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Design & Analysis of Algorithms

By Suresh Fatehpuria, Mukesh Gupta, Neetu Agrwal

13 Ratings | 3 Reviews

Rs. 225

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Specifications of Design & Analysis of Algorithms

Book Details

  • 978-81-88870-85-1
  • English
  • 2009, 2010, 2011, 2012, 2013, 2014
  • Paper Back
  • 312

Contents

  • 1. Introduction to Algorithm Analysis
    Introduction, Analysis of Algorithms, Space Complexity, Time Complexity, Asymptotic Notations, Big Theta Notation (? ), Big oh Notation (O), Big Omega Notation (?), Little oh Notation (o), Little Omega Notation (?), Recurrences, Substitution Method, Iteration Method, Recursion Tree Method, Master Method, Sorting and Complexity, Bubble Sort, Selection Sort, Insertion Sort, Heap Sort, Counting Sort, Radix Sort, Bucket Sort, Review Questions.
     
    2. Divide and Conquer Approach
    Introduction, Binary Search, Merge Sort, Quick Sort, Strassen’s Matrix Multiplication, Properties of Matrices, Operations on Matrices, Strassen’s Matrix Multiplication, Review Questions.
     
    3. Greedy Method
    Introduction, Knapsack Problem, 0/1 Knapsack Problem, Fractional Knapsack Problem, Job Sequencing Problem, Optimal Merge Pattern, Minimal Spanning Trees, Kruskal’s Minimum Spanning Tree Algorithm, Prim’s Minimum Spanning Tree Algorithm, Review Questions.
     
    4. Dynamic Programming
    Introduction, Matrix Chain Multiplication, Longest Common Subsequence (LCS), 0/1 Knapsack Problem, Review Questions.
     
    5. Branch and Bound
    Introduction, Travelling Salesperson, Lower Bound Theory, Information Theory, Decision-tree Model, Oracles and Adversary Arguments, Problem Reduction, Review Questions.
     
    6. Backtracking
    Introduction, Queens Problem, 4-Queens Problem, 8-Queens Problem, Sum of Subsets Problem, Graph Coloring Problem, Hamiltonian Cycle Problem, Traveling Salesman Problem (TSP), Review Questions.
     
    7. Pattern Matching
    Introduction, Naive Pattern Matching Algorithm, Rabin Karp Algorithm, Knuth Morris Pratt Algorithm, Boyer Moore Algorithm, Review Questions.
     
    8. Assignment Problem
    Introduction, Formulation of Assignment Problem, Quadratic Assignment Problem (QAP), Branch and Bound-Assignment Problem, Review Questions.
     
    9. Randomized Algorithms
    Introduction, Las Vegas Algorithm, Monte Carlo Algorithm, Randomized Min Cut Algorithm, Randomized Algorithm for 2-SAT, Randomized Algorithm for N-Queens Problem, Review Questions.
     
    10. Flow Networks
    Introduction, Multi Commodity Flow, Maximum Flow Problem, The Ford-Fulkerson Method, Basic Ford-Fulkerson Algorithm, Minimum Cost Multi-Commodity Flow Problem, Flow Shop Scheduling, Permutation Flow Shop Scheduling Problem, Network Flow Assignment Problem, Review Questions.
     
    11. NP Completeness
    Introduction, Classification of Problems, NP-Hard and NP-Completeness, Cook’s Theorem, Proof of NP-Completeness, Satisfiability Problem, CLIQUE Problem, Vertex Cover Problem, Hamiltonian Cycle Problem, Traveling Salesman Problem (TSP), Approximation Algorithms, Vertex Cover Problem, Set Cover Problem, Review Questions.
     
    S. Solutions
    P. Papers

Reviews of Design & Analysis of Algorithms

  • 4.3
    Average Rating Based on 13 ratings
  • 1
  • 2
  • 0
  • 0
  • 0

Mahaveer

30 Aug 2013

Good Book

Very Nice Book

komal gupta

04 Sep 2013

about the book

excellent book

anjali jain

04 Sep 2013

best book

best book in reading and learning

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