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

Which sorting methods sorting a list which is almost sorted, Which sorting ...

Which sorting methods would be most suitable for sorting a list which is almost sorted  Bubble Sorting method.

Define min-heap, Define min-heap A min-heap is a complete binary tree i...

Define min-heap A min-heap is a complete binary tree in which each element is less than or equal to its children. All the principal properties of heaps remain valid for min-hea

State z-buffer algorithm, Z-Buffer Algorithm Also known as the Depth-Bu...

Z-Buffer Algorithm Also known as the Depth-Buffer algorithm, this image-space method simply selects for  display the polygon or portion of a polygon that is nearest to the view

#title.structured programming, what do you understand by structured program...

what do you understand by structured programming?explain with eg. top down and bottem up programming technique

Explain b tree (binary tree), B Tree Unlike a binary-tree, every node o...

B Tree Unlike a binary-tree, every node of a B-tree may have a variable number of keys and children. The keys are stored in non-decreasing order. Every key has an associated ch

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.

Explain th term input and output- pseudocode, Explain th term input and ou...

Explain th term input and output-  Pseudocode Input and output indicated by the use of terms input number, print total, output total, print "result is" x and so on.

Find the shortest paths from bellman-ford algorithm, a) Find the shortest p...

a) Find the shortest paths from r to all other nodes in the digraph G=(V,E) shown below using the Bellman-Ford algorithm (as taught in class). Please show your work, and draw the f

Array implementation of lists, In the array implementation of the lists, we...

In the array implementation of the lists, we will use the array to hold the entries and a separate counter to keep track of the number of positions are occupied. A structure will b

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