5.03-3. Dijkstra's Algorithm (3, part 3). Consider the network shown below, and Dijkstra's link-state algorithm. Here, we are interested in computing the least cost path from node E to all other nodes using Dijkstra's algorithm. Using the algorithm statement used in the textbook and its visual representation, complete the "Step 2" row in the table below showing the link state algorithm's execution by matching the table entries (i), (ii), (iii), (iv) and (v) with their values. Write down your final [correct] answer, as you'll need it for the next question. Step 0 (i) E (iii) (iv) (v) - 2 1 A 2 3 2 B 8 N' E € 10 E 2 (ii) F A D(A),p(A) D(B) [Choose ] 6,F 1,E 8,F 4,E EFB 8,D 6,D EFD 9,D [Choose ] [Choose ] [Choose ] [Choose ] [Choose ] < F D(F),p(F) 2,E

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### Dijkstra's Algorithm (3, part 3)

Consider the network shown below and Dijkstra’s link-state algorithm. Here, we are focused on computing the least cost path from node E to all other nodes using Dijkstra’s algorithm. Using the algorithm statement and its visual representation, complete the "Step 2" row in the table below to show the algorithm’s execution by matching the table entries (i), (ii), (iii), (iv), and (v) with their values. Write down your final [correct] answer, as you’ll need it for the next question.

#### Diagram Description:

The diagram displays a network of six nodes labeled A, B, C, D, E, and F with weighted edges indicating the cost to traverse from one node to another. The node E is marked in red. The weights are as follows:
- A to B: 10
- A to C: 3
- A to D: 2
- B to F: 2
- C to B: 4
- C to D: 11
- D to F: 7

#### Table:

| Step | N' | D(A),p(A) | D(B),p(B) | D(C),p(C) | D(D),p(D) | D(F),p(F) |
|------|----|-----------|-----------|-----------|-----------|-----------|
| 0    | E  | *         | *         | *         | *         | *         |
| 1    | *  | *         | *         | *         | *         | 2,E       |
| 2    | (i)| (ii)      | (iii)     | (iv)      | (v)       | *         |

#### Dropdown Options:

- 6,F
- 1,E
- 8,F
- 4,E
- EFB
- 8,D
- 6,D
- EFD
- 9,D

#### Instructions:

1. Match the correct option for each position (i) through (v) based on Step 2 of Dijkstra's algorithm.

2. Make sure to choose the values that complete the path calculation from node E to all other nodes as per the algorithm’s logic.

After completing the table, ensure that the entries logically represent the shortest paths at step 2 in the algorithm execution.
Transcribed Image Text:### Dijkstra's Algorithm (3, part 3) Consider the network shown below and Dijkstra’s link-state algorithm. Here, we are focused on computing the least cost path from node E to all other nodes using Dijkstra’s algorithm. Using the algorithm statement and its visual representation, complete the "Step 2" row in the table below to show the algorithm’s execution by matching the table entries (i), (ii), (iii), (iv), and (v) with their values. Write down your final [correct] answer, as you’ll need it for the next question. #### Diagram Description: The diagram displays a network of six nodes labeled A, B, C, D, E, and F with weighted edges indicating the cost to traverse from one node to another. The node E is marked in red. The weights are as follows: - A to B: 10 - A to C: 3 - A to D: 2 - B to F: 2 - C to B: 4 - C to D: 11 - D to F: 7 #### Table: | Step | N' | D(A),p(A) | D(B),p(B) | D(C),p(C) | D(D),p(D) | D(F),p(F) | |------|----|-----------|-----------|-----------|-----------|-----------| | 0 | E | * | * | * | * | * | | 1 | * | * | * | * | * | 2,E | | 2 | (i)| (ii) | (iii) | (iv) | (v) | * | #### Dropdown Options: - 6,F - 1,E - 8,F - 4,E - EFB - 8,D - 6,D - EFD - 9,D #### Instructions: 1. Match the correct option for each position (i) through (v) based on Step 2 of Dijkstra's algorithm. 2. Make sure to choose the values that complete the path calculation from node E to all other nodes as per the algorithm’s logic. After completing the table, ensure that the entries logically represent the shortest paths at step 2 in the algorithm execution.
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