Analysis of Algorithms

Syllabus

Analysis of Algorithms

Unit 1

Background

 Review of Algorithm, Complexity Order Notations: definitions and calculating complexity.

Divide And Conquer Method:
Binary Search, Merge Sort, Quick sort and Strassen's matrix multiplication algorithms.

Unit 2

Greedy Method


Knapsack Problem, Job Sequencing, Optimal Merge Patterns and Minimal Spanning Trees.

Dynamic Programming:

Matrix Chain Multiplication. Longest CommonSubsequence and 0/1 Knapsack Problem.

Unit 3

Branch And Bound

Traveling Salesman Problem and Lower Bound Theory. Backtracking Algorithms and queens problem.

Pattern Matching Algorithms:

Naïve and Rabin Karp string matching algorithms, KMP Matcher and Boyer Moore Algorithms.

Unit 4

Assignment Problems

Formulation of Assignment and Quadratic Assignment Problem.

Randomized Algorithms

Las Vegas algorithms, Monte Carlo algorithms, randomized algorithm for Min-Cut, randomized algorithm for 2- SAT. Problem definition of Multicommodity flow, Flow shop scheduling and Network capacity assignment problems.

Unit 5

Problem Classes Np, Np-Hard And Np-Complete

Definitions of P, NP-Hard and NP-Complete Problems. Decision Problems.Cook's Theorem. Proving NP- Complete Problems - Satisfiability problem and Vertex Cover Problem. Approximation Algorithms for Vertex Cover andSet Cover Problem.

Complete Material at one Place

Notes

Analysis of Algorithms Notes

Books

Analysis of Algorithms Books

Assignment

Analysis of Algorithms Assignment

Lab Work

Analysis of Algorithms Lab Work

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