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

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

Program on radix sort., Write a program that uses the radix sort to sort 10...

Write a program that uses the radix sort to sort 1000 random digits. Print the data before and after the sort. Each sort bucket should be a linked list. At the end of the sort, the

Direct file organisation, It offers an effective way to organize data while...

It offers an effective way to organize data while there is a requirement to access individual records directly. To access a record directly (or random access) a relationship is

Adjacency matrix of an undirected graph, 1) What will call a graph that hav...

1) What will call a graph that have no cycle? 2) Adjacency matrix of an undirected graph is------------- on main diagonal. 3) Represent the following graphs by adjacency matr

Define binary tree, Define Binary Tree  A binary tree T is explained as...

Define Binary Tree  A binary tree T is explained as a finite set of nodes that is either empty or having of root and two disjoint binary trees TL, and TR known as, respectively

Type of qualitative method, Type of Qualitative Method: Different  qua...

Type of Qualitative Method: Different  qualitative methods are suitable for different  types of study. Quite often we can  combine  qualitative and quantitative  methods. Many

Link list, algorithm for multiplication of two sparse matrices using link l...

algorithm for multiplication of two sparse matrices using link list

Four applications or implementation of the stack, Q. Write down any four ap...

Q. Write down any four applications or implementation of the stack.                                     Ans. (i)       The Conversion of infix to postfix form (ii)

Encryption the plain-text using the round keys, Encryption the plain-text u...

Encryption the plain-text using the round keys: 1. (Key schedule) Implement an algorithm that will take a 128 bit key and generate the round keys for the AES encryption/decryp

How to measure the algorithm efficiency, How to measure the algorithm's eff...

How to measure the algorithm's efficiency? It is logical to examine the algorithm's efficiency as a function of some parameter n showing the algorithm's input size. Instance

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