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Day 45: Graph Traversal - Breadth-First Search

After reading this chapter and engaging in the embedded activities and reflections, you should be able to:

  • Explain the graph traversal problem and why it differs from tree traversal
  • Describe the breadth-first search strategy and its level-by-level exploration pattern
  • Implement BFS using a queue and visited set to handle cycles
  • Trace BFS execution on sample graphs showing queue and visited set states
  • Recognize the connection between BFS and level-order tree traversal
  • Analyze the time complexity O(V + E) and space complexity O(V) of BFS
  • Identify applications of BFS including shortest paths and connected components
  • Explain why BFS finds shortest paths in unweighted graphs