Programs essentially perform operations on data. Algorithms define the rules of these operations and data structures are the different patterns available for representing data within a program. ![[DALLE3_DataStructures-Algorithms.png]] ## Concept Tree ### Basics 1. **Introduction to Data Structures**: - Arrays - Linked Lists - Stacks - Queues 2. **Basic Trees and Graphs**: - Binary Trees - Directed and Undirected Graphs 3. **When to Use Each Data Structure**: Practical scenarios for each data structure. 4. **Introduction to Algorithms**: - Basic Searching: Linear, Binary - Basic Sorting: Bubble Sort, Selection Sort ### More Advanced 1. **Intermediate Algorithms**: - Searching: Depth-First, Breadth-First - Sorting: Merge Sort, Quick Sort - Recursion - Dynamic Programming: Memoization, Tabulation 2. **Time and Space Complexity Analysis**: - Big O Notation - Best, Average, Worst Case Analysis 3. **Common Data Structure Operations**: Insertion, deletion, traversal. ### Mastery 1. **Advanced Data Structures**: - B-trees - Heaps: Min-Heap, Max-Heap - Disjoint Set Union - Hash Tables and Hashing 2. **Advanced Algorithms**: - Graph Algorithms: Dijkstra's, Floyd-Warshall, Minimum Spanning Trees - String Matching: KMP, Rabin-Karp - Network Flow Algorithms 3. **Problem-Solving and Real-world Applications**: - Competitive Programming Challenges - Industry Application Cases