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

Define approximating smooth surfaces with polygon nets, Approximating smoot...

Approximating smooth surfaces with Polygon nets Networks of polygons are used to represent smooth surfaces. They are, of course, only an approximation to the true surface, but

Programs, Develop a program that accepts the car registration( hint: LEA 43...

Develop a program that accepts the car registration( hint: LEA 43242010)

Explain about the abstract data type, Explain about the Abstract data type ...

Explain about the Abstract data type Abstract data type (ADT) A set of values (the carrier set) and operations on those values

Array implementation of a queue, Since the stack is list of elements, the q...

Since the stack is list of elements, the queue is also a list of elements. The stack & the queue differ just in the position where the elements may be added or deleted. Similar to

Implement an open hash table, In a chained hash table, each table entry is ...

In a chained hash table, each table entry is a pointer to a collection of elements. It can be any collection that supports insert, remove, and find, but is commonly a linked list.

State the example of pre- and post-conditions, State the example of pre- an...

State the example of pre- and post-conditions Suppose that function f(x) should have a non-zero argument and return a positive value. We can document these pre- and post-condit

Explain in detail about the abstract data type, Abstract data type The ...

Abstract data type The thing which makes an abstract data type abstract is that its carrier set and its operations are mathematical entities, like geometric objects or numbers;

Algorithm for a function that takes in integer as argument, Write a detaile...

Write a detailed description of a function that takes in an integer as an argument, then prints out the squares of all positive integers whose squares are less than the input. (The

Define ordinary variable, Ordinary variable An ordinary variable of a e...

Ordinary variable An ordinary variable of a easy data type can store a one element only

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