Indicate whether the following statements are true or false: a. If e is a minimum-weight edge in a connected weighted graph, it must be among edges of at least one minimum spanning tree of the graph. b. If e is a minimum-weight edge in a connected weighted graph, it must be among edges of each minimum spanning tree of the graph. E. If edge weights of a connected weighted graph are all distinct, the graph must have exactly one minimum spanning tree.

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A:

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A: Given:

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A: BELOW ? STEP BY STEP COMPLETE SOLUTION REGARDING YOUR PROBLEM WITH EXPLANATIONS .

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A: Please give positive ratings for my efforts. Thanks.   ANSWER

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A: Answer:

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A: The answer is

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A: Here's the solution:

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A: I have complete explanation of graph. See below steps.

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