Which of the following algorithms is used to find the minimum spanning tree of a graph?Prim's algorithmDijkstra's algorithmBellman-Ford algorithmTopological sort
Question
Which of the following algorithms is used to find the minimum spanning tree of a graph?Prim's algorithmDijkstra's algorithmBellman-Ford algorithmTopological sort
Solution 1
Prim's algorithm is used to find the minimum spanning tree of a graph.
Solution 2
The algorithm used to find the minimum spanning tree of a graph is Prim's algorithm.
Here's a step-by-step explanation of how Prim's algorithm works:
- Initialize a tree with a single vertex, chosen arbitrarily from the graph.
- Grow the tree by one edge: of the edges that connect the tree to vertices not yet in the tree, find the minimum-weight edge, and transfer it to the tree.
- Repeat step 2 (until all vertices are in the tree).
In contrast, Dijkstra's algorithm is used for finding the shortest paths between nodes in a graph, Bellman-Ford algorithm also solves the single-source problem if edge weights may be negative, and topological sort is used for scheduling a sequence of jobs or tasks based on their dependencies.
Similar Questions
Which algorithm is commonly used to find the minimum spanning tree of a weighted graph?ADijkstra's AlgorithmBKruskal's AlgorithmCBellman-Ford AlgorithmDFloyd-Warshall Algorithm
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.forward methodgreedy methoddivide and conquer methodback tracking method Previous Marked for Review Next
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
Kruskal’s algorithm is used to ______Select one:a.find minimum spanning treeb.find single source shortest pathc.find all pair shortest path algorithmd.traverse the graph
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.