Introduction– Asymptotic Notations- Monotonicity vs. Nonmonotonicity – Examples.Analysis of iterative programs, Analysis of recursive programs: Recurrence Relation:Substitution method, Recursion Tree Methods, Master Method. Sorting: Bubble – Insertion Sort- Selection Sort. Divide and Conquer: Quick Sort- Merge Sort- Bucket Sort-Lower Bounds- Heap Sort – Comparisons of Sorting. Greedy Algorithm: Fractional Knap-sack Problem- Task Scheduling Problem. Dynamic Programming: Matrix Multiplication Problem- 0/1 Knap-sack Problem. Branch and Bound – backtracking

Graph Algorithms: Graph Traversals (DFS, BFS with Analysis) – Shortest Path Algorithms (with Analysis) – Dijkstra – Bellman Ford- Floyd Warshall’s all Pair shortest path Algorithm-Minimum spanning Tree (with Analysis) – Kruskal– Prims – Applications of BFS and DFS. Network Flow algorithms

NP Problems: Definition: P-NP-NP Complete-NP Hard. Examples:P-NP.

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