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Data Structures and Algorithms
Contents
  1. Introduction to Algorithms
    • Problem solution
    • Data models
    • Data models in programming languages
    • Data structures
    • Algorithms analysis
  2. Linked lists
    • Singly linked lists
    • Doubly linked lists
    • Circular linked lists
    • Table transform
  3. Stack and Queue
    • Stack
    • Queue
    • Priority queue
  4. Recursion
    • Introduction to recursion
    • Recursion analysis
    • Tail recursion
    • Recursion and stack
    • Course-of-values recursion
    • Potential recursion
    • Transfinite recursion
    • Simultaneous recursion
    • Back tracking
    • Conclusion
  5. Binary search trees
    • Introduction to binary trees
    • Expected node depth
    • Analyzing height
    • Post mortem
    • Heap
  6. Sorting
    • Basic sort algorithms
      • Insertion sort
      • Selection sort
      • Bubble sort
    • Effectively sorting algorithms
      • Shell sorting
      • Heap sort
      • Quicksort
      • Merge sort
  7. Graphs
    • Graph representation
    • Graph analysis
    • Minimum spanning trees
      • Boruvska’s algorithms
      • Kruskal’s algorithms
      • Jarnik-Prim’s algorithms
    • Shortest paths
      • Properties of shortest paths
      • Dijkstra’s algorithms
      • Breadth-first search
      • Bellman-Ford algorithms
      • Johnson’s algorithms
    • Union-find problem
    • Connectivity
      • Non-direction connectivity
      • Direction connectivity
    • Topological sort
  8. Hashing
    • Introduction to hashing algorithms
    • Hash list
    • Hash table
    • Hash tree
    • Choosing hash function
    • Universal hashing
    • Perfect hashing

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