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3. (a) Suppose that G is a weighted directed graph that shows different paths from home to office as follows, where the weight of the edge from vertex 8 to vertex 9 is the "last two digits of your ID". Now, we want to seek the shortest path for driving from home to office. Find the shortest path considering node 1 as the starting node to all other nodes using Dijkstra's algorithm and show each step in detail. 12 15 Home 15 Office

3. (a) Suppose that G is a weighted directed graph that shows different paths from home to office as follows, where the weight of the edge from vertex 8 to vertex 9 is the "last two digits of your ID". Now, we want to seek the shortest path for driving from home to office. Find the shortest path considering node 1 as the starting node to all other nodes using Dijkstra's algorithm and show each step in detail. 12 15 Home 15 Office

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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My id last two digit : 21

3. (a) Suppose that G is a weighted directed graph that shows different paths from home to office as follows, where the weight of the edge from vertex 8 to vertex 9 is the "last two digits of your ID". Now, we want to seek the shortest path for driving from home to office. Find the shortest path considering node 1 as the starting node to all other nodes using Dijkstra's algorithm and show each step in detail. 12 15 Home 9 15 Office 3 Your answer 3. (b) Given a weighted, directed graph G = (V, E) with source vertex S, and weight function W and assume that G contains negative-weight cycles that are reachable from S. Then, for each vertex V, there is a path from S to V. Argue that BELLMAN-FORD algorithm correctly finds shortest paths from S in this graph.
Transcribed Image Text:3. (a) Suppose that G is a weighted directed graph that shows different paths from home to office as follows, where the weight of the edge from vertex 8 to vertex 9 is the "last two digits of your ID". Now, we want to seek the shortest path for driving from home to office. Find the shortest path considering node 1 as the starting node to all other nodes using Dijkstra's algorithm and show each step in detail. 12 15 Home 9 15 Office 3 Your answer 3. (b) Given a weighted, directed graph G = (V, E) with source vertex S, and weight function W and assume that G contains negative-weight cycles that are reachable from S. Then, for each vertex V, there is a path from S to V. Argue that BELLMAN-FORD algorithm correctly finds shortest paths from S in this graph.
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