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