1. Given Graph G = (V, E) 3 2 a. Find the shortest path from Vertex A to all the other vertices using the greedy algorithm. Write a step-by-step addition of edges and draw the resulting graph. b. Using the brute force method, how many possible paths do you have to check if you are asked to find the cheapest path from Vertex A to Vertex F? c. Does the number of possible paths in a graph also double if you double the number of vertices and edges in a graph? Why or why not? 1 3 7

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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1. Given Graph G = (V, E)
5
3
2
1
3
7
2
2
1
a.
Find the shortest path from Vertex A to all the other vertices using the greedy
algorithm. Write a step-by-step addition of edges and draw the resulting graph.
b. Using the brute force method, how many possible paths do you have to check if you
are asked to find the cheapest path from Vertex A to Vertex F?
c. Does the number of possible paths in a graph also double if you double the number
of vertices and edges in a graph? Why or why not?
Transcribed Image Text:1. Given Graph G = (V, E) 5 3 2 1 3 7 2 2 1 a. Find the shortest path from Vertex A to all the other vertices using the greedy algorithm. Write a step-by-step addition of edges and draw the resulting graph. b. Using the brute force method, how many possible paths do you have to check if you are asked to find the cheapest path from Vertex A to Vertex F? c. Does the number of possible paths in a graph also double if you double the number of vertices and edges in a graph? Why or why not?
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