If a graph has a unique MST, then its edge weights are distinct. True or false ? Justify your answer.
closed as unclear what you're asking by Yuval Filmus, Evil, Juho, Discrete lizard♦, David Richerby May 11 '18 at 11:50
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The answer is: not necessarily.
Counterexample: consider a graph that is a tree with all of its edges the same weight. Then the only MST is the entire graph and none of the edge weights are distinct.