# JNTU-K B.TECH R19 3-2 Syllabus For Design and analysis of algorithms PDF 2022

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### Design and analysis of algorithms Unit One

#### Introduction

Introduction: Algorithm Definition, Algorithm Specification, performance Analysis, Performance measurement, Asymptotic notation, Randomized Algorithms.Sets &Disjoint set union: introduction, union and find operations.Basic Traversal & Search Techniques: Techniques for Graphs, connected components and Spanning Trees, Bi-connected components and DFS.

### Design and analysis of algorithms Unit Two

#### Divide and Conquer

Divide and Conquer: General Method, Defective chessboard, Binary Search, finding the maximum and minimum, Merge sort, Quick sort.The Greedy Method: The general Method, container loading, knapsack problem, Job sequencing with deadlines, minimum-cost spanning Trees.

### Design and analysis of algorithms Unit Three

#### Dynamic Programming

Dynamic Programming:The general method, multistage graphs, All pairs-shortest paths, single-source shortest paths: general weights, optimal Binary search trees, 0/1 knapsack, reliability Design, The traveling salesperson problem, matrix chain multiplication.

### Design and analysis of algorithms Unit Four

#### Backtracking

Backtracking:The General Method, The 8-Queens problem, sum of subsets, Graph coloring, Hamiltonian cycles, knapsack problem.Branch and Bound: FIFO Branch-and-Bound, LC Branch-and-Bound, 0/1 Knapsack problem, Traveling salesperson problem.

### Design and analysis of algorithms Unit Five

#### NP-Hard and NP-Complete

NP-Hard and NP-Complete problems: Basic concepts, Cook’s Theorem.String Matching: Introduction, String Matching-Meaning and Application, NaÏve String Matching Algorithm, Rabin-Karp Algorithm, Knuth-Morris-Pratt Automata, Tries, Suffix Tree.

### Design and analysis of algorithms Course Objectives

Toprovideanintroductiontoformalismstounderstand,analyzeanddenote time complexities ofalgorithmsTo introduce the different algorithmic approaches for problem solving through numerous exampleproblemsToprovidesometheoreticalgroundingintermsoffindingthelowerbounds of algorithms and theNP-completeness

### Design and analysis of algorithms Course Outcomes

DescribeasymptoticnotationusedfordenotingperformanceofalgorithmsAnalyze the performance of a given algorithm and denote its time complexityusingtheasymptoticnotationforrecursiveandnon-recursive algorithmsList and describe various algorithmicapproachesSolveproblemsusingdivideandconquer,greedy,dynamicprogramming, backtracking and branch and bound algorithmicapproachesApply graph search algorithms to real worldproblemsDemonstrate an understanding of NP-Completeness theory and lower boundtheory

### Design and analysis of algorithms Text Books

1)Ellis Horowitz, Sartaj Sahni,Sanguthevar Rajasekaran, “ Fundamentals of Computer Algorithms”, 2ndEdition, Universities Press.2)Harsh Bhasin, “ Algorithms Design & Analysis”, Oxford University Press.

### Design and analysis of algorithms Reference Books

1)Horowitz E. Sahani S: “Fundamentals of Computer Algorithms”, 2ndEdition, Galgotia Piblications, 2008.2)S. Sridhar, “Design and Analysis of Algorithms”, Oxford University Press.

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