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Cut property of minimum spanning trees states

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The cut property of minimum spanning trees states that, if an edge e is the shortest edge across some cut in a graph (with distinct edge weights), then e belongs to the minimum spanning tree. A form of the reverse implication is also true: If an edge e belongs to the minimum spanning tree of a graph, then the graph has a cut for which e is the shortest crossing edge. Explain why.

Reference no: EM133266205

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