Kruskal's algorithm stops when the minimum spanning tree has 9 edges. How many nodes were there in the original graph? O 1 O 7 O 10 The cost of the edges are first sorted to find the Minimum Spanning Tree in

Q: In the following graph which edges form the Minimum Spanning Tree? (Use Prim's Algorithm,start from…

A: Note: Step by step explanation given below. Prim's algorithm steps: Initialize the minimum spanning…

Q: Using Kruskal's Algorithm, 1. find the Minimum Spanning Tree for the following graph. 2. in your…

A: Given the graph apply kruskal Algorithm to find the minimum spanning tree.

Q: Consider the graph given above. Use Kruskal's algorithm to find the minimum spanning tree. а. a.…

A: The Kruskal's algorithm is used to find the minimal spanning tree in such a way that it lists all…

Q: Using Kruskal's Algorithm, 1 find the Minimum Spanning Tree for the following graph. 2 in your…

A: kruskals algorithm   is a greedy algorithm. Used to find minimum spanning tree. minimum spanning…

Q: Use Kruskal's algorithm to find a minimum spanning tree of the weighted graph shown. What is the…

A: Answer is given below .

Q: Consider the graph below. Use Dijkstra's algorithm to find the shortest path from vertex 0 to vertex…

A:

Q: Consider the graph below. Use Dijkstra's algorithm to find the shortest path from vertex A to…

A: The starting node to calculate shortest path is source node. The source node is A.

Q: Use Prim's algorithm to find the minimum weighted spanning tree for the graph K1? 28 16 10 14 g 24…

A: ANSWER: Prim's Algorithm:

Q: Consider the graph below. Use Prim's algorithm to find a minimal spanning tree of the graph rooted…

A:

Q: Use the following graph with given weights on the edges to find the total weight of a minimum…

A:

Q: Kruskal's minimum spanning tree algorithm is executed on the following graph. Select all edges from…

A: 15.12.1

Q: Use depth-first search starting at vertex SS  to construct a spanning tree of the graph below. If we…

A: Here in this question we have given a graph and we have asked to find the order of selecting edge…

Q: Use Kruskal's algorithm to construct a minimum spanning forest for the following graph. Yes, you may…

A: First note down all the edges in the ascending order of their weights which is used to construct a…

Q: Use Prim's algorithm to compute the minimum spanning tree for the weighted graph. Start the…

A: Given graph:

Q: Use Kruskal's algorithm to construct a minimum spanning forest for the following graph. Yes, you may…

A: First let’s see What is Minimum Spanning Tree? A minimum spanning tree is a spanning tree for a…

Q: Describe your steps in finding a minimum spanning tree of the following weighted graph by (i) (ii)…

A:

Q: Question 17 Consider the graph below. Use Dijkstra's algorithm to find the shortest path from vertex…

A: Dijkstra's algorithm is an algorithm for finding the shortest paths between nodes in a graph, which…

Q: The problem is about Algorithms, please give the solutions step by step. Now, use (a) Kruskal's…

A: spanning tree using kruskal's algorithm :-- Kruskal’s algorithm for spanning tree :- First sort the…

Q: a. Write the Kruskal's Algorithm to find minimum spanning tree! b. Use Kruskal's algorithm to find a…

A: MST- KRUSKAL (G, w) 1. A ← ∅ 2. for each vertex v ∈ V [G] 3. do MAKE - SET (v) 4. sort the edges of…

Q: The cost of the minimum spanning tree using the Prim's algorithm, starting from vertexa from the…

A: Given: To find minimum cost spanning tree(using Prim's Algorithm):

Q: Kruskal's algorithm can return different spanning trees for the same input G.   Use task part 1 to…

A: What is a Spanning Tree? Given an undirected and connected graph G=(V,E), a spanning tree of the…

Q: An undirected weighted graph G is given below: 11 3 1 -4.1 2 .2 3. b. a (a) Use Prim's algorithm to…

A: solution of the given question is:-

Q: 5 b h 2 6 f d 8 3 a 2 3 i If Dijkstra's Algorithm is applied to the following graph to find the…

A:

Q: Given the following graph. Find the sum of the weights of the edges in a minimum * spanning tree 11…

A: Let us use krushkal algorithm to find minimum spanning tree.  Create a list of edges in increasing…

Q: (a) Find a minimal spanning tree for the following graph using Kruskal's algorithm, then calculate…

A: Here in this question we have given a graph.and we have asked to apply kruskal algorithm on it..and…

Q: Apply an algorithm to find the minimum spanning tree. To solve this problem, you need to transfer…

