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DAT600: Algorithm Theory - Graph Algorithms - Kruskal and Prim Algorithm - Engineering Assessment Answer
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Subject Code: DAT600
Internal Code: 1AFEDD
Problem-2:
Kruskal and Prim
2a. In which situations, you prefer Prim’s algorithm over Kruskal’s and vice versa?
2b. Let us assume that the graph represents the inter-city bus network in the Rogaland district: the vertices represent the cities and the weights of the edges represent the distance between cities. Assuming that vertex “f” represents Stavanger, explain how you can force Kruskal’s algorithm to make most connections through “f”.
2c. Using a Depth-First-Search or otherwise, propose an algorithm for listing all the cycles in a directed graph. Find the running time of the algorithm.
Problem-3:
Dijkstra's algorithm for single-source shortest paths
Problem-4:
Maximum-Flow
4a. Given the flow network G above, find a flow of maximum value from source s to sink t, using the Ford-Fulkerson method.
4b. Suggest any improvement in this approach.
Engineering Assessment Help
Task: Problem 1:
Problem-2:
Kruskal and Prim
2a. In which situations, you prefer Prim’s algorithm over Kruskal’s and vice versa?
2b. Let us assume that the graph represents the inter-city bus network in the Rogaland district: the vertices represent the cities and the weights of the edges represent the distance between cities. Assuming that vertex “f” represents Stavanger, explain how you can force Kruskal’s algorithm to make most connections through “f”.
2c. Using a Depth-First-Search or otherwise, propose an algorithm for listing all the cycles in a directed graph. Find the running time of the algorithm.
Problem-3:
Dijkstra's algorithm for single-source shortest paths
Problem-4:
Maximum-Flow
4a. Given the flow network G above, find a flow of maximum value from source s to sink t, using the Ford-Fulkerson method.
4b. Suggest any improvement in this approach.
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