Construct a minimum spanning tree, Data Structure & Algorithms

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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'?


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