Given the following graph. Find the sum of the weights of the edges in a minimum spanning tree E 11 6. 15 5 7 13 2 14 1 10 A 12 25 20

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

A:

Q: Question 3 51 2 1 10 4 8 23 2. 9, 11 18 8. 3.

A: The minimum spanning tree of the given  weighted graph using Prim's algorithm

Q: 26 11 12 15 2 10

A: Prim's algorithm Prim’s algorithm is a greedy algorithm. Prim’s algorithm always starts with the…

Q: Find a minimal spanning tree T for weighted graph G using Kruskal’s and Prim’s Algorithm (b) find…

A:

Q: In the following graph, suppose A is the starting node. Solve MST problem with Prim's algorithm.…

A: Prim's algorithm for minimum spanning tree takes a graph and forms a tree which includes all the…

Q: Graph 4: X3 5 9 6

A: According to the information given:- We have to follow the instruction in order to get minimum…

Q: Question 1. Draw five possible spanning trees for the given graph. 1 12 4 3 3 4 2.

A: The answer is given in the below step

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: 2.Given a graph G: 8. 4 10 5. 1. (12) 3

A: Given :- Give the order in which nodes are traversed with BFSfrom source 2:from source 1:

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

A:

Q: a. Using depth-first search. b. Using breadth-first search.

A: This is very simple. Solution a) DFS Path for spanning tree: abcdfejghiklmnopqrst Note: It can…

Q: For the given graph draw the adjacency matrix & find the minimum spanning tree. 1 6. 3 2 3 1 4

A:

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: U 16 X 7 24 10 8 14 t 20 V Y G 16 24 26 14 W 12 Z

A: Prim's algorithm is a greedy algorithm used to find a minimum spanning tree in a weighted graph. It…

Q: 10 B 11 A 24- -15- -30- E D 7 19 -17- ·6· -14- 27 H 22 G -18- 12- 3 K 25 J Find the shortest path…

A: The task is to find the shortest path from point A to point L. We are given a series of vertices…

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: algorithm

A: Given :- In the above question, a weighted graph is mention in the above given question   Need to…

Q: Find the weight of the minimum spanning tree for the graph.

A: Initialize the minimum spanning tree with a vertex chosen at random. Find all the edges that connect…

Q: 1 11 2 6 12 5 3 11 4

A: Minimum spanning tree To find the minimum spanning tree, we have two algorithms that is Kruskal and…

Q: Illustrate Kruskal's algorithm to find the minimum spanning tree of the graph below 5 6 1 4 10 3 2 2…

A: Applying Kruskal's algorithm on the given graph to find the minimum spanning tree.

Q: Consider the following weighted undirected graph and draw two Minimum Spanning Trees (MST) using…

A: Here in this question we have given a graph..and we have to apply two algorithm on it for finding…

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: 7. Let G be an edge weighted graph whose SHORTEST PATH TREE T from VERTEX v₁ is: V9 V5 3 V1 5 2 V10…

A: According to the information given;- We have to determine a shortest path from mentioned vertexes in…

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: Illustrate a minimum spanning tree (MST) using Kruskal’s Algorithm for the graph in Figure 4.…

A: A minimum spanning tree or MST is a subgraph of the graph where all the vertices are present and…

Q: 4. 5 5 7 8 9

A: Given that nodes are  4,5,7,8,9. Costs are 3,5,5,9,1,6,9.

Q: K- Find a spanning tree for the connected graph. Choose the correct answer below. OA. B OC. A A C B…

A: A spanning tree is subset of a graph. Spanning tree connects all the vertices without forming any…

Q: For the graph in Figure 1 below, construct a spanning tree using the breadth-first algorithm. Show…

A: Here we have given a spanning tree using breadth first strategy. You can find the solution in step…

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: 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 B C D E F A -- 23 24218 2002 B C 23 41 2 29 10 -- 36 18 43 D E 29 1 10 20 36 18 19 19 45 40 F…

A: In this question we have to find the minimum spanning tree and total cost of the tree for the given…

Q: Question 4: Find the Shortest Path Tree for the given graph using Dijkstra's algorithm and write the…

A: Here in this question we have given a graph and we have asked to apply dijkstra algorithm and find…

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: Type the weight of each edge in the order in which they will be selected when using Kruskal's…

A: The minimal spanning tree is a tree that is extracted from a graph where each vertex is reachable to…

Q: Consider the graph in Figure 20-20. Find the shortest distance from node 0 to every other node in…

A: SOLUTION -

Q: After running the Kruskal's algorithm on given graph. Which path is not on the minimum spanning…

A: Minimum Spanning Tree:          A spanning tree of a connected, undirected graph is a subgraph of…

Depth First Search

Depth-first search (DFS) also known as Depth First traversal is an algorithm used to traverse or search the nodes in a tree or graph data structure. Traversal usually means visiting all the nodes of a graph. DFS performs in a depth-ward manner. It uses a stack to remember the vertices it has visited. The search starts from the root node, where any arbitrary node is selected as a root node in a graph, and then each node is explored along each branch before performing backtracking. The DFS algorithm uses a recursive technique by following the idea of backtracking. DFS algorithm does this by performing an in-depth search of all the nodes by traversing in a forward direction. If the required node is not found, it starts backtracking to previously visited nodes.