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Nov 12, 2015 at 7:33 comment added Katie Edwards I see, sorry about that, I thought you meant for $S$ to be a subset of edges.
Nov 12, 2015 at 5:24 comment added user173856 Yes, here $|S|=2$, the example above is not a counterexample!
Nov 11, 2015 at 23:34 comment added gowers I'm confused: doesn't $|S|=2$ here, since it contains the pairs $(u,x)$ and $(v,y)$?
Nov 11, 2015 at 18:08 history answered Katie Edwards CC BY-SA 3.0