E 10 3 9 4 9. 1 F J 7 G H 3 7 1 6. K L 1) What is the lowest cost path to go from vertex A to vertex L? (Your answer should be a comma separated list of vertices starting with A and ending with L which represents the lowest cost path between the vertices. Example: A, Z, S, Q, L) 2) What is the total cost of the lowest cost path to go from vertex A to vertex L? (Your answer should just be a number) 4.

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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## Shortest Path Problem Using Dijkstra's Algorithm

Use Dijkstra's algorithm to determine the shortest paths starting from vertex A to all other vertices, then answer the 2 questions shown below the graph.

### Graph Description

The graph contains the following vertices and edges with their respective weights (costs):
- Vertex A is connected to:
  - Vertex D (cost: 4)
  - Vertex F (cost: 6)
  - Vertex K (cost: 7)
- Vertex B is connected to:
  - Vertex D (cost: 8)
  - Vertex C (cost: 2)
- Vertex C is connected to:
  - Vertex E (cost: 5)
- Vertex D is connected to:
  - Vertex E (cost: 9)
  - Vertex G (cost: 3)
- Vertex E is connected to:
  - Vertex H (cost: 4)
  - Vertex I (cost: 9)
  - Vertex C (cost: 5)
- Vertex F is connected to:
  - Vertex G (cost: 1)
  - Vertex K (cost: 7)
- Vertex G is connected to:
  - Vertex H (cost: 6)
  - Vertex D (cost: 3)
  - Vertex F (cost: 1)
- Vertex H is connected to:
  - Vertex I (cost: 3)
  - Vertex K (cost: 4)
- Vertex I is connected to:
  - Vertex J (cost: 2)
- Vertex J is connected to:
  - Vertex L (cost: 1)

### Questions

1. What is the lowest cost path to go from vertex A to vertex L?

   (Your answer should be a comma-separated list of vertices starting with A and ending with L which represents the lowest cost path between the vertices. Example: A, Z, S, Q, L)  
   **Answer:** [_____, _____, _____, _____, _____, _____]
   
2. What is the total cost of the lowest cost path to go from vertex A to vertex L?

   (Your answer should just be a number)
   **Answer:** [________]
Transcribed Image Text:## Shortest Path Problem Using Dijkstra's Algorithm Use Dijkstra's algorithm to determine the shortest paths starting from vertex A to all other vertices, then answer the 2 questions shown below the graph. ### Graph Description The graph contains the following vertices and edges with their respective weights (costs): - Vertex A is connected to: - Vertex D (cost: 4) - Vertex F (cost: 6) - Vertex K (cost: 7) - Vertex B is connected to: - Vertex D (cost: 8) - Vertex C (cost: 2) - Vertex C is connected to: - Vertex E (cost: 5) - Vertex D is connected to: - Vertex E (cost: 9) - Vertex G (cost: 3) - Vertex E is connected to: - Vertex H (cost: 4) - Vertex I (cost: 9) - Vertex C (cost: 5) - Vertex F is connected to: - Vertex G (cost: 1) - Vertex K (cost: 7) - Vertex G is connected to: - Vertex H (cost: 6) - Vertex D (cost: 3) - Vertex F (cost: 1) - Vertex H is connected to: - Vertex I (cost: 3) - Vertex K (cost: 4) - Vertex I is connected to: - Vertex J (cost: 2) - Vertex J is connected to: - Vertex L (cost: 1) ### Questions 1. What is the lowest cost path to go from vertex A to vertex L? (Your answer should be a comma-separated list of vertices starting with A and ending with L which represents the lowest cost path between the vertices. Example: A, Z, S, Q, L) **Answer:** [_____, _____, _____, _____, _____, _____] 2. What is the total cost of the lowest cost path to go from vertex A to vertex L? (Your answer should just be a number) **Answer:** [________]
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