Total weight of minimum spanning tree, Data Structure & Algorithms

a) Run your program for α = 0.05, 0.5, and 0.95. You can use n = 30, and W = 10. What is impact of increasing value of α on connectivity of G'? To answer this question, for each value of α, test the graph for connectivity three times and use those three instances to base your answer.

b) For α = 0.5 and W = 10, how does total weight of MST vary with n? You can show a plot varying n from 10 to 50 in steps of 10 on the x-axis, and plotting MST weight on the y-axis. Why do you think the MST weight pattern is the way it is for increasing n?

Hand In:

Report, with source code attached as appendix. A brief description in your report on your code structure is needed. You could also explain how you are testing connectivity in your code, and what algorithm you are using for creating an MST.

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