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

Program for binary search, Illustrates the program for Binary Search. P...

Illustrates the program for Binary Search. Program: Binary Search /*Header Files*/ #include #include /*Functions*/ void binary_search(int array[ ], int value,

Explain time complexity, Time Complexity, Big O notation The amount of ...

Time Complexity, Big O notation The amount of time needed by an algorithm to run to its completion is referred as time complexity. The asymptotic running time of an algorithm i

Binary search trees, A Binary Search Tree is binary tree which is either em...

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 int

Sparse matrix, How sparse matrix stored in the memory of a computer?

How sparse matrix stored in the memory of a computer?

Basic concept of the primitive data structures, Q. Explain the basic concep...

Q. Explain the basic concept of the primitive data structures.                                             Ans. The concept of P r i m i t i ve Data

Heights of 500 students `Algorithms`, Write an algorithm, using a flowchart...

Write an algorithm, using a flowchart, which inputs the heights of all 500 students and outputs the height of the tallest person and the shortest p erson in the school.

Write an algorithm to input number of passengers travelling, There are ten ...

There are ten stations on a railway line: Train travels in both directions (i.e. from 1 to 10 and then from 10 to 1).  Fare between each station is $2. A passenger input

Explain merge sort, Merge sort: Merge sort is a sorting algorithm that ...

Merge sort: Merge sort is a sorting algorithm that uses the idea of split and conquers. This algorithm splits the array into two halves, sorts them separately and then merges t

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