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NATIONAL INSTITUTE OF TECHNOLOGY, ARUNACHAL PRADESH, YUPIA, Pin-791112 (Established by MHRD, Govt. of India) Website : www.nitap.in, Fax No: (0360) 2284972 E-Mail: [email protected] / [email protected] Exercises Proposed for teaching in (Jan – May, 2016 Semester) 1. Name of the Teacher: Moumita Das 2. Department Computer Science & Engineering 3. Course Title Design & Analysis of Algorithm 4. Course code MAC 925 5. Course Hands out (in reference to framed & approved syllabus) Contents Hours Asymptotic notation: time and space complexity, Big-O notation, omega, theta Notation, finding time 2hrs complexity of algorithm: heap sort, quick sort, merge sort, searching etc. Algorithm design technique: Recursion definition, use, limitation, Example: Hanoi Problem, 3hrs tail recursion. Divide and Conquer: Basic methods, use, example: binary search, heap sort, merge sort. 4hrs Dynamic programming: Basic methods, use, example: matrix chain multiplication, all pair 4hrs shortest paths, single source shortest path, travelling salesman problem. Branch and Bound: basic methods, use example: 15 puzzle problem 3hrs Backtracking: basic methods, use, example: eight queens problem, graph coloring problem, 3hrs Hamiltonian problem Greedy method: knapsack problem, job sequencing with deadlock, prims and kruskal algorithm, BFS and DFS algorithm. Lower bound theory: bounds on sorting and sorting techniques using partial and total orders, set manipulation algorithm like UNION FIND, union by rank. Matrix manipulation algorithm: different types of algorithm and solution of simultaneous equation, DFT and FFT algorithm, inter multiplication scheme. Notation of NP completeness: non deterministic algorithm, COOK’s theorem, P class, NP hard class, NP complete class, CNF Satisfiability problem, Clique Decision Problem Approximation algorithms: Necessity of approximation scheme, performance guarantee, Polynomial time approximation schemes: 0/1 knapsack problem. Total Class: 6. Books/Literature to be followed: (a) Books (Min. 2 texts + 3 references) (i) Title Author Publisher Edition Introduction to Algorithm T. H. Corman, C. E. Leiserson, R. L. Rivest, C. Stein PHI 3rd Edition (ii) Title Author Design Methods and Analysis of Algorithms S. K. Basu 4hrs 4hrs 5hrs 4hrs 4hrs 40hrs NATIONAL INSTITUTE OF TECHNOLOGY, ARUNACHAL PRADESH, YUPIA, Pin-791112 (Established by MHRD, Govt. of India) Website : www.nitap.in, Fax No: (0360) 2284972 E-Mail: [email protected] / [email protected] Publisher Edition PHI Second Edition] (iii) Title Author Publisher Edition Fundamental of Computer Algorithms E. Horowitz, S. Sahani, S. Rajasekaran Universities Press 2nd Edition (iv) Title Author Publisher Edition Design and Analysis of Algorithms P. H. Dave, H. B. Dave Pearson 3rd Edition (v) Title Author Publisher Edition Graph Theory Narsingh Deo PHI 3rd Edition (b) Magazines/Journals: i) Slaves to the algorithm - Aeon Magazine ii) Algorithm Articles - Offshore Magazine iii) Journal of Algorithms, Elseviers, Netherland iv) Algorithms — Open Access Journal, MDPI, Basel, Switzerland v) TIT - IEEE Transactions on Information Theory, IEEE Computer Society, United State vi) SIAMCOMP,- Siam Journal on Computing 7. Mode of Teaching: S.N. Bose 8. If the course is of practices, list the experiments to be offered. (i). Divide and Conquer: Implement Binary Search using Divide and Conquer approach Implement Merge Sort using Divide and Conquer approach Implement Quick Sort using Divide and Conquer approach Find Maximum and Minimum element from a array of integer using Divide and Conquer approach (ii). Dynamic Programming: Find the minimum number of scalar multiplication needed for chain of matrix Implement all pair of Shortest path for a graph ( Floyed Warshall Algorithm ) Implement Travelling Salesman Problem Implement Single Source shortest Path for a graph ( Dijkstra , Bellman Ford) NATIONAL INSTITUTE OF TECHNOLOGY, ARUNACHAL PRADESH, YUPIA, Pin-791112 (Established by MHRD, Govt. of India) Website : www.nitap.in, Fax No: (0360) 2284972 E-Mail: [email protected] / [email protected] (iii). Brunch and Bound: Implement 15 Puzzle Problems (iv). Backtracking: Implement 8 Queen Problem Graph Coloring Problem Hamiltonian Problem (v). Greedy method: Knapsack Problem Job sequencing with deadlines Minimum Cost Spanning Tree by Prim's Algorithm Minimum Cost Spanning Tree by Kruskal's Algorithm (vi). Graph Traversal Algorithm: Implement Breadth First Search (BFS) Implement Depth First Search (DFS) Are the manuals ready for the experiments to be conducted? Remarks/ Endorsement by the HoD With his /her signature with date Yes Name of the Teacher: Moumita Das Designation: Guest Lecturer Signature with Date: