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Minimal spanning tree

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I need help in design algoritem that check for a given Graph if a minimal spanning tree exist without a specific edge.

Mean that for the original graph you find a minimal spannig tree and that spanning tree not include the edge and it is minimal spanning tree of the graph that do include the edge.

The algorithm must run in O(|V| + |E|) when V - vertics and E - edge

 

 

Thank for any help!

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