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An Introduction to Algorithms and Analysis

An Introduction to Algorithms and Analysis. Instructor: Prof. Sourav Mukhopadhyay, Department of Mathematics, IIT Kharagpur. This course provides an introduction to mathematical modeling of computational problems. It covers the common algorithms, algorithmic paradigms, and data structures used to solve these problems. The course emphasizes the relationship between algorithms and programming, and introduces basic performance measures and analysis techniques for these problems. (from nptel.ac.in)

Lecture 32 - Van Emde Boas Data Structure


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Lecture 01 - Insertion Sort
Lecture 02 - Analysis of Insertion Sort
Lecture 03 - Asymptotic Notation
Lecture 04 - Recurrence for Merge Sort
Lecture 05 - Substitution Method for Solving Recurrence
Lecture 06 - The Master Method
Lecture 07 - Divide and Conquer
Lecture 08 - Divide and Conquer (cont.)
Lecture 09 - Strassen's Algorithm
Lecture 10 - Quicksort
Lecture 11 - Analysis of Quicksort
Lecture 12 - Randomized Quicksort
Lecture 13 - Heap
Lecture 14 - Heap Sort
Lecture 15 - Decision Tree
Lecture 16 - Linear Time Sorting
Lecture 17 - Radix Sort and Bucket Sort
Lecture 18 - Order Statistics
Lecture 19 - Randomized Order Statistics
Lecture 20 - Worst Case Linear Time Order
Lecture 21 - Hash Function
Lecture 22 - Open Addressing
Lecture 23 - Universal Hashing
Lecture 24 - Perfect Hashing
Lecture 25 - Binary Search Tree (BST) Sort
Lecture 26 - Randomly Built BST
Lecture 27 - Red Black Tree
Lecture 28 - Red Black Tree (cont.)
Lecture 29 - Augmentation of Data Structure
Lecture 30 - Interval Trees
Lecture 31 - Fixed Universe Successor
Lecture 32 - Van Emde Boas Data Structure
Lecture 33 - Amortized Analysis
Lecture 34 - Computational Geometry
Lecture 35 - Computational Geometry (cont.)
Lecture 36 - Dynamic Programming
Lecture 37 - Longest Common Subsequence
Lecture 38 - Graphs
Lecture 39 - Prim's Algorithm
Lecture 40 - Graph Search
Lecture 41 - Breadth-First Search and Depth-First Search
Lecture 42 - Shortest Path Problem
Lecture 43 - Dijkstra's Algorithm
Lecture 44 - Example of Dijkstra's Algorithm
Lecture 45 - Bellman-Ford Algorithm
Lecture 46 - Correctness of Bellman-Ford Algorithm
Lecture 47 - Application of Bellman-Ford Algorithm
Lecture 48 - All Pairs of Shortest Path
Lecture 49 - Floyd-Warshall Algorithm
Lecture 50 - Johnson Algorithm
Lecture 51 - Disjoint Set Data Structure
Lecture 52 - Union-Find
Lecture 53 - Augmented Disjoint Set Data Structure
Lecture 54 - Network Flow
Lecture 55 - Network Flow (cont.)
Lecture 56 - Network Flow (cont.)
Lecture 57 - More On Dynamic Programming
Lecture 58 - More On Dynamic Programming (cont.)
Lecture 59 - Computational Complexity
Lecture 60 - Computational Complexity (cont.)