Binary search trees, Data Structure & Algorithms

Assignment Help:

A Binary Search Tree is binary tree which is either empty or a node having a key value, left child & right child.

By analyzing the above definition, we notice that BST comes into two variants namely empty BST & non-empty BST.

The empty BST contain no added structure, whereas the non-empty BST contain three components.

The non-empty BST satisfies the given conditions:

a) The key within the left child of node (if exists) is less than the key in its parent node.

b) The key within the right child of a node (if exists) is greater than the key in its parent node.

c) The left & right sub trees of the root are binary search trees again.

The given are some operations which can be performed on Binary search trees:

  • formation of an empty tree
  • Traversing the BST
  • Counting internal nodes (non-leaf nodes)
  • Counting external nodes (leaf nodes)
  • Counting total number of nodes
  • Determining the height of tree
  • Insertion of a new node
  • Searching for an element
  • Determination smallest element
  • determination largest element
  • Deletion of a node.

 


Related Discussions:- Binary search trees

BST has two children, If a node in a BST has two children, then its inorder...

If a node in a BST has two children, then its inorder predecessor has No right child

Quick sort, This is the most extensively used internal sorting algorithm. I...

This is the most extensively used internal sorting algorithm. In its fundamental form, it was invented by C.A.R. Hoare in the year of 1960. Its popularity lies in the easiness of i

Disadvantages of the lifo costing method, The disadvantages or limitations ...

The disadvantages or limitations of the last in first out costing method are: The election of last in first out for income tax purposes is binding for all subsequent yea

What is assertions, What is Assertions Introduction At every point...

What is Assertions Introduction At every point in a program, there are generally constraints on the computational state that should hold for program to be correct. For ins

How will you represent a max-heap sequentially, How will you represent a ma...

How will you represent a max-heap sequentially? Max heap, also known as the descending heap, of size n is an almost complete binary tree of n nodes such that the content of eve

Algorithm for insertion into the circular queue, Algorithm for insertion of...

Algorithm for insertion of any element into the circular queue: Step-1: If "rear" of the queue is pointing at the last position then go to step-2 or else Step-3 Step-2: make

Algorithm to delete the specific node from binary searchtree, Q. Write down...

Q. Write down an algorithm to delete the specific node from binary search tree. Trace the algorithm to delete a node (10) from the following given tree. Ans. Algor

Mapping constain, one to many one to one many to many many to one

one to many one to one many to many many to one

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

Single pointer pointing to the tail of the queue, Can a Queue be shown by c...

Can a Queue be shown by circular linked list with only single pointer pointing to the tail of the queue? Yes a Queue can be shown by a circular linked list with only single p

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