ABCla A C A EF -- B 31 31 10 12 D 1 39 5 E 36 25 2 C 10 12 39 5 -- D E 1 36 25 2 16 -- -- 16 24 17 9 13 30 F 24 17 9 13 30 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?

Q: O Write the difference between Spanning Tree and Minimum Spanning Tree (MST) ? (ii) Calculate the…

A: I have answered both the question along with their sub-parts. I have uploaded image for the…

Q: In the given graph: 1 с d 4 The shortest path having minimum cost to reach vertex E if A is the…

A: To find the shortest path with minimum cost from vertex a to e we have consider the weight between…

Q: ▪ Implement Prim's algorithm in any programming language to find the minimum spanning tree of the…

A: According to the information given:- We have to Implement Prim's algorithm in any programming…

Q: (d) Based on the graph below, show the steps for Dijkstra's algorithm to find the shortest paths…

A: Answers:   We have to provide the detailed solution in the below Picture:

Q: Use Prim's algorithms AND the Kruskal's algorithm to find the minimum spanning tree for the given…

A: below is the minimal spanning tree using given algorithms

Q: The weights of edges in a graph are shown in the table below. We will apply the nearest neighbor…

A: To solve this problem first you need to draw the graph and assign the weights mentioned in the…

Q: Given the adjancency matrix of a graph, draw the depth first spanning tree, and breadth first…

A: Given an adjacency matrix representing a graph, by using the adjacency matrix we need to draw a…

Q: 8. For the weighted graph depicted below apply Prim's algorithm to find a minimal spanning tree.…

A:

Q: A 4 B 8 .

A: Solution - In the given question, we have to find a minimum spanning tree and minimal weight for the…

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: This graph shows the times in minutes to travel directly between towns P, Q, R, T, S and U. Read the…

A: The options correct are:- Not every edge is connected to every other vertex by an edge. Therefore…

Q: The following is an undirected - weighted graph. Draw the minimum spanning tree using Kruskal's…

A: It uses Greedy approach to find the MST of a connected undirected graph. It uses the following…

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

A:

Q: Dijkstra's algorithm

A: Given :- A directed graph along with the weights is mentioned in the above  question

Q: From the following weighted graph, which edge you will choose as a third edge using Kruskal's…

A: Answer:

Q: Draw a tree with 14 vertices Draw a directed acyclic graph with 6 vertices and 14 edges Suppose that…

A:

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: 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: 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: Start from vertex A, use Prim's algorithm to find a minimum spanning tree (MST) for the following…

A: A Spanning Tree  of a connected undirected weighted graph G is a subgraph of G that is a tree and…

Q: 20 10 Show the execution of Dijkstra's shortest path algorithm, starting from vertex A. Draw the…

A:

Q: Find the minimum spanning tree using Kruskal's algorithm. 28 1 2 10 16 6 25 24 5 14 7 22 18 4 12 3

A: kruskal algorithm kruskal algorithm are used to find the minimum spanning tree(mst) in 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: 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: 5. Vertices: (a, b, c, d, e, f. g} Edges: {{a,b). {a, f). (b, e). (b. g). (c. f). {c. g). (c. d).…

A: vertices {a,b,c,d,e,f,g} edes given draw graph and find adjacent vertices of vertex c find shortest…

Q: Use PRIM's algòrithm 14 F E 16 13 5 10 B 12 G 11 8. 7 18 6 C 9,

A: The steps for implementing Prim's algorithm are as follows: Initialize the minimum spanning tree…

Q: 3. Find the shortest path from c to fusing the Dijkstra's algorithm in graph K3. Fill in the table…

A: Introduction

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: 2 3 5 6 1 00 72 50 90 35 2 00 0 71 70 73 75 71 0 3 72 77 | 90 4 00 50 70 60 40 5 90 73 77 60 80 35…

A: We are given an adjacency matrix and we are going to find out cost of minimum spanning tree. First…

Q: java program to find minimum spanning tree (MST) of given graph.

A: implement a java program to find minimum spanning tree (MST) of given graph.

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: 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: Find minimum cost spanning tree for the following graph using Kruskal's algorithm: 7 3 5 2 (B 4 3 7…

A: A connected, undirected graph's minimal spanning tree (MST) can be found using the greedy Kruskal's…

Q: Show all the steps of Kruskal’s algorithm to find the minimum spanning tree from the graph below.…

A: Dear Student , According to Kruskal's algorithm we need to keep including the edges having minimum…

Q: 4. Consider the following graph. Apply Kruskal’s algorithm to find the minimum spanning tree and…

A: Kruskal algorithm is used to find the minimum spanning tree for a graph. To apply kruskal algorithm,…

Q: Kruskal's minimum spanning tree algorithm is executed on the following graph. F 7 B 3 5 D G 8 2 C 1…

A: Sort all the edges in non-decreasing order of their weights. The sorted edges are: AB (weight 2) BC…

Q: (a) Apply Dijkstra's Algorithm to the graph with A as the source/root. Draw the final graph its…

A: The final table after applying the algorithm on the given graph will be  Source is ' A '

Q: Write a program that creates the minimum spanning tree for the graph in Figure

A: The minimum spanning tree algorithm is really just a graph search algorithm (depth-first or…

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: 2 1 18 8 2 10 3 5, 5 4 /₁₁ 19 11 51 7 23/ 8 1 6 2

A: The set of vertices contained in MST should be represented by the boolean array mstSet[]. Vertex v…

Q: Vertex A B C D E F G H 16 4 known T T T T T T T 10 18 d. 7 0 15 19 41 11 12 20 P G H C M J 6 2 B 10…

A: Answer : Dijkstra's Algorithm - Using this algorithm we can find the shortest path between any 2…

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

A: We are given a graph containing 8 vertices, A to H. We are going to apply Kruskal's minimum spanning…

Q: Dijkstra's algorithm is an algorithm for finding the shortest paths between nodes in a weighted…

A: Given: We are given a graph with nodes and edges which connect those nodes. Source vertex given is…

Q: Question 3: Find the Minimum Spanning Tree for the given graph using Prim's algorithm and write the…

A: The spanning tree is the subgraph of an undirected connected graph. The minimum spanning tree is…