Prim's and Kruskal's Algorithms

This lecture covers Prim's algorithm, starting with any vertex and greedily growing a tree by adding minimum weight crossing edges. The cut property is explained, showing why the algorithm works. The lecture also delves into Kruskal's algorithm, which starts with an empty forest and adds the cheapest edge that does not create a cycle at each step. Implementation challenges and analysis of both algorithms are discussed, emphasizing the importance of maintaining acyclicity and finding minimum crossing edges. The lecture concludes with a summary highlighting the use of Min-priority queue for Prim's algorithm and Union-Find for Kruskal's algorithm.