Rules for abstract data type-tree, Data Structure & Algorithms

Assignment Help:

null(nil) = true                     // nil refer for empty tree

null(fork(e, T, T'))= false   //  e : element , T and T are two sub tree leaf(fork(e, nil, nil)) = true

leaf(fork(e, T, T')) = false if not null(T) or not null(T')

leaf(nil) = error

left(fork(e, T, T')) = T

left(nil) = error

right(fork(e, T, T')) = T' right(nil) = error

 

Contents (fork (e, T, T')) = e contents (nil) = error

Consider the definition of Tree (ADT). A way to think of a binary tree is that this is either empty (nil) or have an element and two sub trees that are themselves binary trees. Fork operation joins two sub trees along a parent node and generates another Binary tree. It might be noted that a tree containing a single leaf is described to be of height 1.

Definition: A tree is connected, acyclic graph

1913_Rules for Abstract data type-tree.png


Related Discussions:- Rules for abstract data type-tree

Data type, Q. Define the terms data type and abstract data type. Comment up...

Q. Define the terms data type and abstract data type. Comment upon the significance of both these.   Ans: We determine the total amount of memory to reserve by determining

2 Flow Charts, 1.Create a flowchart to show the process that will allow the...

1.Create a flowchart to show the process that will allow the implementation of Stack, Push, and Pop operations. 2.Create a flowchart to show the process that will allow the impleme

Define abstract data type & column major ordering for arrays, Q1. Define th...

Q1. Define the following terms: (i) Abstract data type. (ii) Column major ordering for arrays. (iii)  Row major ordering for arrays. Q2. Explain the following: (i) A

Explain the scan-line algorithm, Explain the Scan-Line Algorithm This i...

Explain the Scan-Line Algorithm This image-space method for removing hidden surfaces is an extension of the scan-line algorithm for filling polygon interiors. Instead of fillin

Define the internal path length, Define the Internal Path Length The In...

Define the Internal Path Length The Internal Path Length I of an extended binary tree is explained as the sum of the lengths of the paths taken over all internal nodes- from th

Explain decision tree, Decision Tree A decision tree is a diagram that ...

Decision Tree A decision tree is a diagram that shows conditions and actions sequentially and therefore shows which condition is to be considered first, second and so on. It is

Array implementation of a multiqueue, Program gives the program segment by ...

Program gives the program segment by using arrays for the insertion of an element to a queue into the multiqueue. Program: Program segment for the insertion of any element to t

Explain the linked list implementation of stack, Question 1 Explain the fo...

Question 1 Explain the following? Arrays Stack Trees Question 2 Explain the Linked list implementation of stack Question 3 What is a binary tree? Expla

Draw the process flow diagram, Draw the process flow diagram: Anand   ...

Draw the process flow diagram: Anand   Dairy (AD) sources 150,000 litres of milk daily from large number of local villagers .The milk is collected from 4:00 AM to 6:00 am and

Program segment for insertion of an element into the queue, Program: Progra...

Program: Program segment for insertion of an element into the queue add(int value) { struct queue *new; new = (struct queue*)malloc(sizeof(queue)); new->value = val

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