Prims Algorithm Video Lecture | Algorithms - Computer Science Engineering (CSE)

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FAQs on Prims Algorithm Video Lecture - Algorithms - Computer Science Engineering (CSE)

1. What is Prim's Algorithm used for?
Ans. Prim's Algorithm is used for finding the minimum spanning tree of a connected, undirected graph.
2. How does Prim's Algorithm work?
Ans. Prim's Algorithm starts with an arbitrary node and then grows the minimum spanning tree by adding the edge with the smallest weight that connects a vertex in the tree to a vertex outside of the tree until all vertices are included.
3. What is the time complexity of Prim's Algorithm?
Ans. The time complexity of Prim's Algorithm is O(V^2) using an adjacency matrix or O(E log V) using an adjacency list, where V is the number of vertices and E is the number of edges in the graph.
4. Can Prim's Algorithm be used for directed graphs?
Ans. No, Prim's Algorithm is specifically designed for undirected graphs. For directed graphs, other algorithms like Dijkstra's Algorithm can be used to find the minimum spanning tree.
5. What happens if a graph in Prim's Algorithm is disconnected?
Ans. If the graph is disconnected, Prim's Algorithm will find the minimum spanning tree for each connected component separately.
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