Prim's and Kruskal's AlgorithmsExplores Prim's and Kruskal's algorithms for finding minimum spanning trees in a graph, covering their correctness, implementation, and analysis.
Minimum Spanning TreesCovers the implementation and analysis of disjoint sets data structure and introduces the concept of minimum spanning trees.
Polynomial Identity TestingCovers polynomial identity testing using oracles and random point evaluation, with applications in graph theory and algorithmic aspects.