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

Multiple queue, algorithm for multiple queue with example program

algorithm for multiple queue with example program

Recursive and iterative handling of a binary search tree, This section pres...

This section prescribes additional exercise with the recursive and iterative handling of a binary search tree. Adding to the Binary Search Tree Recursively Add implementation

Explain about hubs, Hubs - In reality a multiport repeater - Connect...

Hubs - In reality a multiport repeater - Connects stations in a physical star topology - As well may create multiple levels of hierarchy to remove length limitation of 10

Division-remainder hashing, According to this, key value is divided by any ...

According to this, key value is divided by any fitting number, generally a prime number, and the division of remainder is utilized as the address for the record. The choice of s

Explain about the containers, Containers Introduction Simple abstr...

Containers Introduction Simple abstract data types are useful for manipulating simple sets of values, such as integers or real numbers however more complex abstract data t

Explain divide and conquer algorithms, Explain divide and conquer algorithm...

Explain divide and conquer algorithms  Divide  and  conquer  is  probably  the  best  known  general  algorithm  design  method.  It   work according to the following general p

Dqueue, algorithm of output restricted queue.

algorithm of output restricted queue.

Explain almost complete binary tree, Almost Complete Binary Tree :-A binary...

Almost Complete Binary Tree :-A binary tree of depth d is an almost whole binary tree if: 1.Any node and at level less than d-1 has two children. 2. for any node and in the tree wi

What is called the basic operation of an algorithm, What is called the basi...

What is called the basic operation of an algorithm? The most significant operation of the algorithm is the operation contributing the most to the total running time is known as

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