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

Merge sorting, ESO207: Programming Assignment 1 Due on 6 Sept, 2015. To be ...

ESO207: Programming Assignment 1 Due on 6 Sept, 2015. To be submitted online. Problem In this assignment you are required to implement k-way Merge Sort algorithm. In this version p

Singly linked list , The two pointers per number of a doubly linked list pr...

The two pointers per number of a doubly linked list prepare programming quite easy. Singly linked lists as like the lean sisters of doubly linked lists. We need SItem to consider t

Functions for inserting and deleting at either of the end, Q. Develop a rep...

Q. Develop a representation for a list where insertions and deletions can be done at either end. Such a structure is known as a Deque (Double ended queue). Write functions for inse

Merge sort, Merge sort is a sorting algorithm which uses the basic idea of ...

Merge sort is a sorting algorithm which uses the basic idea of divide and conquers. This algorithm initially divides the array into two halves, sorts them separately and then merge

Java, Ask consider the file name cars.text each line in the file contains i...

Ask consider the file name cars.text each line in the file contains information about a car ( year,company,manufacture,model name,type) 1-read the file 2-add each car which is repr

Creation of Heap, Q. Create a heap with the given list of keys: ...

Q. Create a heap with the given list of keys: 8, 20, 9, 4, 15, 10, 7, 22, 3, 12                                                  Ans: Creation

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

algorithm for multiplication of two sparse matrices using link list

Array implementation of lists, In the array implementation of the lists, we...

In the array implementation of the lists, we will use the array to hold the entries and a separate counter to keep track of the number of positions are occupied. A structure will b

Whether the infix expression has balanced parenthesis or not, Using stacks,...

Using stacks, write an algorithm to determine whether the infix expression has balanced parenthesis or not Algorithm parseparens This algorithm reads a source program and

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