Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Can someone please explain it to me ASAP?!!! This is dijkstra’s shortest path
### Dijkstra's Shortest Path Algorithm #### Objective: Understand and apply Dijkstra's shortest path algorithm on a graph, starting at vertex C. #### Graph Description: The given graph consists of five vertices (A, B, C, D, E) connected by directed edges with associated weights, illustrating the following connections: - Vertex B to Vertex E with weight 2. - Vertex C to Vertex E with weight 5. - Vertex E to Vertex A with weight 8. - Vertex A to Vertex B with weight 5. - Vertex A to Vertex D with weight 6. - Vertex D to Vertex C with weight 3. - Vertex D to Vertex E with weight 5. - Vertex B to Vertex A with weight 9. - Vertex B to Vertex D with weight 3. #### Task: Upon running Dijkstra's algorithm starting at vertex C, determine the predecessor of each vertex upon completion. #### Implementation: 1. Initialize the distance to the starting vertex (C) as 0 and all other distances as infinity. 2. Mark all vertices as unvisited. Set the initial vertex as the current vertex. 3. For the current vertex, consider all its unvisited neighbors and calculate their tentative distances. 4. Update the shortest distance if the calculated tentative distance is less than the known distance. 5. After considering all neighbors of the current vertex, mark the current vertex as visited. 6. Repeat the process for the vertex with the smallest tentative distance among the unvisited vertices. 7. Continue until all vertices have been visited. #### Question: What is each vertex's predecessor upon the completion of Dijkstra's algorithm? Choices: A: - Pick - B - C - D - E B: - Pick - A - B - C - D C: - Pick - A - B - C - D D: - Pick - A - B - C - E E: - Pick - A - B - C - D Select the predecessor for each vertex to complete the query.
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Transcribed Image Text:### Dijkstra's Shortest Path Algorithm #### Objective: Understand and apply Dijkstra's shortest path algorithm on a graph, starting at vertex C. #### Graph Description: The given graph consists of five vertices (A, B, C, D, E) connected by directed edges with associated weights, illustrating the following connections: - Vertex B to Vertex E with weight 2. - Vertex C to Vertex E with weight 5. - Vertex E to Vertex A with weight 8. - Vertex A to Vertex B with weight 5. - Vertex A to Vertex D with weight 6. - Vertex D to Vertex C with weight 3. - Vertex D to Vertex E with weight 5. - Vertex B to Vertex A with weight 9. - Vertex B to Vertex D with weight 3. #### Task: Upon running Dijkstra's algorithm starting at vertex C, determine the predecessor of each vertex upon completion. #### Implementation: 1. Initialize the distance to the starting vertex (C) as 0 and all other distances as infinity. 2. Mark all vertices as unvisited. Set the initial vertex as the current vertex. 3. For the current vertex, consider all its unvisited neighbors and calculate their tentative distances. 4. Update the shortest distance if the calculated tentative distance is less than the known distance. 5. After considering all neighbors of the current vertex, mark the current vertex as visited. 6. Repeat the process for the vertex with the smallest tentative distance among the unvisited vertices. 7. Continue until all vertices have been visited. #### Question: What is each vertex's predecessor upon the completion of Dijkstra's algorithm? Choices: A: - Pick - B - C - D - E B: - Pick - A - B - C - D C: - Pick - A - B - C - D D: - Pick - A - B - C - E E: - Pick - A - B - C - D Select the predecessor for each vertex to complete the query.
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