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11 D 10 A 15 B Apply the sorted edges algorithm to the graph above. Give your answer as a list of vertices, starting and ending at vertex A. Example: ABCDA

11 D 10 A 15 B Apply the sorted edges algorithm to the graph above. Give your answer as a list of vertices, starting and ending at vertex A. Example: ABCDA

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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### Problem Description **Graph and Algorithm Application** Consider the graph displayed above. The graph consists of four vertices labeled as A, B, C, and D, and six edges connecting these vertices. #### Edge Details: - Edge connecting vertex C to vertex A with a weight of 4. - Edge connecting vertex C to vertex B with a weight of 3. - Edge connecting vertex A to vertex B with a weight of 15. - Edge connecting vertex D to vertex A with a weight of 10. - Edge connecting vertex D to vertex B with a weight of 5. - Edge connecting vertex D to vertex C with a weight of 11. #### Task: Apply the sorted edges algorithm to the graph above. Provide your answer as a list of vertices, starting and ending at vertex A. **Example:** If the resulting path is ABCDA, simply write: ABCDA. --- **Instructions:** To apply the sorted edges algorithm, follow these steps: 1. **List All Edges and Their Weights:** - CA: 4 - CB: 3 - AB: 15 - DA: 10 - DB: 5 - DC: 11 2. **Sort the Edges by Increasing Order of Weights:** - CB: 3 - CA: 4 - DB: 5 - DA: 10 - DC: 11 - AB: 15 3. **Construct the Path:** - Start from vertex A. - Choose edges in the sorted order to form the path. Provide the final sequence of vertices based on the sorted edges algorithm. **Note:** For educational purposes, ensure you explain each step clearly and verify if the resulting path forms a simple cycle that visits every vertex exactly once before returning to the starting vertex A.
Transcribed Image Text:### Problem Description **Graph and Algorithm Application** Consider the graph displayed above. The graph consists of four vertices labeled as A, B, C, and D, and six edges connecting these vertices. #### Edge Details: - Edge connecting vertex C to vertex A with a weight of 4. - Edge connecting vertex C to vertex B with a weight of 3. - Edge connecting vertex A to vertex B with a weight of 15. - Edge connecting vertex D to vertex A with a weight of 10. - Edge connecting vertex D to vertex B with a weight of 5. - Edge connecting vertex D to vertex C with a weight of 11. #### Task: Apply the sorted edges algorithm to the graph above. Provide your answer as a list of vertices, starting and ending at vertex A. **Example:** If the resulting path is ABCDA, simply write: ABCDA. --- **Instructions:** To apply the sorted edges algorithm, follow these steps: 1. **List All Edges and Their Weights:** - CA: 4 - CB: 3 - AB: 15 - DA: 10 - DB: 5 - DC: 11 2. **Sort the Edges by Increasing Order of Weights:** - CB: 3 - CA: 4 - DB: 5 - DA: 10 - DC: 11 - AB: 15 3. **Construct the Path:** - Start from vertex A. - Choose edges in the sorted order to form the path. Provide the final sequence of vertices based on the sorted edges algorithm. **Note:** For educational purposes, ensure you explain each step clearly and verify if the resulting path forms a simple cycle that visits every vertex exactly once before returning to the starting vertex A.
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