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Jun 16, 2015 at 1:47 vote accept Real
Jun 16, 2015 at 1:47 comment added Real That's exactly the question. I'm engineering undergrad so I didn't know the technical graph theory terms. It seems my construction is sightly better than the shown lower bound; is this significant, should I email this to the author? With some effort I'm convinced now you could show $k(n)=a(n)$.
Jun 15, 2015 at 8:34 history answered Joshua Erde CC BY-SA 3.0