1.Apply Prim’s algorithm to the graph to obtain minimum spanning tree and show the ordering of the edges added to obtain the minimum spanning tree. 2.Apply Kruskal Algorithm to the graph and show the ordering of edges added to obtain the minimum spanning tree.

Q: Given the graph find Minimum Spanning Tree using Kruskal algorithm. Find the shortest path using…

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Q: Q2. Find the minimum spanning tree of the graph below by choosing node C as a source using Prim's…

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Q: Find a Spanning tree from the given using Breadth First Search. Provide the out degree of the given…

A: Step 1-> Initialize all nodes to the ready state step 2->put the staring node in queue  and…

Q: 2 3 3 4 1 2 5 3 4 a. Draw diagrams showing each step of the Dijkstra-Prim minimum spanning tree…

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Q: For each of the graphs: graph A, and graph B, answer the following questions: (a) List the vertices…

A: pre-order depth-first traversal    B-A-I-H-J Post-order depth-first traversal    J-H-I-A-B…

Q: • Construct a minimum spanning tree of the graph given in the following figure by using the prim's…

A: The above question is solved in step 2 :-

Q: Construct a minimum spanning tree of the graph given in the following figure by using the prim's…

A: We need to contruct MSt tree. See below for complete detail solution.

Q: By using Kruskal’s algorithm find the shortest spanning tree for the following grap

A: Sorting of Edges Sort the sequence based on edges/ weights.

Q: m's algorith to find a minimum spanning tree for the following weighted graph starting from vertex…

A: Prim's algorithm is a minimum spanning tree algorithm that takes a graph as input and finds the…

Q: Q8. Using the network graph from Q7, draw a) A tree b) A spanning tree

A: Here initially we draw  undirected network diagram  given data:…

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

A: Given graph:

Q: Show the procedure to find the minimum spanning tree of the following graph according to Prim's…

A: Applying x=3 on edge values, the graph becomes as follows: Prim's algorithm works with adding…

Q: By using Kruskal’s algorithm find the shortest spanning tree for the following graph: (picture)

A: Sort the sequence based on edges/ weights.

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: Use Kruskal’s Algorithm, determine a minimum spanning tree for the graph below.

A: First sort the edges according to their weights Weights Source Destination 13 M S 14 N S 16…

Q: Problem 2. Perform Breadth-First Search on the undirected graph shown in figure 2 (or show th in…

A: Breadth first search is a graph traversal algorithm where queue data structure is used.  Here when a…

Q: QUESTION 9 For the graph below, find (a) a breadth-first spanning tree with root 1, (b) a…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: For the graph as shown in Figure 3, find the minimum spanning tree based on Kruskal's Algorithm.…

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Q: Given the graph in Figure 2.1, draw the minimum spanning tree (MST) using the Prim- Jarnik's…

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

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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: Questions 1) Consider the following graph a) How many spanning trees does the graph have? (must draw…

A: A spanning tree is a subset of Graph G, which has all the vertices covered with the minimum possible…

Q: For the following undirected graph (unless otherwise indicated, always visit adjacent nodes in…

A: Introduction: Here we are required to explain and give the DFS and BFS for the given undirected…

Q: Use the matrix tree theorem to find the number of spanning trees in the complete graph on 4 nodes…

A: I have handwritten the solution, Please appreciate: Solution:

Q: Find a minimum spanning tree for the graph in Figure 9.84 using Kruskal's algorithm 3 10 A В 4, 4 2,…

A: We are given a graph and we are going to find its Minimum spanning tree using Kruskal's algorithm.…

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: Find a minimal spanning tree of the weighted graph below, using (a) Kruskal's Algorithm  (b) Prim's…

A: A graph is a set of vertices and edges which is represented as G = (V, E).  A minimum spanning tree…

Q: Network Science Suppose that a network is a giant clique of N nodes, with N even. What is the…

A: Network science:  Graph partitioning and community detection refer to the division of the vertices…

