Use Prims's algorithm to find a minimum spanning tree for the following graph. Start from vertex A, and show the edges added to the tree one by one. Start with node A. Show the priority cue during different iterations of the algorithm. Show the final minimum spanning tree. What is its cost of the minimum spanning tree ? How many minimum spanning trees does the given graph have? What is the running time of Prim's algorithm? (Justify your answer)
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However, I'll assume a simple graph structure based on the weights provided and the vertices mentioned (A, B, D) to illustrate how Prim's algorithm works. Let's assume the graph is connected in some way where all vertices are reachable from A, and the weights Show more…
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