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Apr 11, 2014 at 7:48 comment added Janne Kokkala More precise: If we label the vertices by their coordinates in $\{1,2,\dots,m\}^k$, the lexicographically smallest vertex in the subgraph can't have more than $k$ neighbours (otherwise one of them would be lexicographically smaller).
Apr 10, 2014 at 18:05 comment added BPN Thanks! I suspect a complete characterisation might be hopeless to begin with, so every example tells us something.
Apr 10, 2014 at 17:49 history edited Peter Dukes CC BY-SA 3.0
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Apr 10, 2014 at 17:24 history answered Peter Dukes CC BY-SA 3.0