Question: Prove that if k is a positive integer and d(s, t) > (|V | 2 k)/k, then there is some set U V {s,

Prove that if k is a positive integer and d(s, t) > (|V | 2 k)/k, then there is some set U V \ {s, t} such that |U | < k and every path from s to t includes at least one vertex from U . (This directly generalizes part the previous proof we did, which is the k = 2 case.)

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