Question: apply Kruskal's algorithm to find a minimum spanning tree of the following graph Indicate whether the following statements are true or false: a. If e
apply Kruskal's algorithm to find a minimum spanning tree of the following graph


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. c. If edge weights of a connected weighted graph are all distinct, the graph must have exactly one minimum spanning tree. d. If edge weights of a connected weighted graph are not all distinct, the graph must have more than one minimum spanning tree. 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. c. If edge weights of a connected weighted graph are all distinct, the graph must have exactly one minimum spanning tree. d. If edge weights of a connected weighted graph are not all distinct, the graph must have more than one minimum spanning tree
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