Question: Let T be a minimum spanning tree of graph G obtained by Prims algorithm. Let Gnew be a graph obtained by adding to G a

Let T be a minimum spanning tree of graph G obtained by Prims algorithm. Let Gnew be a graph obtained by adding to G a new vertex and some edges, with weights, connecting the new vertex to some vertices in G. Can we construct a minimum spanning tree of Gnew by adding one of the new edges to T ? If you answer yes, explain how; if you answer no, explain why not.

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