![6. [20 pts.] Below is the final P matrix after applying Floyds all pairs shortest path algorith on a graph with nodes (A, B,](http://img.homeworklib.com/images/f2fb5fff-2f21-4827-90d2-eaf7078b3cd2.png?x-oss-process=image/resize,w_560)
Homework Answers
he Floyd-Warshall algorithm is a shortest path algorithm for graphs. Like the Bellman-Ford algorithm or the Dijkstra's algorithm, it computes the shortest path in a graph. However, Bellman-Ford and Dijkstra are both single-source, shortest-path algorithms. This means they only compute the shortest path from a single source. Floyd-Warshall, on the other hand, computes the shortest distances between every pair of vertices in the input graph.
a)
Here the shortest distance matrix P has already been calculated,
| A | B | C | D | E | F | G | H | |
| A | 0 | 0 | 5 | 0 | 2 | 0 | 5 | 5 |
| B | 0 | 0 | 5 | 5 | 0 | 1 | 5 | 5 |
| C | 5 | 5 | 0 | 5 | 0 | 5 | 5 | 0 |
| D | 0 | 5 | 5 | 0 | 0 | 7 | 0 | 7 |
| E | 2 | 0 | 0 | 0 | 0 | 2 | 0 | 3 |
| F | 0 | 1 | 5 | 7 | 2 | 0 | 0 | 7 |
| G | 5 | 5 | 5 | 0 | 0 | 0 | 0 | 0 |
| H | 5 | 5 | 0 | 7 | 3 | 7 | 0 | 0 |
We can see from the given matrix that the shortest distance between the nodes D and F is 7 (underlined in the matrix)
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6. [20 pts.] Below is the final P matrix after applying Floyd's all pairs shortest path algorith on a graph with nodes (A, B, C, D, E, F, G, H). In the matrix below 1 corresponds o 0 5 0 2 0...
Q1: Here we consider finding the length of the shortest path between all pairs of nodes...
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File Edit Format View Help Graphs and trees 4. [6 marks] Using the following graph representation (G(V,E,w)): v a,b,c,d,e,f E fa,b), (a,f),fa,d), (b,e), (b,d), (c,f),(c,d),(d,e),d,f)) W(a,b) 4,...
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HERE IS THE SENSITIVITY REPORT!!!!!!!!! PLEASE SHOW ALL WORK A B C D E F G...
HERE IS THE SENSITIVITY REPORT!!!!!!!!!
PLEASE SHOW ALL WORK
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HERE IS THE SENSITIVITY REPORT!!!!!!!!!
PLEASE SHOW ALL WORK
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