a) Consider the following set of values and use them to build a max-heap by adding one value at a time in the order listed: (+10) 30 63 2 89 16 24 19 52 27 9 4 45 b) How can the number of strongly connected components of a graph change if a new edge is added? (+5) c) Given the following tree grow figure, please give a brief definition about Prim's and Kruskal's MST search and Dijkstra's shortest paths. Explain the differences in terms of greedy choice at each iteration (+15).

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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a) Consider the following set of values and use them to build a max-heap by adding one
value at a time in the order listed: (+10)
30 63 2 89 16 24
19 52 27 9 4 45
b) How can the number of strongly connected components of a graph change if a new
edge is added? (+5)
c) Given the following tree grow figure, please give a brief definition about Prim's and
Kruskal's MST search and Dijkstra's shortest paths. Explain the differences in terms
of greedy choice at each iteration (+15).
Transcribed Image Text:a) Consider the following set of values and use them to build a max-heap by adding one value at a time in the order listed: (+10) 30 63 2 89 16 24 19 52 27 9 4 45 b) How can the number of strongly connected components of a graph change if a new edge is added? (+5) c) Given the following tree grow figure, please give a brief definition about Prim's and Kruskal's MST search and Dijkstra's shortest paths. Explain the differences in terms of greedy choice at each iteration (+15).
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