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1. Show that if all the weights in a connected weighted graph G are distinct, then there is…

1. Show that if all the weights in a connected weighted graph G are distinct, then there is…

1. Show that if all the weights in a connected weighted graph G are distinct, then there is exactly one minimum spanning tree for G.2. An old MST method, called Baruvka’s algorithm, works as follows on a graphG having n vertices and m edges with distinct weights:Prove that this algorithm is correct and that it runs in O(mlogn) time.