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Construct G for α, n, and W given as command line parameters. Throw away edges that have an asymmetric relation between nodes. That is, if A is connected to B, but B is not connected to A through an edge, remove the directed edge from A to B as well. After this pruning step, we should be left with a graph G' that has only symmetric edges similar to an undirected graph. Now assign each edge a weight randomly picked between [1 W].
Then make your program capable of answering the following queries:
1) Is G' a fully-connected graph? Answer based on a BFS or DFS.
2) Construct the MST of G'. What is the total weight of G'?
Q. Illustrate the result of running BFS and DFS on the directed graph given below using vertex 3 as source. Show the status of the data structure used at each and every stage.
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