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数据结构与算法

  1. Data Structures
    • Stacks
    • Queues
    • Linked lists
    • The tree abstract data type and data structures for representing trees
    • Properties of binary trees
    • Binary search trees
    • AVL trees
    • Red-black trees
    • The priority queue abstract data type
    • The heap data structure
    • Hash tables
    • Data structure of graphs
    • The edge list
    • The adjacency list
    • The adjacency matrix
  2. Algorithms
    • Sorting
    • Merge-sort
    • Quick-sort
    • The Huffman coding algorithm
    • Solving the longest common subsequence problem using dynamic programming
    • Basic algorithms on trees
    • Pre-order traversal
    • Post-order traversal
    • Graph traversal
    • Depth-first search
    • Breadth-first search
    • Topological order and sorting of directed acyclic graphs
    • Shortest paths: Dijkstra’s algorithm
    • Minimum spanning trees
    • Kruskal’s algorithm
    • Prim’s algorithm
  3. Complexity Analysis
    • Asymptotic notations: the “big-Oh” notation
    • Asymptotic analysis using the big-Oh notation
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