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Breadth-First Binary Tree Traversal Algorithm

Learn the Breadth-First Traversal Algorithm for Binary Trees. Put the root node on a queue, visit nodes, and enqueue child nodes. Understand the time and space complexity of this algorithm.

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Breadth-First Binary Tree Traversal Algorithm

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  1. Breadth-First Binary Tree Traversal Algorithm Alyce Brady CS 470: Data Structures CS 510: Computer Algorithms

  2. Reminder:Breadth-First Traversal A B C D E F G A B C D E F G

  3. breadth-first-traversal put root node onto a queue while the queue is not empty dequeue the next node visit the node e.g., print value enqueue the left child node enqueue the right child node Pseudo-Code forBreadth-First Traversal

  4. Breadth-First Search Queue: A B C Current: D E F G A B C D E F G

  5. Breadth-First Search Queue: A A B C Current: D E F G

  6. Breadth-First Search Queue: A A B C Current: D E F G A

  7. Breadth-First Search Queue: A B C Current: D E F G A A

  8. Breadth-First Search Queue: B A B C Current: D E F G A A

  9. Breadth-First Search Queue: C B A B C Current: D E F G A A

  10. Breadth-First Search Queue: C B A B C Current: D E F G B A

  11. Breadth-First Search Queue: C A B C Current: D E F G B A B

  12. Breadth-First Search Queue: D C A B C Current: D E F G B A B

  13. Breadth-First Search Queue: E D C A B C Current: D E F G B A B

  14. Breadth-First Search Queue: E D C A B C Current: D E F G C A B

  15. Breadth-First Search Queue: E D A B C Current: D E F G C A B C

  16. Breadth-First Search Queue: F E D A B C Current: D E F G C A B C

  17. Breadth-First Search Queue: G F E D A B C D E F G Current: C A B C

  18. Breadth-First Search Queue: G F E D A B C D E F G Current: D A B C

  19. Breadth-First Search Queue: G F E A B C D E F G Current: D A B C D

  20. Breadth-First Search Queue: G F E A B C D E F G Current: E A B C D

  21. Breadth-First Search Queue: G F A B C D E F G Current: E A B C D E

  22. Breadth-First Search Queue: G F A B C D E F G Current: F A B C D E

  23. Breadth-First Search Queue: G A B C D E F G Current: F A B C D E F

  24. Breadth-First Search Queue: G A B C D E F G Current: G A B C D E F

  25. Breadth-First Search Queue: A B C D E F G Current: G A B C D E F G

  26. Breadth-First Search A B C D E F G A B C D E F G

  27. Time Complexity Consider each node twice O(n) when put on queue when taken from queue Time and Space Complexityfor Breadth-First Search Alg.

  28. Space Complexity Queue to handle unexplored nodes Queue length = width of lowest level (n/2) O(n) Time and Space Complexityfor Breadth-First Search Alg.

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