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Sep 10, 2010 at 10:11 comment added Louigi Addario-Berry Well, it depends on who it is supposed to be non-trivial to. I think the greedy procedure is harder to explain to a layperson than the random one. Also, I imagine the layperson who has a hard time with Markov is also unlikely to be raising questions about efficiency when you give them the existence proof. But it's true that it isn't exact.
Sep 10, 2010 at 5:23 comment added miforbes I know I'm being picky here, but I suppose I'm looking for an algorithm to solve a problem exactly. But further, I don't consider the "derandomized" 2-approximation algorithm for max-cut to be non-trivial - it is just a greedy/conditional-expectation result. (also, the randomized algorithm shows existence apriori, and to get efficiency we need a Markov-type result; not hard but not easily to explain to a layperson)
Sep 10, 2010 at 0:39 history answered Louigi Addario-Berry CC BY-SA 2.5