Q: Given the graph below, run the Kruskal’s algorithm to find the minimum spanning tree. Show the…

A: A minimum spanning tree has the (v-1) edges where V is the number of vertices in the graph. steps…

Q: Apply improved Dijkstra’s algorithm to the following graph to find the shortest path from A to every…

A: Dijkstra’s algorithm An algorithm that is used for finding the shortest distance, or path, from…

Q: Use Prim's algorithm to find the minimum weighted spanning tree for the graph in figure K. Fill in…

A: In this we are applying the prims algorithm by considering the below points, 1. Remove all parallel…

Q: Problem 2: Using Kruskal's algorithm find the minimum spanning tree for the graph shown in figure 2.…

A: First lets understand the process of Kruskal's algorithm:step1)sort all edges in sorted order of…

Q: (2) Use Prim's algorithm to compute the minimum spanning tree for the weighted graph. Start the…

A: Minimum spanning tree is a sub-graph such that, all the vertices in the original graph exist in…

Q: Question#1 For each of the graphs: graph A, and graph B, answer the following questions: (a) List…

A: Given that, three graphs A, B and C. The pre order depth first search means, visit the current node…

Q: ) Give the minimum spanning tree using Prim’s algorithm (starting at vertex A). B) Give the…

A: The minimum spanning tree of the given graph

Q: a) 2 1 3 5 8 Show the adjacency matrix for the graph. 7 2 5 b) List the nodes of the graph in…

A: We are given a graph with vertices and edges with edge weights. First we will draw the adjacency…

Q: 4. (a) Use Dijkstra's algorithm to find the shortest path from node A to node G in the following…

A: Here in this multi part question we have given a graph with sources vertex A .and we have asked to…

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A: Fundamental cycles of a graph is a set that contains all the possible cycles in the graph.…

Q: 2. For the graph shown above, use Kruskal's algorithm to find a minimum spanning tree.

A: Here are the steps involving Kruskal's algorithm 1) Sort all edges in increasing order of their edge…

Q: Compute a minimum spanning tree for the following graph, using the Prim-Jarnik algorithm, and…

A: ANSWER:-

Q: Q2. Find the minimum spanning tree of the graph below by choosing node C as a source using Prim's…

A: Here in this question we have given a graph and we have asked to find minimum spanning tree using…

Q: How many spanning trees are can be generated from these graphs?

A: From a complete graph, by removing maximum e - n + 1 edges, we can construct a spanning tree. A…

Q: 1. Consider the graph below (Graph 1) and apply Kruskal’s Algorithm to find the minimum spanning…

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Q: 2. Given Graph G = (V, E) 4 D 5 4 3 2 11 3 10 6 2 1 6 2 1 3 11 8 4 a. Find the Minimum Spanning Tree…

A: Please refer to the following steps for the complete solution of the problem above.

Q: or the given graph draw the adjacency matr 2.

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Q: b) Based on the depth-first search to create the minimum spanning tree for the following graph.…

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Q: i. For the graph pictured below, use the Matrix Tree Theorem to compute the number of labeled…

A: To find the number of spanning trees, follow the below steps: Make a matrix where the number of…

Q: Given the graph below, find the minimal spanning tree using a.) Kruskal's algorithm b.) Prim's…

A: a. kruskals algorithm b.prims algorithm c. boruka algorithm

Q: Q8. Using the network graph from Q7, draw a) Atree b) A spanning tree

A: Here we solve each of it:…

Q: Please consider the following undirected graph: 1. How Many Spanning Tree are possible for this…

A: Given: We are given a graph that has nodes and is connected by edges. Each edge has the distance…

Minimum Spanning Tree

A spanning tree is a sub-graph of a connected, undirected graph. It has all the vertices of a graph with the minimum possible number of edges. If a vertex is skipped, then it will not be a spanning tree. The edges of a spanning tree may or may not have weights.