Dijkstra's Algorithm: Find the least
accumulated weight so far and choose the least weight each time,
till all the vertices are covered.
Using the following graph and Dijkstra's algorithm, calculate the shortest distance to each other vertex starting...
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...
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,...
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 weighted graph below: Demonstrate Prim's algorithm starting from vertex A. Write the edges in the order they were added to the minimum spanning tree. Demonstrate Dijkstra's algorithm on the graph, using vertex A as the source. Write the vertices in the order which they are marked and compute all distances at each step.
Implement Dijkstra's algorithm to find the shortest path from vertex O to all other vertices in the graph below. Use the adjacency list representation to store and use the graph in memory. Do not use any other representation Use vertex 'A' as your source vertex (begin the algorithm from A). Your output should be of the following format with the second column filled out. The distance from the source vertex (second column) is the sum of weights on the shortest...
Apply Dijkstra's algorithm to find the shortest distance from vertex 0 to every other vertex in the graph shown in Figure 1 below. You must show supporting. You need to list the paths and the minimum distances.
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...
Dijkstra's single source shortest path algorithm when run from vertex a in the below graph, in what order do the nodes get included into the set of vertices for which the shortest path distances are finalized?
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...
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? _______