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Use Dijkstra's algorithm to determine the shortest path from vertex a to every other vertex in...
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?
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...
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...
Apply Dijkstra's algorithm to find a shortest path from node 1 to every other node. To summarize your steps inside Dijkstra's algorithm, make sure you clearly indicate the order in which nodes become permanent.
Run Dijkstra's algorithm on the graph G below, where s is the source vertex. Draw a table that shows the vertices in Q at each iteration. Write thed and I values of each vertex. Color the edges in the shortest-path tree, similar to the example from the notes. List the order in which vertices are added to S. Use the algorithm learned in class.
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...
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...
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. 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?
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,...