Consider the following tree. a 5 d 3 b 10 4 3 9 2 9 h 90 g 3 2 2 3 k 3 (a) Using either Prim's or Kruskal's algorithms, determine the weight of a minimum spanning tree of the tree given below. State which algorithm you used. Draw a sketch of the minimum spanning tree. (b) Find the shortest path of the graph below from A to L. Use Dijsktra's algorithm and show all working.

Q: Consider the connected weighted graph G below. 3 D E 4 A 7 F G H 8 3 (a) Use Dijkstra's Shortest…

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Q: 18 13 15 16 11 2. H K. 14 19 18 17 12 Consider the graph given above. Use Dijkstra's algorithm to…

A: Ans 1; consider the graph; F→I→L→P is the order in which the nodes leading to the minimal path as…

Q: 8 1 H 14 |1 7 D 4 2 G E 13 8 F Using Dijkstra's algorithm, find the total weight of the shortest…

A: Solution:   A  B C D E F G H A ∞ ∞ ∞ ∞ ∞ ∞ 0 ∞ B 12 ∞ ∞ ∞ 21 13 0 4 C 12 35 ∞ 28 21 13 0 4…

Q: C F -15- 6. 12- В E 14 -4- A D Apply the sorted edges algorithm to the graph above. Give your answer…

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Q: 1. For the graph shown, find the adjacency matrix of the graph. 3. D 3.

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Q: The weights of edges in a graph are shown in the table above. Find the minimum cost spanning tree on…

A: Initialize: Create a set for each vertex, where each vertex is a separate set. This indicates that…

Q: A BC A B 45 45 40 6 5 44 -- CD ∞ 40 6 44 .. 5 33 12 E389 26 с D 26 E 33 89 39 F 12 13 18 43 11 E -…

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Q: d) Find a minimal spanning tree in the following weighted graph using the Prim's algorithm. V7 V6 V4…

A: As per the Prim's algorithm first in the given graph G, we need to remove the loops and parallel…

Q: For items 53-55. Refer to the graph below: B E F H 53. Using Kruskal's Algorithm, the last edge to…

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Q: 9. Using Dijkstra's algorithm to find the shortest path between the vertices A to H in the weighted…

A: The given question is solved below.

Q: Using the Breadth-First spanning tree search algorithm, what is the spanning tree if you start with…

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Q: Use Kruskal's Algorithm to find the minimum spanning tree for the weighted graph. Give the total…

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Q: 49 A B C D E F A -- B 9 с DE F 38 16 19 37 22 13 44 15 5 24 28 33 7 43 -- 9 38 22 16 13 5 19 44 24…

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Q: 3. Use the graph below to answer the following questions. A 45 20 60 10 H K 15 5 15 60 30 G 10 20 25…

A: Dear Bartleby student,you posted a long question so according to our guidelines we can answer one…

Q: Find the minimum spanning tree for the of the graph. 35 55 B 18 35 70 40. H D 3 40 G 21 20 E 50

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Q: A B с D E F A - BCD 32 26 33 10 31 23 32 26 10 33 31 5 11 19 8 28 - - 23 43 42 - E F 5 19 11 8 43 28…

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Q: U 13 D 8 in B 12 E 10 11 A Find the minimum cost spanning tree on the graph above using Kruskal's…

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Q: 3 B A 2 4 E 2 2 H G F 8 5

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Q: Apply Dijkstra's algorithm for the following graph. Show the values for p and IN and the d values…

A: Finally we visit all the nodes. Column 1 contains the nodes in order in which we want to traverse.…

Q: Using the Breadth-First spanning tree search algorithm, what is the spanning tree if you start with…

A: Spanning tree is a tree that connects all the vertices of a graph with a minimum possible number of…

Q: B A 10 F Apply the repeated nearest neighbor algorithm to the graph above. Give your answer as a…

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Q: 3. For the graph shown above, use Prim's algorithm using vertex B as a starting point.

A: Given: A graph To find: 3) Minimum spanning tree starting from vertex B using Prim's algorithm.

Q: 5 4 2 3 6. 3 5 7 e d f 6. 3 4 8 4 4 h 2

A: To apply the Prim's algorithm, consider a least weight edge and then add the new vertices which are…

Q: Consider the following graph G. The numbers next to each edge denote the cost of the edge. 6 10 11 8…

A: Solution by Kruskal's algorithm :

Q: 4. Use the tree rooted at A to answer the following questions. K E L B F M O H N O Q R (a) List the…

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Q: 32 U2 V1 45 17 1 28 18 10 U6 UA U5 V3 3 5 V10 V7 4 12 59 6. 25

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Q: ) Using either Prim's or Kruskal's algorithms, determine the cost of the minimum spannin tree which…

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Q: . Use the Pruning Map Bijection outlined in Lecture 23 to do the following. (a) Find the word…

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Q: F 14 8. 13 В E .3 15 A D Find the minimum cost spanning tree on the graph above using Kruskal's…

A: For a connected graph G, its spanning tree is a tree which has no circuits and contains all the…