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What is new in the world of graph theory in the past few years? Beyond the basics?

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    In my opinion this is not the right kind of question for a Stack Exchange site. These sites are designed to answer *specific, focused* questions, not "tell me something interesting about topic X" questions.2011-04-09

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Here(Douglas West's website) is a good site that lists some open problems. Also, see this related question about the relationship between graph theory and homology.