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

Trees, Have you ever thought about the handling of our files in operating s...

Have you ever thought about the handling of our files in operating system? Why do we contain a hierarchical file system? How do files saved & deleted under hierarchical directories

Data Structure, Ask consider the file name cars.text each line in the file ...

Ask consider the file name cars.text each line in the file contains information about a car ( year,company,manufacture,model name,type) 1-read the file 2-add each car which is repr

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

Cohen sutherland algorithm, Using the cohen sutherland. Algorithm. Find the...

Using the cohen sutherland. Algorithm. Find the visible portion of the line P(40,80) Q(120,30) inside the window is defined as ABCD A(20,20),B(60,20),C(60,40)and D(20,40)

Flowcharts, draw a flowchart which prints all the even numbers between 1-50...

draw a flowchart which prints all the even numbers between 1-50

Program for linear search, Program for Linear Search. Program: Linear S...

Program for Linear Search. Program: Linear Search /*Program for Linear Search*/ /*Header Files*/ #include #include /*Global Variables*/ int search; int

B-tree of minimum degree t can maximum pointers in a node, A B-tree of mini...

A B-tree of minimum degree t can maximum pointers in a node T pointers in a node.

Data structure arrays, In this unit, we learned the data structure arrays f...

In this unit, we learned the data structure arrays from the application point of view and representation point of view. Two applications that are representation of a sparse matrix

Deletion of an element from the linked list, A LGORITHM (Deletion of an ele...

A LGORITHM (Deletion of an element from the linked list) Step 1  Begin Step 2  if the list is empty, then element cannot be deleted Step 3  else, if the element to be del

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