Which algorithm is commonly used to find the minimum spanning tree of a weighted graph?ADijkstra's AlgorithmBKruskal's AlgorithmCBellman-Ford AlgorithmDFloyd-Warshall Algorithm
Question
Which algorithm is commonly used to find the minimum spanning tree of a weighted graph?ADijkstra's AlgorithmBKruskal's AlgorithmCBellman-Ford AlgorithmDFloyd-Warshall Algorithm
Solution
The algorithm commonly used to find the minimum spanning tree of a weighted graph is B. Kruskal's Algorithm.
Here's a step-by-step explanation of how Kruskal's Algorithm works:
- Sort all the edges from low weight to high
- Start adding edges to the Minimum Spanning Tree from the lowest weight. If adding the edge created a cycle, then reject this edge.
- Keep adding edges until all vertices are included in the Minimum Spanning Tree.
This algorithm ensures that the total weight of the tree is as small as possible.
Similar Questions
Which of the following algorithms is used to find the minimum spanning tree of a graph?Prim's algorithmDijkstra's algorithmBellman-Ford algorithmTopological sort
Which algorithm is used to find the shortest path between nodes in a weighted graph with non-negative weights?Bellman-Ford algorithmDijkstra's algorithmKruskal's algorithmFloyd-Warshall algorithm
How does Kruskal's algorithm find the minimum spanning tree in a graph?A) By selecting the edge with the smallest weightB) By selecting the edge with the largest weightC) By selecting edges randomlyD) By selecting edges based on a priority queu
Which algorithm is used to find the shortest path in a weighted graph with non-negative edge weights?A) Bellman-FordB) Kruskal'sC) Prim'sD) Breadth-First Search (BFS)
What is a minimum spanning tree (MST) in graph theory?Select one:a. A subtree of a graph that connects all the vertices with the minimum possible total edge weight.b. Any subtree of a graph that includes all of its vertices.c. A subtree that includes the shortest path between every pair of vertices.d. A tree with the minimum number of edges possible.
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