Binary tree and binarytree parts, Data Structure & Algorithms

Assignment Help:

Q. What do you understand by the term Binary Tree? What is the maximum number of nodes which are possible in a Binary Tree of depth d. Explain the terms given below with respect to the Binary trees
1)Strictly Binary Tree       
2) Complete Binary Tree
3) Almost Complete Binary Tree                                                               

Ans:

A binary tree is a tree in which no nodes can posses' more than two children.

Figure drawn below shows us that the binary tree consists of the root and two subtrees, Tl and Tr, both of which could possibly be empty.

1962_Binary Tree.png

 

The highest numbers of nodes a binary tree of depth d can have is 2 d+1-1.

(i)      Strictly Binary Tree:- If every non leaf node in binary tree has neither the left tree nor the right tree empty subtrees , then the tree is known as a strictly binary tree.

(ii)     Complete Binary Tree:- The complete binary tree of depth d is that strictly binary tree whose all the leaves are at level D.

(iii)     Almost  Complete  Binary  Tree:- The  binary tree  of  depth  d  is  an  almost complete binary tree if and only if:
1.Any node end at level less than d-1 has two children.
2. for any node nd in the tree with

(iv)    a right descendant at the level d, nd should have a left child and every descendant of the nd is either a leaf at level d or has two children.


Related Discussions:- Binary tree and binarytree parts

Algorithm, algorithm to search a node in linked list

algorithm to search a node in linked list

Properties of red- black tree, Any Binary search tree has to contain follow...

Any Binary search tree has to contain following properties to be called as a red- black tree. 1. Each node of a tree must be either red or black. 2. The root node is always b

Algorithsm, What are the properties of an algorithsm?

What are the properties of an algorithsm?

Structural Induction, Let a be a well-formed formula. Let c be the number o...

Let a be a well-formed formula. Let c be the number of binary logical operators in a. (Recall that ?, ?, ?, and ? are the binary logical operators). Let s be the number of proposit

The theta-notation, This notation bounds a function to in constant factors....

This notation bounds a function to in constant factors. We say f(n) = Θ(g(n)) if there presents positive constants n 0 , c 1 and c 2 such that to the right of n 0 the value of f

Determine the space complexity of euclid algorithm, 1)      Why space compl...

1)      Why space complexity is comparatively more critical than time complexity? 2)      Determine the space complexity of Euclid Algorithm?

Determine in brief the painter algorithm, Determine in brief the Painter A...

Determine in brief the Painter Algorithm a) The farthest polygon, namely the rectangle PQRS, is stored first. (b) The next farthest, the quadrilateral ABCD, is superpo

Explain space complexity, Explain Space Complexity Space Complexity :...

Explain Space Complexity Space Complexity :- The space complexity of an algorithm is the amount of memory it requires to run to completion. Some of the reasons to study space

If a node having two children is deleted from a binary tree, If a node havi...

If a node having two children is deleted from a binary tree, it is replaced by?? Inorder successor

STACK, 5. Implement a stack (write pseudo-code for STACK-EMPTY, PUSH, and P...

5. Implement a stack (write pseudo-code for STACK-EMPTY, PUSH, and POP) using a singly linked list L. The operations PUSH and POP should still take O(1) 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