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

Explain in detail about the abstract data type, Abstract data type The ...

Abstract data type The thing which makes an abstract data type abstract is that its carrier set and its operations are mathematical entities, like geometric objects or numbers;

The smallest element of an array''s index, The smallest element of an array...

The smallest element of an array's index is called its Lower bound.

C++, #What is the pointer

#What is the pointer

Adjacency matrix representation of a graph, An adjacency matrix representat...

An adjacency matrix representation of a graph cannot having information of : Parallel edges

Multiplication, Implement multiple stacks in a single dimensional array. Wr...

Implement multiple stacks in a single dimensional array. Write algorithms for various stack operations for them.

Graph & optimal scheduling, You are given an undirected graph G = (V, E) in...

You are given an undirected graph G = (V, E) in which the edge weights are highly restricted. In particular, each edge has a positive integer weight of either {1,2,...,W}, where W

Program, What is a first-in-first-out data structure ? Write algorithms to...

What is a first-in-first-out data structure ? Write algorithms to perform the following operations on it – create, insertion, deletion, for testing overflow and empty conditions.

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

Doubly linked lists-implementation, In any singly linked list, each of the ...

In any singly linked list, each of the elements contains a pointer to the next element. We have illustrated this before. In single linked list, traversing is probable only in one d

Deletion of an element from the linear array, Program will demonstrate dele...

Program will demonstrate deletion of an element from the linear array /* declaration of delete_list function */ voiddelete_list(list *, int); /* definition of delete_list

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages