Consider the following graph:Which edges would be included in the minimum spanning tree using Prim's algorithm starting from vertex A?Marks : 1Negative Marks : 0Answer hereAC, CD, DE, EB, BFAB, BD, DE, EF, FCAC, CD, DE, EB, FEAB, BD, DE, EC, CF
Question
Consider the following graph:Which edges would be included in the minimum spanning tree using Prim's algorithm starting from vertex A?Marks : 1Negative Marks : 0Answer hereAC, CD, DE, EB, BFAB, BD, DE, EF, FCAC, CD, DE, EB, FEAB, BD, DE, EC, CF
Solution
To find the minimum spanning tree using Prim's algorithm, we start from vertex A and gradually add edges to form the tree.
Looking at the given options, we can eliminate the ones that do not include vertex A.
Option 1: AC, CD, DE, EB, BF - This option includes vertex A and forms a connected tree.
Option 2: AB, BD, DE, EF, FC - This option does not include vertex A, so we can eliminate it.
Option 3: AC, CD, DE, EB, FE - This option includes vertex A and forms a connected tree.
Option 4: AB, BD, DE, EC, CF - This option does not include vertex A, so we can eliminate it.
Therefore, the correct answer is: AC, CD, DE, EB, BF.
Similar Questions
Prim’s Algorithm for finding the Minimum Spanning Tree of a graph is a kind of a
Prim’s Algorithm for finding the Minimum Spanning Tree of a graph is a kind of a _______ans.greedy methoddivide and conquer methodback tracking methodforward method Previous Marked for Review Save & Finish
Which of the following algorithms is used to find the minimum spanning tree of a graph?Prim's algorithmDijkstra's algorithmBellman-Ford algorithmTopological sort
Consider a graph G=(V, E), where V = { v1,v2,…,v100 }, E={ (vi, vj) ∣ 1≤ i < j ≤ 100} and the weight of the edge (vi, vj) is ∣i–j∣. The weight of the minimum spanning tree of G is ________.Marks : 1Negative Marks : 0Answer here1009899101
Constructing a minimum spanning tree for a graph G is to start with one connected component, add a vertex to have one connected component and no cycles, and end up with one connected componentQuestion 1Select one:a.Greedy Methodb.BFSc.Kruskals Algorithmd.Prims’s Algorithme.DFS
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.