Given the following six-node wide area network for which the numbers attached to the links are a measure of the “delay” in using that link (e.g., some lines could be more heavily used than others and therefore have a longer wait time), answer the following question.   What is the shortest path from node A to node D, where shortest path is defined as the path with the smallest sum of the delays on each individual link? Explain exactly how you went about finding that path.

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
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Given the following six-node wide area network for which the numbers attached to the links are a measure of the “delay” in using that link (e.g., some lines could be more heavily used than others and therefore have a longer wait time), answer the following question.

 

What is the shortest path from node A to node D, where shortest path is defined as the path with the smallest sum of the delays on each individual link? Explain exactly how you went about finding that path.

 

The image depicts a weighted hexagonal graph with six vertices labeled A, B, C, D, E, and F. These vertices are connected by the following edges, each with a corresponding weight, indicated in red:

- Edge AB has a weight of 3.
- Edge BC has a weight of 8.
- Edge CD has a weight of 5.
- Edge DE has a weight of 7.
- Edge EF has a weight of 2.
- Edge FA has a weight of 6.
- Additionally, there is a diagonal edge BD with a weight of 4.

This graph can be used to explore concepts such as graph theory, shortest path algorithms, or network optimization. The weights may represent distances, costs, or other measurable metrics between connected points.
Transcribed Image Text:The image depicts a weighted hexagonal graph with six vertices labeled A, B, C, D, E, and F. These vertices are connected by the following edges, each with a corresponding weight, indicated in red: - Edge AB has a weight of 3. - Edge BC has a weight of 8. - Edge CD has a weight of 5. - Edge DE has a weight of 7. - Edge EF has a weight of 2. - Edge FA has a weight of 6. - Additionally, there is a diagonal edge BD with a weight of 4. This graph can be used to explore concepts such as graph theory, shortest path algorithms, or network optimization. The weights may represent distances, costs, or other measurable metrics between connected points.
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