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Please explain thoroughly: Find the minimum spanning tree of the following graph using either Kruskal's or...
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 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
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.
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...
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?
Use Kruskal's algorithm (Algorithm 4.2) to find a minimum spanning tree for the graph in Exercise 2. Show the actions step by step.
The weights of edges in a graph are shown in the table above. Find the minimum cost spanning tree on the graph above using Kruskal's algorithm. What is the total cost of the tree?
7. Illustrate Kruskal's algorithm by giving detailed steps to find the minimum spanning tree for the following graph. You must explain the steps. 10 T,
Do prim's and kruskal's algorithms always generate a unique minimum spanning tree? Please discuss in terms of both the structure of the graph and its cost. 0 4 4 6
8) a. By using Kruskal's algorithm find the shortest spanning tree for the following graph: b. Determine if relation is a tree by drawing the graph and if it is, find the root. R1 = {(1,2), (1,3), (3, 4), (5,3), (4,5)} R2 = {(1,8), (5, 1), (7,3), (7,2), (7,4),(4,6),(4,5) 9) a. Let A = {e, f, h}, then write all the permutations of A. b. Find the algebraic expression of the following given in postfix notation: 2 x * 4-2/8 4-2^4/+