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Complete Notes

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Complete Notes

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#### Link : Chapter 5 Notes

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Note :- These notes are according to the R09 Syllabus book of JNTU. In R13 and R15, 8-units of R09 syllabus are combined into 5-units in R13 and R15 syllabus. If you have any doubts please refer to the JNTU Syllabus Book.

UNIT I

• Introduction: Algorithm,Psuedo code for expressing algorithms,Omega notation, Theta notation and Little oh notation,Probabilistic analysis, Performance Analysis-Space complexity, Time complexity, Asymptotic Notation- Big oh notation, Amortized analysis.

UNIT II

• Disjoint Sets- disjoint set operations, union and find algorithms, spanning trees, connected components and biconnected components.

UNIT III

• Divide and conquer: General method , applications-Binary search, Quick sort, Merge sort, Strassen’s matrix multiplication.

UNIT IV

• Greedy method: General method, applications-Minimum cost spanning trees,Job sequencing with dead lines, 0/1 knapsack problem, Single source shortest path problem.

### Design and Analysis of Algorithms Notes Pdf – DAA Pdf notes

UNIT V

• Dynamic Programming: General method, Optimal binary search trees, 0/1 knapsack problem, All-pairs shortest path problem,applications-Matrix chain multiplication, Travelling salesperson problem, Reliability design.

UNIT VI

• Backtracking: General method, sum of subsets problem, graph coloring, applications-n-queen problem Hamiltonian cycles.

UNIT VII

• Branch and Bound: General method, applications -Branch and Bound solution, Travelling sales person problem,0/1 knapsack problem- LC FIFO Branch and Bound solution.

UNIT VIII

• NP-Hard and NP-Complete problems: Basic concepts,NP – Hard and NP Complete classes, non deterministic algorithms, Cook’s theorem.

Reference:

1. Introduction to Algorithms, secondedition,T.H.Cormen,C.E.Leiserson, R.L.Rivest,and C.Stein,PHI Pvt. Ltd./ Pearson Education
2. Introduction to Design and Analysis of Algorithms A strategic approach, R.C.T.Lee, S.S.Tseng, R.C.Chang and T.Tsai, Mc Graw Hill.
3. Data structures and Algorithm Analysis in C++, Allen Weiss, Second edition, Pearson education.
4. Design and Analysis of algorithms, Aho, Ullman and Hopcroft,Pearson education.
5. Algorithms – Richard Johnson baugh and Marcus Schaefer, Pearson Education

Text books:

1. Fundamentals of Computer Algorithms, Ellis Horowitz,Satraj Sahni and Rajasekharam,Galgotia publications pvt. Ltd.
2. Algorithm Design: Foundations, Analysis and Internet examples, M.T.Goodrich and R.Tomassia,John wiley and sons.