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    ← DSA Roadmap
    πŸ•ΈοΈ
    Topic #6

    Graphs

    Graph representations, traversals, shortest paths, and topological sorting.

    Time

    BFS/DFS: O(V+E), Dijkstra: O((V+E) log V)

    Space

    O(V+E)

    Problems

    4 must-do

    Key Patterns

    BFS
    DFS
    Topological Sort
    Union-Find
    Dijkstra's Algorithm
    Cycle Detection

    πŸ“‹ Must-Do Problems

    #ProblemDifficultyAsked At
    1Number of Islands
    Medium
    Amazon
    Google
    Microsoft
    2Clone Graph
    Medium
    Google
    Meta
    Amazon
    3Course Schedule (Topological Sort)
    Medium
    Google
    Amazon
    Microsoft
    4Word Ladder
    Hard
    Google
    Amazon
    Meta

    πŸ’‘ Key Concepts

    1.

    Adjacency list is preferred over matrix for sparse graphs

    2.

    BFS finds shortest path in unweighted graphs

    3.

    DFS is used for cycle detection, connected components, topological sort

    4.

    Union-Find is efficient for connectivity queries and MST

    Continue Practicing

    DSA Roadmap DSA Interview Q&A Practice Games