Grokking Algorithm Complexity and Big-O
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Graph Algorithms
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In this lesson, we will cover three fundamental graph algorithms:

  • Breadth-First Search (BFS)
  • Depth-First Search (DFS)
  • Dijkstra's Algorithm

Each algorithm will be explained with Java code and detailed complexity analysis.

1. Breadth-First Search (BFS)

BFS is a traversal algorithm that explores the graph level by level, starting from the source node and visiting all its neighbors before moving to the next level.

Time Complexity for BFS Code

  1. Initialization:

    • Queue Initialization: Initializing the queue is O(1).

  2. Traversal:

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