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 segment for quick sort, Illustrates the program segment for Quick s...

Illustrates the program segment for Quick sort. It uses recursion. Program 1: Quick Sort Quicksort(A,m,n) int A[ ],m,n { int i, j, k; if m { i=m; j=n+1; k

Two - way merge sort, Merge sort is also one of the 'divide & conquer' clas...

Merge sort is also one of the 'divide & conquer' classes of algorithms. The fundamental idea in it is to split the list in a number of sublists, sort each of these sublists & merge

Discuss the brute force algorithm, Question 1 What do you mean by Amortiza...

Question 1 What do you mean by Amortization? Question 2 Explain the following Big Oh notation (O) Omega notation (Ω) Theta notation (Θ)   Question 3 Di

What are the things require to implement abstract data types, What are the ...

What are the things require to implement ADT Abstract data types are very useful for helping us understand the mathematical objects which we use in our computations but, of cou

Algorithm for determining strongly connected components, Algorithm for dete...

Algorithm for determining strongly connected components of a Graph: Strongly Connected Components (G) where d[u] = discovery time of the vertex u throughout DFS , f[u] = f

Merge sort, Merge sort is a sorting algorithm which uses the basic idea of ...

Merge sort is a sorting algorithm which uses the basic idea of divide and conquers. This algorithm initially divides the array into two halves, sorts them separately and then merge

Define rule-based expert system, 1. Define the following terms in a rule-ba...

1. Define the following terms in a rule-based expert system? a) Knowledge base b) Inference engine 2. What is a fuzzy rule? Explain the difference between classical and fuzzy

Array implementation of a circular queue, A circular queue can be implement...

A circular queue can be implemented through arrays or linked lists. Program 6 gives the array implementation of any circular queue. Program 6: Array implementation of any Circu

Shortest path algorithms, A driver takes shortest possible route to attain ...

A driver takes shortest possible route to attain destination. The problem which we will discuss here is similar to this type of finding shortest route in any specific graph. The gr

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