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Suppose that a graph has distinct edge weights. Does its shortest edge have to belong to the MST? Can its longest edge belong to the

Suppose that a graph has distinct edge weights. Does its shortest edge have to belong to the MST? Can its longest edge belong to the MST? Does a min-weight edge on every cycle have to belong to the MST? Prove your answer to each question or give a counter example.

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Scientific And Statistical Database Management 21st International Conference Ssdbm 2009 New Orleans La Usa June 2009 Proceedings Lncs 5566

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