A: Below is the algorithm to find minimum spanning tree:

Q: Please see theattached document, Please write clearly if its handwriting.  Thanks

A: 5. Solved using Dijkstra's Algorithm Shortest path: a, b, e, f, h, i, d, g, c Dijkstra Algorithm…

Q: Consider eight points on the Cartesian two-dimensional x-y plane. a d g For each pair of vertices u…

A: By using Euclidean distance weights to be calculated. Given, dist(a,h) = 4 dist(a,b) = 2   Similarly…

Q: A B. C D F A 2. 25 33 2. 24 41 42 38 25 24 23 15 D 41 23 30 32 E 3. 42 30 19 F 33 38 15 32 19 The…

A: Given that the weights of edges in a graph are shown in the table above. Find the minimum cost…

Q: If I pick a vertex on the graph, at random, and run Prim's algorithm, what is the expected total…

A:

Q: Use Prim's algorithm starting with a vertex a to find spanning tree for the following graph.…

A: Answer: Total cost = 8

Q: Given the following graph. Find the sum of the weights of the edges in a minimum spanning tree E 11…

A: Let us use Krushkal algorithm . Create a list of edges in increasing order of their weight. Edge…

Q: After applying Kruskal's Algorithm to the above graph the insertion order of the edges as follows:…

A: We are given a problem on Minimum spanning tree, which we are going to solve using Kruskal's…

Q: Diagrammatically step by step apply Prim's algorithm to find a minimum spanning tree for the given…

A:

Q: 1. Use Prim's algorithm to compute a minimum spanning tree for the following weighted graph. 2 5 7 2…

A: ef 1 ab 2 be 2 jk 2 de 3 eh 3 hi 4 kl 5 bc 5 cf 6 fi 7 ad 7 hg 8 gj 8 hk…

Q: Use Prim's Algorithm or Kruskal's algorithm to construct a minimum cost spanning tree (MST) from the…

A: minimum spanning tree is  given by :-   cost of minimum spanning tree is :- 5+8+4+3+7+13+34 =74

Q: What is the number of distinct minimum spanning trees for the graph below? 1 2 2 3 7 1 Lütfen birini…

A:

Q: The number of distinct minimum spanning trees for the weighted graph below is 2,

A: total number of spanning tree : - 3 x 2 = 6

Q: Which of the following is false? a) The spanning trees do not have any cycles b) MST have n – 1…

A: Question. Which of the following is false? a) The spanning trees do not have any cycles b) MST have…

Q: Let G = (V, E) be an undirected and connected graph, where each edge (u, v) E E has a weight wt(u,…

A: The solution for the above given question is given below:

Q: a. Use Prim's algorithm starting at node A to compute the Minimum Spanning Tree (MST) of the…

A: Given the Graph , we have write the edges of MST using Prims and Kruskal algorithm.

Q: 15 14 11 16 18 13 9 12 3. I Consider the graph given above. Use Prim's algorithm to find the minimum…

A:

Q: 8. You are going to simulate Kruskaľ's algorithm in this question. A 15 3. B 2/ 13 D 5 E 10 14 16 F…

A: Given: We are given an undirected graph with 10 nodes and edges connecting them that have some…

Q: 2. S=0 3. Q=V[G] 4. While Q != 0 Do u=extract-min(Q) 5. S=s union {u} 6. 7. For each vertex v in…

A: This is dikstra algorithm . When while Q!=0 is used then it will be executed for v times. But When…

Q: EXAMPLE: Suppose we want to use the A* algorithm on the graph below to find the shortest path from…

A:

Q: A graph may have many spanning trees. Only and graph can produce a spanning tree. Select one: O…

A: Note:the solution to the above problem is given below Hope it helps you understand

Q: Draw a DFS tree from the following graph starting from vertex E. A D B E

A: We are given a graph and we are going to draw dfs tree from it and we will start with vertex E.…

Q: Consider the following graph: 2. 14 6. Which of the following cannot be the sequence of edges added,…

A: In krushkal algorithm,we arrange edges in increasing order of their weight. Then include edges from…

Q: 8 16 11 13 20 (10 (12 12 13 19 5 8. 10 4 15 14 18 (3 21 17 start node = 4 (use this start node for…

A: In Q.1 we have to make the adjacency matrix or adjacency list for the given weighted graph. Here, i…

Q: Let G be a graph with 7 vertices, where each vertex is labelled by a number from 1 to 7. Two…

A: Topological sort: Topological sorting for Directed Acyclic Graph (DAG) is a linear ordering of…