Page 33 - B.E CSE Curriculum and Syllabus R2017 - REC
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Department of CSE, REC



            CS17301                      DESIGN AND ANALYSIS OF ALGORITHMS                        L T P C
                                                                                                   3 0  0 3
            OBJECTIVES:
               ●  To learn the basic ideas of algorithm and analysis techniques.
               ●  To understand the behaviour of various computer algorithms.
               ●  To become familiar with the different algorithm design techniques.
               ●  To learn to apply the design techniques in solving various kinds of problems.
               ●  To understand the limitations of Algorithm power.

            UNIT I          ANALYSIS OF ALGORITHMS                                                       9
            Introduction  -  Algorithm  Specification  -  Performance  Analysis:  Space  Complexity  -  Time  Complexity  -
            Asymptotic Notations - Practical Complexities - Solving Recurrence Relations.

            UNIT II         BRUTE FORCE AND DIVIDE-AND-CONQUER                                                 9
            Brute Force: Exhaustive Search - Travelling Salesman Problem - Knapsack Problem - Assignment problem -
            Divide and Conquer: General Method - Binary search - Finding Minimum and Maximum Problem - Merge
            sort - Quick sort - Strassen’s Matrix Multiplication.

            UNIT III        GREEDY TECHNIQUE AND DYNAMIC PROGRAMMING                                     9
            Greedy: General Method - Container Loading - Knapsack - Huffman Codes - Dynamic Programming: General
            Method - OBST - String Editing - 0/1 Knapsack - Travelling Salesman Problem.

            UNIT IV        BACKTRACKING AND BRANCH & BOUND                                               9
            Backtracking:  General  Method  -  8  Queen's  Problem  -  Sum  of  Subsets  Problem  -  Graph  Colouring  -
            Hamiltonian Circuit Problem - Branch and Bound: FIFO - LC branch and bound - 0/1 Knapsack - Travelling
            Salesman Problem - Assignment Problem.

            UNIT V        STRING MATCHING AND NP COMPLETE & NP HARD PROBLEMS                             9
            String Matching: Naive String  Matching - Rabin Karp - Knuth Morris Pratt   - NP Hard and NP Complete
            Problems:  Basic  Concepts  -  Non  Deterministic  Algorithms  -  Class  of  NP  Hard  and  NP  Complete  -
            Approximation for NP Hard Problems: Travelling Salesman problem.
                                                                                           TOTAL: 45 PERIODS

            OUTCOMES:
            On successful completion of this course, the student will be able to:
               ●  Prove the correctness and analyze the running time of   the basic algorithms for those classic problems
                   in various domains.
               ●  Analyze the time and space complexity of various algorithms.
               ●  Ability to compare algorithms with respect to complexities.
               ●  Apply design strategies and Synthesize algorithms for various computing problems.
               ●  Modify existing algorithms to improve efficiency.

            TEXT BOOKS:
               1.  Ellis  Horowitz,  Shani,  Sanguthevar  Rajasekaran,  Computer  Algorithms  /  C++  Universities  Press,
                   Second Edition 2008.
               2.  AnanyLevitin,  Introduction  to  the  Design  and  Analysis  of  Algorithms,  Third  Edition,  Pearson
                   Education, 2012.
            REFERENCES:
               1.  Thomas  H.Cormen,  Charles  E.Leiserson,  Ronald  L.  Rivest  and  Clifford  Stein,  Introduction  to
                   Algorithms, Third Edition, PHI Learning Private Limited, 2012.
               2.  Alfred V. Aho, John E. Hopcroft and Jeffrey D.  Ullman, Data Structures and  Algorithms, Pearson
                   Education, Reprint 2006.
               3.  Donald E. Knuth, The Art of Computer Programming, Volumes 1& 3 Pearson Education, 2009.


            Curriculum and Syllabus | B.E. Computer Science and Engineering | R2017                    Page 33
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