1. Plans that Span (MSTs) 6 9 32₂ 3 4 6 1 4 2 2 2 5 3 7 8 8 6 5 5 1.1 Given the graph above, find a valid Spanning Tree. Note that we are not looking for Minimum Spanning Trees. (Multiple Spanning Trees exist)

Q: 27. Apply Kruskal's algorithm to find the minimum spanning tree. Answer by drawing the edges you use…

A: the answer is given below ;

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: 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: how to use Prims method to find the minimum spanning tree

A: Introduction: In this question, we are asked to find the minimum spanning tree by using prims…

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: a) Find three different spanning trees of the following connected graph F b PO

A: Spanning tree: Spanning tree is a sub-graph of undirected connected graph. It includes all 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: Problem 5: Given the below graph, Find the mining spanning tree using Kruskal Algorithm. 2 1 3 4 2 4…

A: Find the minimum spanning tree using kruskal Algorithm.

Q: Find minimum cost spanning tree for the following graph using Kruskal's algorithm: 7

A: In step 2, I have provided  handwritten solution images----------------

Q: : What is the smallest integer k such that G has a spanning tree in which no node has degree greater…

A: If we find the node with the maximum degree in the graph, then we can easily depict that all other…

Q: Problem 8: Use Kruskal's Algorithm to find the minimum spanning trees for the following graphs. 2 5…

A: Let's first see about kruskal's algorithm. Kruskal algorithm Kruskal's algorithm are the simplest…

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: Let A, B, C, D be the vertices of a square with side length 100. If we want to create a…

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:

Q: algorithm

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

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: a) Consider graph in Figure 3. Use Prim's algorithm to find and draw a minimum spanning tree from…

A: Prims algorithm is used to find out the minimal spanning tree problem which is also called as…

Q: 1. Using Kruskal's algorithm how many minimum cost spanning trees are possible (explain your answer)

A: According to the Bartleby guideline, we are supposed to answer only one question at a time. Kindly…

Q: The following graph shows the distances, in units of 100 km, between 12 cities. A 2 B 3 7 2 3 5 E 4…

A: Given: Units of 100 km between 2 cities. We have to find: Two different spanning trees and…

Q: 1. Use the depth-first algorithm to find a spanning tree.

A: With depth first algorithm a spanning tree of the given graph

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: 5. Draw a W, graph and label the vertices. Use a breadth first search starting at the central vertex…

A: W in W7 graph refers to a wheel graph which means is a chart framed by associating a solitary…

Q: Given the graph below, what should be the souce node such that in finding the shortest path tree,…

A: The above question belong to Design and Analaysis of algorithms domain of computer science and is…

Q: 1. Find the number of spanning trees for the given graph, using method from Kirchhoff's Theorem.…

A:

Q: 3. For each n ≥ 1, let S, be the graph obtained by taking a collection of n paths P₁,..., Pn and…

A:

Q: (a) path or not with the detailed explanation. As for the following network, write your answer…

A: Hello Student, hope you are doing well, I will be trying my best to explain and fulfill your query.…

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: Find the minimum spanning tree using Prim's algorithm and starting at vertex A. What is the minimum…

A: prism algorithm: Prim's algorithm (also known as Jarnk's algorithm) is a greedy algorithm in…

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: trate the following for undirected networks: a) A 3-regular graph must have an even number of…

A: This discipline, a subset of discrete mathematics, explores the relationships and properties of…

Q: Find the minimum spanning tree using Kraska Algorithm and give the total weight for t minimum…

A: The total weight is 37. The detail explanation is given below.

Q: (d) Given the distances between locations in the following table, determine a minimum spanning tree…

A: - We need to find the MST connecting all the locations.

Q: 0 1 11 7 1 2 2 DO 8 6 -7 2 3 14 5 10

A: Here i am going to solve this question through Kruskals algorithms. Kruskal's algorithm is a greedy…

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: Use Kruskal's algorithm to find a minimal spanning tree for the following graph, explaining each…

A: Kruskal's algorithm is a popular algorithm used to find the minimum spanning tree (MST) of a given…

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: From the graph below, answer the following: ID: 202311540 2 2 5 4 6 8 4 7 2 5 9 1) Using Prim's…

A: Solution 1 : Using Prim's algorithm to find minimum spanning Tree 1 ) Remove all parallel edges and…

Q: Find minimum cost spanning tree for the following graph using Kruskal's algorithm: 7 3 D 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: 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…

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.