that.
Jul 5, 2014 at 21:12 comment added Gerhard Paseman A similar construction on n ordered points (all edges decreasing except for (i,i+1) ) gives a directed path from 1 to n of length n-1, with the unoriented version being a complete graph of diameter 1. Gerhard "Likes One Downing The Competition" Paseman, 2014.07.05
Jul 5, 2014 at 21:01 history edited user126154 CC BY-SA 3.0
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Jul 5, 2014 at 21:00 comment added user126154 yes, you're right, corrected
Jul 5, 2014 at 10:09 comment added Hebert Well, the oriented diameter should be $n-1$, isn't it?
Jul 5, 2014 at 0:45 history answered user126154 CC BY-SA 3.0