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Consider the following weighted graph with 9 vertices and 19 edges. Note that the edge weights are distinct integers between 1 and 19. Question 4

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Consider the following weighted graph with 9 vertices and 19 edges. Note that the edge weights are distinct integers between 1 and 19. Question 4 4.1 Complete the sequence of edges in the MST in the order that Kruskal's algorithm includes them. (6 Marks) 4.2 Suppose the edge D-I of weight w is added to the graph, for which values of w is the edge D-I in an MST? (5 Marks) 4.3 Complete the sequence of edges in the MST in the order that Prim's algorithm includes them. Start Prim's algorithm from vertex A. (6 Marks) 4.4 Given the minimum spanning tree T of a weighted graph G, describes an O(V) algorithm for determining whether or not T remains in a MST after an edge xy of weight w is added Marks)

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