Show the step-by-step result of applying the Prim’s algorithm on the following graph.
Homework Answers
For Prims algorithm first we need to create the minimum spanning tree(mst) set initially it will be empty and keys assigned to vertices are {0, Inf, inf, inf, inf, inf, inf, inf} where inf indicates infinite. Now pick the vertex with minimum key value. The vertex 1 is picked, include it in mst Set, So mst Set becomes {1}. After including to mst Set, update key values of adjacent vertices. Adjacent vertices of 1 are 2 , 4 and 8. The key values of 2, 4 and 8 are updated as 12, 16 and 13. Following attached subgraph shows vertices and their key values, only the vertices with finite key values I am showing.
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Show the step-by-step result of applying the Prim’s
algorithm on the following graph.
15 8 13...
The following graph has been analyzed by a depth-first search. Draw the resulting depth-first forest. 27. Identify the algorithm that gives the following Information about the structure of a...
The
following graph has been analyzed by a depth-first search. Draw the
resulting depth-first forest.
27. Identify the algorithm that gives the following Information about the structure of a graph Information about the length of paths between ve 28. The following graph has been analyzed by a d Draw the resulting depth-first forest. 3/6 2/9 1/10 B. 1213 7/8 What is the meaning of the notation ".11/16" on node t timestamp earch 28. The following graph has been analyzed by...
Problem definition: Give the program that implement Prim’s algorithm. Input: First line is N, denotes the...
Problem definition: Give the program that implement Prim’s algorithm. Input: First line is N, denotes the amount of test case, then there are Ns graph data with an option number (determine whether output the selected edges or not). Each graph is undirected and connected, it is composed of V (the number of vertices, <= 1000), E (the number of edges, <=10000), then followed by Es edges which are denoted by pair of vertex and weight (e.g., 2 4 10 means...
For the following questions, use the graph (starting node: S) below: 14. Show DFS traversal. 15....
For the following questions, use the graph (starting node: S) below: 14. Show DFS traversal. 15. Show BFS traversal. 16. Show the result of a topological sorting of the graph 17. Dijikstra's single source shortest paths for all nodes 18. Show a tabular form soultion of following 0/1 knapsack problem. Value {5,7, 3, 10, 12, 4, 10} Weight {2,3,1,5, 6, 2,4} Total Weight: 12 19. Show a solution to Fractional knapsack problem with the same weight, value, and total weight...
Given the array A = (5, 7, 14, 8, 11, 15, 9, 13, 12, 10), show...
Given the array A = (5, 7, 14, 8, 11, 15, 9, 13, 12, 10), show how the Insertion sort and Quicksort algorithms work. Step through each algorithm, illustrating how it modifies the input array A. State the worst- and best-case computational complexity of the two algorithms in terms of the size |A| of the input array, and explain why.
Question 2 of 8, Step 1 of 1 Correct The following data represent the number of...
Question 2 of 8, Step 1 of 1 Correct The following data represent the number of oranges in hundreds, which were sold by various grocery stores in the month of December. Construct a dot plot for the given data. 7 13 11 4 3 12 15 11 7 4 2 2 12 16 10 16 Copy Data Answer Tables Keypad Select any value to see the controls for increasing or decreasing the frequency. Use the up and down arrows or...
2. Calculate the time complexity of applying Kruskal's algorithm in the given graph. Do you observe...
2. Calculate the time complexity of applying Kruskal's algorithm in the given graph. Do you observe something specific in this graph? According to your observation generalize the time complexity considering there are V vertices in the graph. [3] (CO2] 5 6 6 8 9 9 5 7 8 8
Credits 13 12 6 9 15 9 15 15 13 16 15 10 12 ...
Credits 13 12 6 9 15 9 15 15 13 16 15 10 12 16 15 10 13 15 6 13 7 9 12 13 16 8 4 10 13 15 12 13 3 10 13 16 12 10 14 13 Use the student dataset for this question. students are considered “full-time” students if they are enrolled in 12 or more credits in a given semester. What percent of respondents in the student dataset are “full-time” students? Consider your result...
Please answer all three parts. And show step-by-step answers for each part. Draw anything if necessary....
Please answer all three parts. And show step-by-step
answers for each part. Draw anything if necessary. And
please don't copy other answers to be at risk being downvoted.
Thank you.
Question 1 (50 POINTS): Given a graph G and the Breadth First Search (BFS) and Depth First Search (DFS) traversal algorithms as follows: BFSG) 1 for each vertex u € G.V – {3} 1 2 u.color = WHITE 3 u.d = 0 4 un = NIL 3 5 S.color =...
Complete the table and graph the cumulative relative frequency of heads MR. Harrison tossed a coin 25 times resulting i...
Complete the table and graph the cumulative relative frequency
of heads
MR. Harrison tossed a coin 25 times resulting in 10 tails. Complete the result in the following table and graph the commulative relatiove frequency of he Commulative relative frequency of H Commulative frequency Toss Number outcome(H or T) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
MR. Harrison tossed a coin 25 times resulting in 10 tails....
The
following graph has been analyzed by a depth-first search. Draw the
resulting depth-first forest.
27. Identify the algorithm that gives the following Information about the structure of a graph Information about the length of paths between ve 28. The following graph has been analyzed by a d Draw the resulting depth-first forest. 3/6 2/9 1/10 B. 1213 7/8 What is the meaning of the notation ".11/16" on node t timestamp earch 28. The following graph has been analyzed by...
For the following questions, use the graph (starting node: S) below: 14. Show DFS traversal. 15. Show BFS traversal. 16. Show the result of a topological sorting of the graph 17. Dijikstra's single source shortest paths for all nodes 18. Show a tabular form soultion of following 0/1 knapsack problem. Value {5,7, 3, 10, 12, 4, 10} Weight {2,3,1,5, 6, 2,4} Total Weight: 12 19. Show a solution to Fractional knapsack problem with the same weight, value, and total weight...
Given the array A = (5, 7, 14, 8, 11, 15, 9, 13, 12, 10), show how the Insertion sort and Quicksort algorithms work. Step through each algorithm, illustrating how it modifies the input array A. State the worst- and best-case computational complexity of the two algorithms in terms of the size |A| of the input array, and explain why.
Question 2 of 8, Step 1 of 1 Correct The following data represent the number of oranges in hundreds, which were sold by various grocery stores in the month of December. Construct a dot plot for the given data. 7 13 11 4 3 12 15 11 7 4 2 2 12 16 10 16 Copy Data Answer Tables Keypad Select any value to see the controls for increasing or decreasing the frequency. Use the up and down arrows or...
2. Calculate the time complexity of applying Kruskal's algorithm in the given graph. Do you observe something specific in this graph? According to your observation generalize the time complexity considering there are V vertices in the graph. [3] (CO2] 5 6 6 8 9 9 5 7 8 8
Please answer all three parts. And show step-by-step
answers for each part. Draw anything if necessary. And
please don't copy other answers to be at risk being downvoted.
Thank you.
Question 1 (50 POINTS): Given a graph G and the Breadth First Search (BFS) and Depth First Search (DFS) traversal algorithms as follows: BFSG) 1 for each vertex u € G.V – {3} 1 2 u.color = WHITE 3 u.d = 0 4 un = NIL 3 5 S.color =...
Complete the table and graph the cumulative relative frequency
of heads
MR. Harrison tossed a coin 25 times resulting in 10 tails. Complete the result in the following table and graph the commulative relatiove frequency of he Commulative relative frequency of H Commulative frequency Toss Number outcome(H or T) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
MR. Harrison tossed a coin 25 times resulting in 10 tails....
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