- Foundation of Algorithm Analysis
- ITERATIVE ALGORITHMS
- DIVIDE AND CONQUER ALGORITHMS
- GREEDY ALGORITHMS
- DYNAMIC PROGRAMMING
- BACK TRACKING
- PARALLEL ALGORITHMS
Foundation of Algorithm Analysis
Detail Analysis of Algorithm (Like Factorial Algorithm)
Concept of Aggregate Analysis
Recursive algorithm and recursive relations
- Recursion Tree Method,
- Substitution Method,
- Application of Masters Theorem
Sequential Search and its analysis
Bubble, Selection, and Insertion Sort and its analysis
DIVIDE AND CONQUER ALGORITHMS
Binary Search, Min-Max Finding and their Analysis
Merge Sort and Analysis, Quick Sort and Analysis (Best Case, Worst Case and Average Case). Heap Sort (Heapify, Build Heap and Heap Sort Algorithms and their Analysis)
Introduction, Ski Problem, Load Falancmg Paging and Caching: Last-in First-out (LIFO). Longest Forward Distance (LFD), Least Recently Used (LRUY)
Optimization Problems and Optimal Solution:
Introduction of Greedy Algorithms, Elements of Greedy Strategy
Job sequencing with Deadlines, Kruskal’s Algorithm, Prims Algorithm, Dijkstra’s Algorithm and their Analysis
Purpose of Huffman Coding. Prefix Codes Huffman Coding Algorithm and its Analysis
Greedy Algorithm vs Dynamic Programming
Recursion vs Dynamic Programming, Elements of DP Strategy
Matrix Chain Multiplication, String Editing, zero one knapsack Problem, Floyd Warshwalll Algorithm, Travelling Salesman Problem and their Analysis
Dynamic Programming Vs Memoization
Concept of Backtracking
Recursion vs Backtracking
Subset-sum Problem, Zero-one Knapsack Problem. N-queen Problem and their Analysis
Parallel processing paradigms:
Semantics of concurrent programming (Axiomatic, Denotational, Operational)
PRAM Algorithms (Computing prefix sum,Parallel sorting algorithm)
n – criterion algorithm (Sorting, Parenthesis matching, optimall sum sub segment)
Parallel graph algorithms
Tree graph algorithm, (Computing post order numbering, computing the number of descendants, level computation, Lowest Common Ancestor computation
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