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Aug 4, 2016 at 18:54 vote accept Dominic van der Zypen
Aug 4, 2016 at 16:10 answer added Tony Huynh timeline score: 1
Aug 4, 2016 at 13:51 comment added Dominic van der Zypen Oh - thanks! Do you want to put this in an answer so I can accept&close this, or should I better delete the question?
Aug 4, 2016 at 13:26 comment added Tony Huynh Well, in that case, $k+2$ is achievable. For example, if $n \geq 6$ is even, then $K_n$ minus a perfect matching does not have a $K_{n-1}$-minor.
Aug 4, 2016 at 10:05 history edited Dominic van der Zypen CC BY-SA 3.0
added 59 characters in body
Aug 4, 2016 at 10:00 comment added Dominic van der Zypen Maybe there is a misunderstanding. I am keen to know how many verices at least a graph satisfying 1. and 2. needs. Will edit question accordingly.
Aug 4, 2016 at 9:08 comment added Tony Huynh Such a graph can be arbitrarily large, even for $k=4$. For example, there are arbitrarily large planar graphs with minimum degree $4$.
Aug 4, 2016 at 7:00 history asked Dominic van der Zypen CC BY-SA 3.0