Abstract data type-tree, Data Structure & Algorithms

Assignment Help:

Definition: A set of data values & related operations that are accurately specified independent of any particular implementation.

As the data values and operations are described with mathematical precision, instead of as an implementation in a computer language, we might reason about effects of the operations, relationship to other abstract data types, whether a programming language implements the particular data type, etc.

Regard the given abstract data type:

Structure data tree

type Tree = nil | fork (Element , Tree , Tree)

Operations:

null : Tree -> Boolean leaf : Tree -> Boolean

fork : (Element , Tree , Tree) -> Tree

left : Tree -> Tree                 // It illustrated the properties of tree that left of a tree is also a tree.

right: Tree -> Tree contents: Tree -> Element height (nil) = 0 |

height (fork(e,T,T')) = 1+max(height(T), height(T'))

weight (nil) = 0 |

weight (fork(e,T,T')) = 1+weight(T)+weight(T')

2310_ABSTRACT DATA TYPE-TREE.png                       

 Figure: A binary tree


Related Discussions:- Abstract data type-tree

Objectives of lists, After going through this unit, you will be able to: ...

After going through this unit, you will be able to: • define and declare Lists; • understand the terminology of Singly linked lists; • understand the terminology of Doubly

General, whats the definition of ADT and data type?

whats the definition of ADT and data type?

C++, #What is the pointer

#What is the pointer

Process of accessing data stored in a serial access memory, The process of ...

The process of accessing data stored in a serial access memory is same to manipulating data on a By using stack  method.

Convert a binary tree into its mirror image by traversing it, One can chang...

One can change a binary tree into its mirror image by traversing it in Postorder is the only proecess whcih can convert binary tree into its mirror image.

Linked list, How to creat ATM project by using double linked list?

How to creat ATM project by using double linked list?

Define about the inheritance hierarchy, Define about the inheritance hierar...

Define about the inheritance hierarchy Languages Eiffel and D provide constructs in language for invariants and pre- and post conditions which are compiled into the code and ar

Tic Tac Toe game , Book to refer: Introduction to Algorithms, 3rd Ed, by Cl...

Book to refer: Introduction to Algorithms, 3rd Ed, by Clifford Stein, Thomas H. Cormen, Ronald Rivest, Charles E. Leiserson Question: Tic Tac Toe game -Design a GUI and implement

Algorithm to merge the lists together, Q. Let X = (X1, X2, X3,....Xn) and Y...

Q. Let X = (X1, X2, X3,....Xn) and Y= (Y1, Y2, Y3,....Xm) be the two linked lists respectively. Write down an algorithm to merge the lists together to get the linked list Z such th

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