Question: leta connected graph G = (V,E) have distinct postitive weight edges & T be a spanning tree of G, unkown if it is a Minimum

leta connected graph G = (V,E) have distinct postitive weight edges & T be a spanning tree of G, unkown if it is a Minimum Spanning Tree. The dominant edge of T is the edge with the greatest weight. A spanning tree is said to be a minimax spanning tree if there is no other spanning tree with a lower-weight dominant edge. In other words, a minimax tree minimizes the weight of the heaviest edge (instead of minimizing the overall sum of edge weights). Is every Minimum Spanning Tree of G also a minmax spanning tree of G, and is every min max spanning tree of G also a mininum spanning tree of G?

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