You're running Dijkstra's algorithm to find all shortest paths starting with vertex A in the graph...
You're running Dijkstra's algorithm to find all shortest paths
starting with vertex A in the graph below, but you pause after
vertex E has been added to the solution (and the relaxation step
for vertex E has been performed). Annotate the graph as follows:
(1) label each node with its current dist value, (2)
darken the edges that are part of the current spanning tree (i.e.,
the parent links), (3) draw a dotted circle around the
"cloud'' of vertices that are in the current solution, and (4)
color in the vertices that are part of the
fringe.
Homework Answers
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You're running Dijkstra's algorithm to find all shortest paths
starting with vertex A in the graph...
Algorithm Question 5. Below is a graph with edge lengths. Apply Dijkstra's algorithm to find the shortest paths, starting at vertex A, to all other vertices. Write down the sequence in which the...
Algorithm Question
5. Below is a graph with edge lengths. Apply Dijkstra's algorithm to find the shortest paths, starting at vertex A, to all other vertices. Write down the sequence in which the edges are chosen, breaking ties by using vertices at the same length in alphabetic orde. 3 Ga 2
5. Below is a graph with edge lengths. Apply Dijkstra's algorithm to find the shortest paths, starting at vertex A, to all other vertices. Write down the sequence in...
Consider the problem of finding the shortest paths in a weighted directed graph using Dijkstra's algorithm.
Consider the problem of finding the shortest paths in a weighted directed graph using Dijkstra's algorithm. Denote the set of vertices as V, the number of vertices as |V|, the set of edges as E, and the number of edges as |E|. Answer the following questions.Below is a pseudo-code of the algorithm that computes the length c[v] of the shortest path from the start node s to each node v. Answer code to fill in the blank _______ .
Using the following graph and Dijkstra's algorithm, calculate the shortest distance to each other vertex starting...
Using the following graph and Dijkstra's algorithm, calculate the shortest distance to each other vertex starting from vertex A. Label all vertices with the total distance (from A). Indicate the order nodes are added to cloud. Draw a Minimum Spanning Tree for the graph. You should label all nodes in the tree, but you do not need to indicate edge weights or total distance. 2 D C L 7 6 2 7 2 A K B 4 7 4 1...
Question 5 (5 points) Apply Dijkstra's Algorithm to the following graph, computing the shortest path for...
Question 5 (5 points) Apply Dijkstra's Algorithm to the following graph, computing the shortest path for al vertices from vertex A. Present the results after each vertex has been processed 3 20 B 47 20 You may wish to present the results in the format of the following table: Stage Current Vertex Labels and Distances A 0 A 0 D 231 A 213 E 4 F21 A 90 Each row states (a) the current stage, (b) the vertex just added...
2. (a) (2 points - Completeness) Dijkstra's Walk-through Dijkstra's algorithm to compute the shortest paths from...
2. (a) (2 points - Completeness) Dijkstra's Walk-through Dijkstra's algorithm to compute the shortest paths from A to every other node in the given graph Show your steps in the table below. Do this by crossing out old values and writing in new ones as the algorithm proceeds 25 9 7 (D-G) 19 14 (B-E) 4 (A-C) 2 2 (G-H) Vertex Visited Cost Previous (b) (6 points-Correctness) All Vertices, in Order Visited: Visited-= Found the Shortest Path to) (c) (2...
Question 6 Let G be the weighted graph (a) Use Dijkstra's algorithm to find the shortest path from A to F. You can...
Question 6 Let G be the weighted graph (a) Use Dijkstra's algorithm to find the shortest path from A to F. You can do all the work on a single diagram, but, to show that you have used the algorithm correctly, if an annotation needs updating do not erase itjust put a line through it and write the new annotation above that b) In what order are the vertices added to the tree? (c) Notice that the algorithm does not,...
Java 4) Shortest Paths a) Dijkstra's Algorithm Run Dijkstra's algorithm on the following graph. Show the interm...
