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

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

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Q: A vertex in the second level can be drawn before a vertex in the first level to obtain a spanning…

A: In breadth-first search research level by level so we can we cannot draw the second level before the…

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: 5. How many spanning trees are can be generated from its graph? Define 2 spanning trees of Graph A…

A: first lets understand what is spanning tree. spanning tree is having no cycle and all nodes of graph…

Q: Find the minimum spanning tree for the graph in Figure 4 and draw the resulting graph V(T), E(T) and…

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Q: Design an algorithm for finding a maximum spanning tree—a spanning tree with the largest possible…

A: Spanning tree means it is a tree which covers all vertices exactly one time. Maximum spanning tree…

Q: 6. Use a depth first search starting at vertex a to find a spanning tree for the given graph.

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

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Q: Find the weight of the maximum spanning tree of this graph.

A: 1.To write a  function to find index of max-weight  vertex from set of unvisited vertices 2.Now we…

Q: (a) Find the shortest path from vertex S to vertex T, i.e., the path of minimum weight between S and…

A: To solve the above problem for the shortest path problem we can use the Dijkstra's algorithm A.)…

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: Choose a graph G with with vertices v0, v1, .., v9 and find a minimum spanning tree for G: 1. Use…

A: ANSWER: Minimum Spanning Tree: Spanning tree cost is proportion of stores of relative huge number of…

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

A: We are given a graph where we will find how many minimum spanning trees are possible for the given…

Q: Find the minimum spanning tree of the graph, starting from node 0

A: To do: Minimum spanning tree of the given graph

Q: Is the minimum weight spanning tree of a graph unique? (That is, is there exactly one of them?) If…

A: If all the edges of a graph have different weights, we can have only one minimum weight spanning…

Q: 13 10 4 10

A: Prim's algorithm means to pick the minimum weight vertex till all vertex are not covered.

Q: f the edge weights of a connected weighted graph are distinct, the graph must have a unique minimum…

A: If the edge weights of a connected weighted graph are distinct, the graph must have a unique minimum…

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: Use Prim's algorithm and Kruskal's algorithm to find a minimum spanning tree for the weighted graph…

A: For a weighted connected graph, a minimum spanning tree is created by selecting all the vertices of…

Q: Use Prim's algorithm and Kruskal's algorithm to find a minimum spanning tree for the weighted graph…

A: In prim's algorithm let the starting vertex be a. From a go on choosing the next least weight edge.…

Q: Find a minimum spanning tree for the graph below using Kruskal's algorithm. Clearly show the content…

A: 1. Sort all the edges in non-decreasing order of their weight. 2. Pick the smallest edge. Check if…

Q: Given a complete graph with vertex set {A, B, C, D, E, F} and the following weights on the edges. А…

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Q: Apply Prim's algorithm or Kruskal's algorithm or Borvuka's algorithm to find the minimum spanning…

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

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: Take an n-cycle and connect two of its nodes at distance to buy an edge. Find the number of total…

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

Q: Q/ Find minimum spanning tree and its weight of the weighted graph by using Kruskal algorithm. 3 11…

A: Kruskal's Algorithm helps in initiating or building the spanning tree to the minimum, with the help…

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: Given a connected undirected graph with a weight (or cost) associated with each edge, find the…

A: Given Undirected graph contains 6 nodes A, B, C, D, E, F. The minimum spanning tree of a graph is a…

Q: Statement: Let G be a graph having distinct edge weights. Then, there exists a unique shortest-path…

A: If all edge weights in a graph G are distinct, then G has a unique minimum spanning tree.

Q: Find the minimum spanning tree of the weighted graph

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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: Determine the exact order in which these nine edges are added to form the minimum-weight spanning…

A: Introduction: Here we are required to determine the exact order in which these 9 edges are added to…

Q: raw a connected graph with 7 nodes and 10 edges which has no cutnode nor bridge. Find by the use of…

A: Lets see the solution.

Q: Consider the following graph: Draw the DFS and BFS spanning trees for the above graph starting from…

A: Breadth-First Search(BFS): In BFS we explore the adjacent nodes first and then we explore the…

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

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Q: Suppose a weighted graph G has two minimum spanning trees. Prove that in any cycle formed by the…

A: To prove:  at least two of the edges have the same weight

Q: Let the graph G be a cycle of n nodes in which x edges have the weight 100 and y edges have weight…

A: Formula for total number of minimun spanning tree in graph G is nn-2 where n is number of nodes in…

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

A: I have provided  HAND-WRITTEN  solution-------------------

Q: Find the minimum spanning tree using Prim's algorithm for the graph Show each step as in slide 89.

A: The user can select any arbitrary node as root node. Let’s assume, the user choose “Post Office”…

Q: Which is true/false. Let G be a connected undirected weighted graph. Consider the following two…

A: Introduction :Given , two  statements related to connected weighted graphs , S1: There exists a…

Q: Let Tsp be the tree of shortest paths of the below graph (G1) starting from vertex A and let TMST be…

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Q: 3 (o 1 3 0 0 1 0 3 0 6 3 3 0 2 4 00 00 2 05 0 6 4 5 5 0 A minimum spanning tree of the graph…

A: Given: To choose the correct option.

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.