Deletion of a node from a binary search tree, Data Structure & Algorithms

Assignment Help:

The algorithm to delete any node having key from a binary search tree is not simple where as several cases has to be considered.

  • If the node to be deleted contains no sons, then it might be deleted without further adjustment to the tree.
  • If the node to be deleted contains only one subtree, then its only son may be moved up to take its space.
  • The node p to be deleted contain two subtrees, then its inorder successor s have to take its place. The inorder successor could not contain left subtree. Hence, right son of s can be moved up to gain the place of s.

Example: Assume the following cases wherein node 5 have to be deleted.

1. The node to be deleted has no children.

2390_Deletion of a node from a Binary Search Tree.png

3. The node to be deleted contains two children. This case is complicated. The order of the binary tree has to be kept intact.


Related Discussions:- Deletion of a node from a binary search tree

Hashing and collisions during hashing, Q. What do you understand by the te...

Q. What do you understand by the term Hashing?  How do the collisions occur during hashing?  Explain the different techniques or methods for resolving the collision.

Determine the greatest common divisor, Determine the greatest common diviso...

Determine the greatest common divisor (GCD) of two integers, m & n. The algorithm for GCD might be defined as follows: While m is greater than zero: If n is greater than m, s

Applications of avl trees, AVL trees are applied into the given situations:...

AVL trees are applied into the given situations: There are few insertion & deletion operations Short search time is required Input data is sorted or nearly sorted

Define container in terms of object-oriented terms, Define container in te...

Define container in terms of  object-oriented terms A Container is a broad category whose instances are all more specific things; there is never anything which is just a Contai

Linear array, representation of linear array

representation of linear array

Rules for abstract data type-tree, null(nil) = true                     // ...

null(nil) = true                     // nil refer for empty tree null(fork(e, T, T'))= false   //  e : element , T and T are two sub tree leaf(fork(e, nil, nil)) = true leaf(

Explain the array and linked list implementation of stack, Question 1. ...

Question 1. How can you find out the end of a String? Write an algorithm to find out the substring of a string. 2. Explain the insertion and deletion operation of linked lis

#input restricted DEQUE, #why all the 4 operations i.e. insertion n del...

#why all the 4 operations i.e. insertion n deletion from rear end and front end is valid in input restricted DEQUE

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd