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

Complexity of algorithm, The simplest implementation of the Dijkstra's algo...

The simplest implementation of the Dijkstra's algorithm stores vertices of set Q into an ordinary linked list or array, and operation Extract-Min(Q) is just a linear search through

Write a program to create a heap file, Write a program to create a heap fil...

Write a program to create a heap file that holds the records in the file " data_2013 " The source records are variablelength.However, the heap file should hold fixed-length reco

B-tree of degree 3, Q. Explain the result of inserting the keys given. ...

Q. Explain the result of inserting the keys given. F, S, Q, K, C, L, H, T, V, W, M, R, N, P, A, B, X, Y, D, Z, E  in an order to an empty B-tree of degree-3.

Sorted list using binary search technique, Write an algorithm for searching...

Write an algorithm for searching a key from a sorted list using binary search technique 1.   if (low > high) 2.     return (-1) 3.    mid = (low +high)/2; 4    .if ( X

Consistent heuristic function - graph search, Consistent Heuristic Function...

Consistent Heuristic Function - Graph Search Recall the notions of consistency and admissibility for an A* search heuristic. a. Consider a graph with four nodes S, A, B, C,

Asymptotic notation.., important points on asymptotic notation to remember

important points on asymptotic notation to remember

Dijkstra's algorithm, Q. Explain Dijkstra's algorithm for finding the short...

Q. Explain Dijkstra's algorithm for finding the shortest path in the graph given to us.  Ans: The Dijkstra's algorithm: This is a problem which is concerned with finding

Representation of a sparse matrix, Let us assume a sparse matrix from stora...

Let us assume a sparse matrix from storage view point. Assume that the entire sparse matrix is stored. Then, a significant amount of memory that stores the matrix consists of zeroe

Explain critical path and chain, 1.  Using the traditional method of CPM: ...

1.  Using the traditional method of CPM: a.  What activities are on the critical path? b.  What is the expected total lead time of the project? 2.  Using CCPM: a.  What

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