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

Algorithm for stack using array, write an algorithm for stack using array p...

write an algorithm for stack using array performing the operations as insertion ,deletion , display,isempty,isfull.

Determine in brief about the boolean, Determine in brief about the Boolean ...

Determine in brief about the Boolean Carrier set of the Boolean ADT is the set {true, false}. Operations on these values are negation, conjunction, disjunction, conditional,

Explain graph traversal, Graph Traversal In many problems we wish to in...

Graph Traversal In many problems we wish to investigate all the vertices in a graph in some systematic order. In graph we often do not have any single vertex singled out as spe

Compound interest, Write the algorithm for compound interest

Write the algorithm for compound interest

Number of leaf nodes in a complete binary tree, The number of leaf nodes in...

The number of leaf nodes in a complete binary tree of depth d is    2 d

Stack and queue, write a algorithsm in c to perform push and pop operation...

write a algorithsm in c to perform push and pop operations stastic implementation using array ?

Program insertion of a node into any circular linked list, Program Insertio...

Program Insertion of a node into any Circular Linked List Figure depicts a Circular linked list from which an element was deleted. ALGORITHM (Deletion of an element from a

Define dynamic programming, Define Dynamic Programming  Dynamic  progra...

Define Dynamic Programming  Dynamic  programming  is  a  method  for  solving  problems  with  overlapping  problems.  Typically, these sub problems arise from a recurrence rel

Compare and contrast various sorting techniques, Q. Compare and contrast va...

Q. Compare and contrast various sorting techniques or methods with respect to the memory space and the computing time.

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