Java
4) Shortest Paths a) Dijkstra's Algorithm Run Dijkstra's algorithm on the following graph. Show the intermediate cost values after each iteration of the algorithm, and show the final shortest path tree and cost
4) Shortest Paths a) Dijkstra's Algorithm Run Dijkstra's algorithm on the following graph. Show the intermediate cost values after each iteration of the algorithm, and show the final shortest path tree and cost
Consider the graph below. Use Dijkstra's algorithm to find the shortest path from vertex A to vertex F.
Consider the graph below. Use Dijkstra's algorithm to find the shortest path from vertex A to vertex F. Write your answer as a sequence of nodes separated by commas (no blank spaces) starting with the source node: _______ What's the weight of the shortest path? _______
Consider the graph below. Use Dijkstra's algorithm to find the shortest path from vertex A to vertex C
Consider the graph below. Use Dijkstra's algorithm to find the shortest path from vertex A to vertex C. Write your answer as a sequence of nodes with no blank spaces or any separators in between, starting with the source node: What's the weight of the shortest path?
Use Dijkstra's algorithm to determine the shortest path from vertex a to every other vertex in...
Use Dijkstra's algorithm to determine the shortest path from vertex a to every other vertex in the following graph. Draw your steps on your own draft paper using notation as described in class (you do not need to submit this), then clearly identify and list the following in the text field below: (1) Which edges are included in the SSP; in the format of (vertex1, vertex 2, weight), for example (a, b, 7),(a, c, 9), ... (2) The order and...
Algorithm Question
5. Below is a graph with edge lengths. Apply Dijkstra's algorithm to find the shortest paths, starting at vertex A, to all other vertices. Write down the sequence in which the edges are chosen, breaking ties by using vertices at the same length in alphabetic orde. 3 Ga 2
5. Below is a graph with edge lengths. Apply Dijkstra's algorithm to find the shortest paths, starting at vertex A, to all other vertices. Write down the sequence in...
Using the following graph and Dijkstra's algorithm, calculate the shortest distance to each other vertex starting from vertex A. Label all vertices with the total distance (from A). Indicate the order nodes are added to cloud. Draw a Minimum Spanning Tree for the graph. You should label all nodes in the tree, but you do not need to indicate edge weights or total distance. 2 D C L 7 6 2 7 2 A K B 4 7 4 1...
Question 5 (5 points) Apply Dijkstra's Algorithm to the following graph, computing the shortest path for al vertices from vertex A. Present the results after each vertex has been processed 3 20 B 47 20 You may wish to present the results in the format of the following table: Stage Current Vertex Labels and Distances A 0 A 0 D 231 A 213 E 4 F21 A 90 Each row states (a) the current stage, (b) the vertex just added...
2. (a) (2 points - Completeness) Dijkstra's Walk-through Dijkstra's algorithm to compute the shortest paths from A to every other node in the given graph Show your steps in the table below. Do this by crossing out old values and writing in new ones as the algorithm proceeds 25 9 7 (D-G) 19 14 (B-E) 4 (A-C) 2 2 (G-H) Vertex Visited Cost Previous (b) (6 points-Correctness) All Vertices, in Order Visited: Visited-= Found the Shortest Path to) (c) (2...
Question 6 Let G be the weighted graph (a) Use Dijkstra's algorithm to find the shortest path from A to F. You can do all the work on a single diagram, but, to show that you have used the algorithm correctly, if an annotation needs updating do not erase itjust put a line through it and write the new annotation above that b) In what order are the vertices added to the tree? (c) Notice that the algorithm does not,...
Java
4) Shortest Paths a) Dijkstra's Algorithm Run Dijkstra's algorithm on the following graph. Show the intermediate cost values after each iteration of the algorithm, and show the final shortest path tree and cost
4) Shortest Paths a) Dijkstra's Algorithm Run Dijkstra's algorithm on the following graph. Show the intermediate cost values after each iteration of the algorithm, and show the final shortest path tree and cost
Use Dijkstra's algorithm to determine the shortest path from vertex a to every other vertex in the following graph. Draw your steps on your own draft paper using notation as described in class (you do not need to submit this), then clearly identify and list the following in the text field below: (1) Which edges are included in the SSP; in the format of (vertex1, vertex 2, weight), for example (a, b, 7),(a, c, 9), ... (2) The order and...
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