Analysis and Design of Algorithms

Sikkim Manipal University

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Analysis and Design of Algorithms - Transform and Conquer
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    Analysis and Design of Algorithms - Transform and Conquer

  • This unit defines the technique of transform and conquers. It describes the method of presorting, the Gaussian elimination technique and the approach of AVL and 2-3 trees in balanced search trees. It also defines heap sort and the problem reduction strategy.
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Analysis and Design of Algorithms - Space and Time Tradeoffs
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    Analysis and Design of Algorithms - Space and Time Tradeoffs

  • This unit explains the importance of space-time tradeoff in programming. It describes the process of sorting by counting and the input enhancement in string matching. It explains hashing technique the B-Tree technique with respect to space and time tradeoffs.
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Analysis and Design of Algorithms - mathematical Aspects and Analysis of Algorithms
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    Analysis and Design of Algorithms - mathematical Aspects and Analysis of Algorithms

  • This unit explains the types of asymptotic notations. It lists the basic asymptotic efficiency classes. It also describes the efficient analysis of non recursive algorithms with illustrations.
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Analysis and Design of Algorithms - Mathematical Aspect and Analysis of Algorithms -- 2
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    Analysis and Design of Algorithms - Mathematical Aspect and Analysis of Algorithms -- 2

  • This unit defines recursion and recursive algorithm with examples. It also discusses the empirical analysis of algorithms and algorithm visualization with examples.
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Analysis and design of Algorithms - Introduction to Algorithms
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    Analysis and design of Algorithms - Introduction to Algorithms

  • This unit covers the various definitions of algorithm, its types, properties and the steps for designing it. This unit gives a brief idea on solving a problem using different algorithmic problem solving techniques. It also introduces data structures. their classification and characteristics.
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Analysis and Design of Algorithms - Greedy Technique
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    Analysis and Design of Algorithms - Greedy Technique

  • This unit you covers the concepts of Greedy technique algorithms that are Used for optimization problems such as Kruskal's algorithm and F algorithm for finding minimum spanning trees. It also describes the Dijkstra s algorithm for finding single-source shortest paths, and the algorithm for finding optimum Huffman trees
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Analysis and Design of Algorithms - Fundamentals of the Analysis Of Algorithm Effciency
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    Analysis and Design of Algorithms - Fundamentals of the Analysis Of Algorithm Effciency

  • This unit covers algorithm analysis framework with respect to complexity of an algorithm. It gives an idea about various methods used for analyzing algorithms and explains the techniques involved in amortization. It also includes some case studies in algorithm analysis.
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Analysis and Design of Algorithms - Dynamic Programming-2
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    Analysis and Design of Algorithms - Dynamic Programming-2

  • Unit 11: Dynamic Programming-2 This unit defines the Principle of Optimality and analyzes binary search trees using dynamic programming. It also introduces the Knapsack problem and solves an instance of it using dynamic programming and memory functions.
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Analysis and Design of Algorithms - Dynamic Programming -- 1
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    Analysis and Design of Algorithms - Dynamic Programming -- 1

  • This unit introduces the Dynamic Programming technique with an example to calculate the n Fibonacci number. It explains the dynamic programming approach to compute binomial coefficients. It also describes the Warshall's and Floyd's algorithms.
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