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

Maximum numbers of nodes a binary tree of depth d, Maximum numbers of nodes...

Maximum numbers of nodes a binary tree of depth d The maximum numbers of nodes a binary tree of depth d can have is 2 d+1 -1.

What is a binary search tree (bst), What is a Binary Search Tree (BST)? ...

What is a Binary Search Tree (BST)? A binary search tree B is a binary tree every node of which satisfies the three conditions: 1.  The value of the left-subtree of 'x' is le

Illustrate trivariate colour models, Illustrate Trivariate Colour Models ...

Illustrate Trivariate Colour Models Conventional colour models based on the tristimulus theory all contain three variables and so are called trivariate models. Let us now consi

Array implementation of lists, In the array implementation of the lists, we...

In the array implementation of the lists, we will use the array to hold the entries and a separate counter to keep track of the number of positions are occupied. A structure will b

Infix expression to postfix form using the stack function, Q. Convert the f...

Q. Convert the following given Infix expression to Postfix form using the stack function: x + y * z + ( p * q + r ) * s , Follow general precedence rule and suppose tha

Binary tree and binarytree parts, Q. What do you understand by the term Bin...

Q. What do you understand by the term Binary Tree? What is the maximum number of nodes which are possible in a Binary Tree of depth d. Explain the terms given below with respect to

Complexity of an algorithm, compare two functions n and 2n for various valu...

compare two functions n and 2n for various values of n. determine when second becomes larger than first

frequenty count of function, Ask question find frequency count of function...

Ask question find frequency count of function- {for(i=1;i {for(j=1;j {for(k=1;k } } }

Write a program for linear search, In the book the following methods are pr...

In the book the following methods are presented: static void selectionSort(Comparable[] list) static void insertionSort(Comparable[] list) static boolean linearSearch(Comparable

Abstract data types, Abstract Data Types :- A useful tool for specifying th...

Abstract Data Types :- A useful tool for specifying the logical properties of a data type is the abstract data type or ADT. The term "abstract data type" refers to the basic mathem

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