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Problem 4. Consider the following undirected graph in which the number on each edge indicates its weight. 1) Using Prim's algorithm to get its minimum spanning tree (MST), starting from node 16. Indicate the search order of all nodes and edges (e.g., 16 -> 15 -> ..* -> 1 for nodes, and (16,15) -> (15,14) -> ... -> (2, 1) for edges). 2) Explicitly show the MST on the graph (or, draw one if you cannot print), and calculate the minimum total weight. 4 10 15 11 13 10 8. 7 10 14 11 13 16 10 15 17 11 17 12 7 9. 4 12 6. 3 17 16 14 20 15 10 18 8. 33

Problem 4. Consider the following undirected graph in which the number on each edge indicates its weight. 1) Using Prim's algorithm to get its minimum spanning tree (MST), starting from node 16. Indicate the search order of all nodes and edges (e.g., 16 -> 15 -> ..* -> 1 for nodes, and (16,15) -> (15,14) -> ... -> (2, 1) for edges). 2) Explicitly show the MST on the graph (or, draw one if you cannot print), and calculate the minimum total weight. 4 10 15 11 13 10 8. 7 10 14 11 13 16 10 15 17 11 17 12 7 9. 4 12 6. 3 17 16 14 20 15 10 18 8. 33

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Problem 4. Consider the following undirected graph in which the number on each edge indicates its weight. 1) Using Prim's algorithm to get its minimum spanning tree (MST), starting from node 16. Indicate the search order of all nodes and edges (e.g., 16 -> 15 -> ... -> 1 for nodes, and (16,15) -> (15,14) -> ·… -> (2, 1) for edges). 2) Explicitly show the MST on the graph (or, draw one if you cannot print), and calculate the minimum total weight. 4 10 15 6. 11 13 2 8. 7 10 10 14 11 13 16 10 15 17 17 12 7 9 4. 12 6. 17 16 14 20 3 15 10 18 8. 33 11
Transcribed Image Text:Problem 4. Consider the following undirected graph in which the number on each edge indicates its weight. 1) Using Prim's algorithm to get its minimum spanning tree (MST), starting from node 16. Indicate the search order of all nodes and edges (e.g., 16 -> 15 -> ... -> 1 for nodes, and (16,15) -> (15,14) -> ·… -> (2, 1) for edges). 2) Explicitly show the MST on the graph (or, draw one if you cannot print), and calculate the minimum total weight. 4 10 15 6. 11 13 2 8. 7 10 10 14 11 13 16 10 15 17 17 12 7 9 4. 12 6. 17 16 14 20 3 15 10 18 8. 33 11
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