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Posted: August 9th, 2024

If e is a minimum-weight edge in a connected weighted graph

Indicate whether the following statements are true or false:a. If e is a minimum-weight edge in a connected weighted graph, it mustbe among edges of at least one minimum spanning tree of the graph.True.b. If e is a minimum-weight edge in a connected weighted graph, it mustbe among edges of each minimum spanning tree of the graph.False.c. If edge weights of a connected weighted graph are all distinct, thegraph must have exactly one minimum spanning tree.Trued. If edge weights of a connected weighted graph are not all distinct,the graph must have more than one minimum spanning tree.False

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