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

Linear array, representation of linear array

representation of linear array

Multikey file organization, what are the applications of multikey file orga...

what are the applications of multikey file organization?

Division-remainder hashing, According to this, key value is divided by any ...

According to this, key value is divided by any fitting number, generally a prime number, and the division of remainder is utilized as the address for the record. The choice of s

Write procedure to the insert a node into the linked list, Q. Write a proce...

Q. Write a procedure to the insert a node into the linked list at a particular position and draw the same by taking an example?

Array-based representation of a binary tree, Assume a complete binary tree ...

Assume a complete binary tree T with n nodes where each node has an item (value). Label the nodes of the complete binary tree T from top to bottom & from left to right 0, 1, ..., n

Explain the arrays in ruby, Explain the Arrays in Ruby Ruby arrays are ...

Explain the Arrays in Ruby Ruby arrays are dynamic arrays which expand automatically whenever a value is stored in a location beyond current end of the array. To the programmer

Draw a b-tree., Q. Draw a B-tree of order 3 for the sequence of keys writte...

Q. Draw a B-tree of order 3 for the sequence of keys written below: 2, 4, 9, 8, 7, 6, 3, 1, 5, 10

Explain the term totalling, Explain the term totalling To add up a ser...

Explain the term totalling To add up a series numbers the subsequent type of statement must be used: Total = total + number  This literally means (new) total = (old) t

Enumerate the types in ruby, Enumerate the Types in Ruby Ruby is a pure...

Enumerate the Types in Ruby Ruby is a pure object-oriented language, meaning that all types in Ruby are classes, and each value in a Ruby program is an instance of a class. Thi

#, if two relations R and S are joined, then the non matching tuples of bot...

if two relations R and S are joined, then the non matching tuples of both R and S are ignored in

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