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Computer notes - AVL Tree

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AVL (Adelson-Velskii and Landis) tree. An AVL tree is identical to a BST except height of the left and right subtrees can differ by at most 1.height of an empty tree is defined to be (–1).

FormationBusinessTechnologie
1  sur  19
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],height 0 1 2 3 http://ecomputernotes.com 5 8 2 4 3 1 7
AVL Tree ,[object Object],height 0 1 2 3 http://ecomputernotes.com 6 8 1 4 3 1 5
Balanced Binary Tree ,[object Object],[object Object],[object Object],http://ecomputernotes.com
Balanced Binary Tree http://ecomputernotes.com -1 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0
Balanced Binary Tree ,[object Object],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 -1 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0
Balanced Binary Tree ,[object Object],[object Object],[object Object],http://ecomputernotes.com
Balanced Binary Tree ,[object Object],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 -1 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0
Balanced Binary Tree ,[object Object],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 -1 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0
Inserting New Node in AVL Tree A B T 3 1 http://ecomputernotes.com 1 0 T 1 T 2
Inserting New Node in AVL Tree A B T 3 new 1 2 http://ecomputernotes.com 2 1 T 1 T 2
Inserting New Node in AVL Tree A B T 3 new 1 2 A B T 3 new Inorder: T 1 B T 2 A T 3 Inorder: T 1 B T 2 A T 3 http://ecomputernotes.com 2 1 T 1 T 2 0 0 T 1 T 2
AVL Tree Building Example ,[object Object],[object Object],http://ecomputernotes.com
AVL Tree Building Example ,[object Object],http://ecomputernotes.com 1
AVL Tree Building Example ,[object Object],http://ecomputernotes.com 1 2
AVL Tree Building Example ,[object Object],-2 http://ecomputernotes.com 1 2 3
AVL Tree Building Example ,[object Object],-2 http://ecomputernotes.com 1 2 3
AVL Tree Building Example ,[object Object],http://ecomputernotes.com 1 2 3

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Computer notes - AVL Tree

  • 1. Class No.20 Data Structures http://ecomputernotes.com
  • 2.
  • 3.
  • 4.
  • 5.
  • 6. Balanced Binary Tree http://ecomputernotes.com -1 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0
  • 7.
  • 8.
  • 9.
  • 10.
  • 11. Inserting New Node in AVL Tree A B T 3 1 http://ecomputernotes.com 1 0 T 1 T 2
  • 12. Inserting New Node in AVL Tree A B T 3 new 1 2 http://ecomputernotes.com 2 1 T 1 T 2
  • 13. Inserting New Node in AVL Tree A B T 3 new 1 2 A B T 3 new Inorder: T 1 B T 2 A T 3 Inorder: T 1 B T 2 A T 3 http://ecomputernotes.com 2 1 T 1 T 2 0 0 T 1 T 2
  • 14.
  • 15.
  • 16.
  • 17.
  • 18.
  • 19.

Notes de l'éditeur

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