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Question 2: The highway distance between 6 cities named (A .. G) are illustrated in the following adjacency matrix: A BCD E

Question 2: The highway distance between 6 cities named (A .. G) are illustrated in the following adjacency matrix: A BCD E

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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Question 2: The highway distance between 6 cities named (A .. G) are illustrated in the following adjacency matrix: ABCD EF 28 A07 19 * B 7 0 C 10 18 40 19 10 0 16 D 18 16 0 14 14 0 17 10 E 40 12 F 28 17 10 12 a) Draw the graph that represent such adjacency matrix b) List the right sequence of nodes traversed by the DFS and BFS algorithm starting from node A. c) Does this graph possess a Euler circuit/path? does not exist, how the graph can be modified to have one? d) Draw the minimum spanning tree of this graph ( e) Use the Dijkstra's algorithm to determine the shortest paths from city (A) to all other cities (" „ why? If any of them ). Determine the shortest path and cost from node A to node E [Hint: implement the algorithm step by step to show which node will be added in sequence] f) Determine the shortest paths between all pairs of nodes using Floyd-Warshall algorithm. 8
Transcribed Image Text:Question 2: The highway distance between 6 cities named (A .. G) are illustrated in the following adjacency matrix: ABCD EF 28 A07 19 * B 7 0 C 10 18 40 19 10 0 16 D 18 16 0 14 14 0 17 10 E 40 12 F 28 17 10 12 a) Draw the graph that represent such adjacency matrix b) List the right sequence of nodes traversed by the DFS and BFS algorithm starting from node A. c) Does this graph possess a Euler circuit/path? does not exist, how the graph can be modified to have one? d) Draw the minimum spanning tree of this graph ( e) Use the Dijkstra's algorithm to determine the shortest paths from city (A) to all other cities (" „ why? If any of them ). Determine the shortest path and cost from node A to node E [Hint: implement the algorithm step by step to show which node will be added in sequence] f) Determine the shortest paths between all pairs of nodes using Floyd-Warshall algorithm. 8
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