Question: 2. Minimum Spanning Trees (a) Suppose that Kruskals algorithm is run on the following weighted graph. List, in order, the sequence of edges added by

2. Minimum Spanning Trees (a) Suppose that Kruskals algorithm is run on the following weighted graph. List, in order, the sequence of edges added by the algorithm. B A D F C E 1 G 2 10 9 3 4 7 5 6 8 (b) Prove that Prims algorithm correctly finds a minimum spanning tree. You may assume that all edge weights are distinct. You may also rely on the fact that any edge satisfying the cut property is a safe edge. 2. Minimum Spanning Trees (a) Suppose that Kruskals algorithm is run on

2. Minimum Spanning Trees (a) Suppose that Kruskal's algorithm is run on the following weighted graph. List, in order, the sequence of edges added by the algorithm. 10 5 6 9 7 B B 2 (b) Prove that Prim's algorithm correctly finds a minimum spanning tree. You may assume that all edge weights are distinct. You may also rely on the fact that any edge satisfying the cut property is a safe edge

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