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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'?
In this unit, the following four advanced data structures have been practically emphasized. These may be considered as alternative to a height balanced tree, i.e., AVL tree.
Best Case: If the list is sorted already then A[i] T (n) = c1n + c2 (n -1) + c3(n -1) + c4 (n -1) = O (n), which indicates that the time complexity is linear. Worst Case:
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