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Suppose that we want to find a minimum spanning tree of the graph shown on Figure 1. •Run Prim’s algorithm on this graph. Start from vertex A and whenever there is a choice of vertices, always select in the alphabetic order. Draw a table showing the intermediate values at each step or state the order of in which the MST edges are added by the algorithm. •Run Kruskal’s algorithm on the same graph. Clearly show the disjoint-set data structure (i.e., the structure of the directed trees) at every intermediate step, assuming union using path compression or mention the order the edges are added to the MST.

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The edges are added to MST in the following order:
Prim: AC, CD, AB, DI...

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