Analysis and Design of Algorithms PDF VSSUT – ADA PDF VSSUT of Total Complete Notes
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Analysis and Design of Algorithms Notes VSSUT – ADA Notes VSSUT
Module – 1
Algorithms and Complexity
orders, worst-case and average-case, amortized complexity
Basic Techniques, divide & conquer, dynamic programming,
greedy method, backtracking, Asymptotic notation
Aggregate analysis, Potential method, Master theorem
Substitution method, Algorithm and design technique
Matrix chain multiplication, Longest common sub-sequences (LCS)
Optimal binary search tree, Greedy algorithm
Huffman codes
Link: Module – 1
Module – 2
Branch and bound
randomization, Data Structures: heaps, search trees
union-find problems, Applications: sorting & searching, combinatorial
problems, Branch and bound, Randomization, Data Structure
Optimal substructure of a shortest path, Dijkstra’s algorithm
Use data to form a heap, remove highest priority item from heap (largest),
reform heap with remaining data
Link: Module – 2
Module – 3
Optimization problems
computational geometric problems, string matching
Graph Algorithms BFS and DFS, connected components
Line Segment Properties, Determining whether two line segments intersect
Graham’s scan, String Matching, Knuth-Morris-Pratt Algorithm
Graph Algorithms – BFS and DFS: Breadth-first search (BFS):
Determining whether consecutive segments turn left or right
Link: Module – 3
Module – 4
Spanning trees
shortest paths, MAX-flow, NP- completeness, Approximation algorithms
Spanning tree: Maximum flow, The Ford – Fulkerson method
Ford-Fulkerson Algorithm: Cuts of flow network:
NP-complete (polynomial time algorithm):
Polynomial time reduction algorithm: Polynomial time reduction algorithm:
Approximation algorithms, Vertex cover problem.
String – matching automata, Rabin – Karp Algorithm
Link: Module – 4
Text Book:
1. Introduction to Algorithms, 2/e ,T.H.Cormen,C.E.Leiserson, R.L.Rivest and C.Stein,
PHI Pvt. Ltd. / Pearson Education
Reference Books:
1. Algorithm Design: Foundations, Analysis and Internet examples,
M.T.Goodrich and R.Tomassia, John Wiley and sons.
2. Fundamentals of Computer Algorithms, Ellis Horowitz,
Satraj Sahni and Rajasekharam, Galgotia Publications Pvt. Ltd.
