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

Infix to postfix, [(a+b)/(c+d)^(e+f)]+(g+h)/i

[(a+b)/(c+d)^(e+f)]+(g+h)/i

Explain division method, Explain Division Method Division Method: - In...

Explain Division Method Division Method: - In this method, key K to be mapped into single of the m states in the hash table is divided by m and the remainder of this division

Random searching, write a program that find,search&replace a text string

write a program that find,search&replace a text string

Tree traversal, Q. What do you understand by the tree traversal? Write down...

Q. What do you understand by the tree traversal? Write down the procedure for traversing a binary tree in preorder and execute it on the following tree. Ans: Th

Brute force, Determine the number of character comparisons made by the brut...

Determine the number of character comparisons made by the brute-force algorithm in searching for the pattern GANDHI in the text

Cache simulator, how to design a cache simulator with 4-way set associative...

how to design a cache simulator with 4-way set associative cache

Limitation of binary search, Limitation of Binary Search: - (i) The co...

Limitation of Binary Search: - (i) The complexity of Binary search is O (log2 n). The complexity is similar irrespective of the position of the element, even if it is not pres

Determine in brief the painter algorithm, Determine in brief the Painter A...

Determine in brief the Painter Algorithm a) The farthest polygon, namely the rectangle PQRS, is stored first. (b) The next farthest, the quadrilateral ABCD, is superpo

Creation of a circular linked list, Program: Creation of a Circular linked ...

Program: Creation of a Circular linked list ALGORITHM (Insertion of an element into a Circular Linked List) Step 1 Begin Step 2 if the list is empty or new

Determine about the push operation, Determine about the push operation ...

Determine about the push operation A Container may or may not be accessible by keys, so it can't make assumptions about element retrieval methods (for example, it cannot have a

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages