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Class No.20  Data Structures http://ecomputernotes.com
AVL Tree ,[object Object],[object Object],[object Object],[object Object],http://ecomputernotes.com
AVL Tree ,[object Object],5 8 2 4 3 1 7 height 0 1 2 3 http://ecomputernotes.com
AVL Tree ,[object Object],6 8 1 4 3 1 5 height 0 1 2 3 http://ecomputernotes.com
Balanced Binary Tree ,[object Object],[object Object],[object Object],http://ecomputernotes.com
Balanced Binary Tree -1 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 http://ecomputernotes.com
Balanced Binary Tree Insertions and effect on balance -1 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 U 1 U 2 U 3 U 4 U 5 U 6 U 7 U 8 U 9 U 10 U 11 U 12 B B B B B B http://ecomputernotes.com
Balanced Binary Tree ,[object Object],[object Object],[object Object],http://ecomputernotes.com
Balanced Binary Tree Insertions and effect on balance -1 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 U 1 U 2 U 3 U 4 U 5 U 6 U 7 U 8 U 9 U 10 U 11 U 12 B B B B B B http://ecomputernotes.com
Balanced Binary Tree Consider the case of node that was previously 1 -1 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 U 1 U 2 U 3 U 4 U 5 U 6 U 7 U 8 U 9 U 10 U 11 U 12 B B B B B B http://ecomputernotes.com
Inserting New Node in AVL Tree 1 0 A B T 1 T 3 T 2 1 http://ecomputernotes.com
Inserting New Node in AVL Tree 2 1 A B T 1 T 3 T 2 new 1 2 http://ecomputernotes.com
Inserting New Node in AVL Tree 2 1 A B T 1 T 3 T 2 new 1 2 0 0 A B T 1 T 3 T 2 new Inorder: T 1  B T 2  A T 3 Inorder: T 1  B T 2  A T 3 http://ecomputernotes.com
AVL Tree Building Example ,[object Object],[object Object],http://ecomputernotes.com
AVL Tree Building Example Insert(1) 1 http://ecomputernotes.com
AVL Tree Building Example Insert(2) 1 2 http://ecomputernotes.com
AVL Tree Building Example Insert(3) single left rotation 1 2 3 -2 http://ecomputernotes.com
AVL Tree Building Example Insert(3) single left rotation 1 2 3 -2 http://ecomputernotes.com
AVL Tree Building Example Insert(3) 1 2 3 http://ecomputernotes.com

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computer notes - Data Structures - 20

  • 1. Class No.20 Data Structures http://ecomputernotes.com
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  • 10. Balanced Binary Tree Consider the case of node that was previously 1 -1 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 U 1 U 2 U 3 U 4 U 5 U 6 U 7 U 8 U 9 U 10 U 11 U 12 B B B B B B http://ecomputernotes.com
  • 11. Inserting New Node in AVL Tree 1 0 A B T 1 T 3 T 2 1 http://ecomputernotes.com
  • 12. Inserting New Node in AVL Tree 2 1 A B T 1 T 3 T 2 new 1 2 http://ecomputernotes.com
  • 13. Inserting New Node in AVL Tree 2 1 A B T 1 T 3 T 2 new 1 2 0 0 A B T 1 T 3 T 2 new Inorder: T 1 B T 2 A T 3 Inorder: T 1 B T 2 A T 3 http://ecomputernotes.com
  • 14.
  • 15. AVL Tree Building Example Insert(1) 1 http://ecomputernotes.com
  • 16. AVL Tree Building Example Insert(2) 1 2 http://ecomputernotes.com
  • 17. AVL Tree Building Example Insert(3) single left rotation 1 2 3 -2 http://ecomputernotes.com
  • 18. AVL Tree Building Example Insert(3) single left rotation 1 2 3 -2 http://ecomputernotes.com
  • 19. AVL Tree Building Example Insert(3) 1 2 3 http://ecomputernotes.com

Editor's Notes

  1. Start of 20 (Nov 29)
  2. End of 19
  3. End of lecture 20