ANSWER :
The edge selected from the above graph by using kruskal's algorithm is
C) <b, c>
Consider the following graph to compute a minimum spanning tree. Which edge is selected first by...
3. In this problem, you will show the execution of the minimum spanning tree algorithms that you studied in class on the following graph: START 10 40 5 20 35 15 6 30 62 12 (a) (5 points) Trace the execution of Prim's algorithm to find the minimum spanning tree for this graph. At each step, you should show the vertex and the edge added to the tree and the resulting values of D after the relaxation operation. Use START...
2. Use Prim's algorithm to find a minimum spanning tree for the following graph 3. Use Kruskal's algorithm to find a minimum spanning tree for the graph given in question.
Question II - Graph Traversal and Minimum Spanning Trees [40 Points] Consider the following graph: B 10 1 4 1 H 9 4 a) Traverse the graph starting from vertex A, and using the Breadth-First Search algorithm. Show the traversal result and the data structure you are using. [10 Points] b) Traverse the graph starting from vertex A, and using the Depth-First Search (Post-order) algorithm. Show the traversal result and the data structure you are using. [10 Points] c) Apply...
Compare the Dijkstra Shortest Spanning Tree to the Minimum-cost
Broadcast Spanning Tree for the graph in Question 6.
Consider the communication graph below. The edge labels are of the form a / b, where a is the cost in dollars of using that link and b is the delay in seconds of using that link. Run Dijkstra's algorithm on this graph and find the optimal route from A to E 6. 6/2 2/4 2/3 3/4 4/4
1. Use Prim's algorithm to solve the minimum weight spanning tree problem for the following graph.2. Use Kruskal's algorithm to solve the minimum weight spanning tree problem for the following graph.
Please explain thoroughly:
Find the minimum spanning tree of the following graph using either Kruskal's or Prim's algorithm. Show your setup and the first 3 iterations 4. 4 5 4
Question 3 Apply Kruskal's algorithm to find Minimum Spanning Tree for the following graph. (In the final exam, you might be asked about Prim's algorithm or both). Weight of edge(1,2) = 10 Weight of edge(2,4)= 5 Weight of edge(6,4)=10 Weight of edge(1,4) = 20 Weight of edge(2,3) = 3 Weight of edge(6,5)= 3 Weight of edge(1,6) = 2 Weight of edge(3,5) = 15 Weight of edge(4,5)= 11
7. MINIMUM WEIGHT SPANNING TREES (a) Use Kruskal's algorithm to find a minimum weight spanning tree. What is the total cost of this spanning tree?(b) The graph below represents the cost in thousands of dollars to connect nearby towns with high speed, fiber optic cable. Use Kruskal's algorithm to find a minimum weight spanning tree. What is the total cost of this spanning tree?
Generate a minimum spanning tree for the following graph. Label all edge weights in the resulting tree and indicate the total edge weight for the tree. 9 6 G A 4 7 H 6 5 3 21 LC LO
For each graph, let s be the root. 1. Determine the minimum spanning tree of each graph using: a Prim's Algorithm b) Kruskal's Algorithm 2. Determine the shortest path tree of each graph using Dijkstra's Algorithm. 6 ะก (16 5 13 10 8 7 14 13 b 7 6 8 h 12 10 e