Computer notes - Deletion in AVL Tree

Class No.22 Data Structures http://ecomputernotes.com

Deletion in AVL Tree ,[object Object],[object Object],[object Object],http://ecomputernotes.com

Deletion in AVL Tree ,[object Object],Action : change the balance of the parent node and stop. No further effect on balance of any higher node. http://ecomputernotes.com Delete on this side

Deletion in AVL Tree ,[object Object],0 1 2 http://ecomputernotes.com 1 2 3 4 5 6 7

Deletion in AVL Tree ,[object Object],0 1 2 remove(1) http://ecomputernotes.com 1 2 3 4 5 6 7 2 3 4 5 6 7

Deletion in AVL Tree ,[object Object],Action : (same as 1a ) change the balance of the parent node and stop. No further effect on balance of any higher node. http://ecomputernotes.com Delete on this side

Deletion in AVL Tree ,[object Object],Action : change the balance of the parent node. May have caused imbalance in higher nodes so continue up the tree. Delete on this side http://ecomputernotes.com

Deletion in AVL Tree ,[object Object],Action : same as 2a: change the balance of the parent node. May have caused imbalance in higher nodes so continue up the tree. Delete on this side http://ecomputernotes.com

Deletion in AVL Tree ,[object Object],http://ecomputernotes.com

Deletion in AVL Tree ,[object Object],Action : perform single rotation, adjust balance. No effect on balance of higher nodes so stop here. Single rotate http://ecomputernotes.com

Deletion in AVL Tree ,[object Object],Action : Double rotation at B. May have effected the balance of higher nodes, so continue up the tree. rotate double

Deletion in AVL Tree ,[object Object],Action : Single rotation at B. May have effected the balance of higher nodes, so continue up the tree. rotate single

Other Uses of Binary Trees Expression Trees http://ecomputernotes.com

Expression Trees ,[object Object],[object Object],http://ecomputernotes.com

Expression Tree ,[object Object],http://ecomputernotes.com a c + b g * + + d * * e f

Parse Tree in Compiler ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],<assign> <id> <expr> <expr> <term> <term> <term> <factor> C B * + <id> <id> A := A <id> <factor> <factor> A := A + B * C

Parse Tree for an SQL query ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],http://ecomputernotes.com

SQL Parse Tree http://ecomputernotes.com < Query > SELECT <SelList> FROM <FromList> WHERE <Condition> <Attribute> <RelName> , <FromList> AND title StarsIn <RelName> <Condition> <Condition> <Attribute> = <Attribute> <Attribute> LIKE <Pattern> starName name birthdate ‘%1960’ MovieStar

Compiler Optimization ,[object Object],http://ecomputernotes.com f e + d g * + + d * * e f

Compiler Optimization ,[object Object],Graph! http://ecomputernotes.com f e + d g * + *

Computer notes - Deletion in AVL Tree

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