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Design & Analysis of Algorithm

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    This ultimate unique application is for all students of Design & Analysis of Algorithms across the world. It covers 144 topics of Design & Analysis of Algorithms in detail. These 144 topics are divided in 5 units.

    Each topic is around 600 words and is complete with diagrams, equations and other forms of graphical representations along with simple text explaining the concept in detail.

    The USP of this application is "ultra-portability". Students can access the content on-the-go from any where they like.

    Basically, each topic is like a detailed flash card and will make the lives of students simpler and easier.

    Some of topics Covered in this application are:

    1. Introduction to Algorithms
    2. Efficiency of algorithm
    3. Analysis of insertion sort
    4. Insertion sort
    5. The divide-and-conquer approach
    6. Analyzing divide-and-conquer algorithms
    7. Asymptotic notation
    8. Asymptotic notation in equations and inequalities
    9. Standard notations and common functions
    10. The hiring problem
    11. Indicator random variables
    12. Balls and bins
    13. Probabilistic analysis and further uses of indicator random variables
    14. Streaks
    15. The on-line hiring problem
    16. Overview of Recurrences
    17. The substitution method for recurrences
    18. The recursion-tree method
    19. The master method
    20. Proof of the master theorem
    21. The proof for exact powers
    22. Floors and ceilings
    23. Randomized algorithms
    24. Heaps
    25. Maintaining the heap property
    26. Building a heap
    27. The heapsort algorithm
    28. Priority queues
    29. Description of quicksort
    30. Performance of quicksort
    31. A randomized version of quicksort
    32. Analysis of quicksort
    33. Lower bounds for sorting
    34. Counting sort
    35. Radix sort
    36. Minimum and maximum
    37. Selection in expected linear time
    38. Bucket sort
    39. Selection in worst-case linear time
    40. Stacks and queues
    41. Linked lists
    42. Implementing pointers and objects
    43. Representing rooted trees
    44. Direct-address tables
    45. Hash tables
    46. Hash functions
    47. Open addressing
    48. Perfect hashing
    49. introduction to binary search tree
    50. Querying a binary search tree
    51. Insertion and deletion
    52. Randomly built binary search trees
    53. Red-Black Trees
    54. Rotations of red black tree
    55. Insertion in red black tree
    56. Deletion in red black tree
    57. Dynamic order statistics
    58. Augmenting a Data Structure
    59. Interval Trees
    60. Overview of Dynamic Programming
    61. Assembly-line scheduling
    62. Matrix-chain multiplication
    63. Elements of dynamic programming
    64. Longest common subsequence
    65. Optimal binary search trees
    66. Greedy Algorithms
    67. Elements of the greedy strategy
    68. Huffman codes
    69. Theoretical foundations for greedy methods
    70. A task-scheduling problem
    71. Aggregate analysis
    72. The accounting method
    73. The potential method
    74. Dynamic tables
    75. B-Trees
    76. Definition of B-trees
    77. Basic operations on B-trees
    78. Deleting a key from a B-tree
    79. Binomial Heaps
    80. Operations on binomial heaps
    81. Fibonacci Heaps
    82. Mergeable-heap operations
    83. Decreasing a key and deleting a node
    84. Bounding the maximum degree
    85. Data Structures for Disjoint Sets
    86. Linked-list representation of disjoint sets
    87. Disjoint-set forests
    88. Analysis of union by rank with path compression
    89. Representations of graphs
    90. Breadth-first search
    91. Depth-first search
    92. Topological sort
    93. Strongly connected components
    94. Minimum Spanning Trees
    95. Growing a minimum spanning tree
    96. The algorithms of Kruskal and Prim
    97. Single-Source Shortest Paths
    98. The Bellman-Ford algorithm
    99. Single-source shortest paths in directed acyclic graphs
    100. Dijkstra's algorithm
    101. Difference constraints and shortest paths
    102. Shortest paths and matrix multiplication
    103. The Floyd-Warshall algorithm
    104. Johnson's algorithm for sparse graphs
    105. Flow networks
    106. The Ford-Fulkerson method
    107. Maximum bipartite matching
    108. Push-relabel algorithms
    109. The relabel-to-front algorithm
    110. Comparison networks