Prove that any minimum vertex cover of a clique of size n must have exactly n-1 vertices [closed]

StackOverflow https://stackoverflow.com/questions/23157074

سؤال

How to prove that any minimum vertex cover of a clique of size n must have exactly n-1 vertices? THx

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المحلول

If there's two vertices from the clique not in a set, then the edge between them isn't covered, so any cover must have at least n-1 vertices. Any subset of n-1 vertices is a cover, trivially.

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