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

Frequency count, what is frequency count with examble

what is frequency count with examble

Compound interest, Write the algorithm for compound interest

Write the algorithm for compound interest

What is string, What is String Carrier set of the String ADT is the s...

What is String Carrier set of the String ADT is the set of all finite sequences of characters from some alphabet, including empty sequence (the empty string). Operations on s

B-tree of minimum degree t can maximum pointers in a node, A B-tree of mini...

A B-tree of minimum degree t can maximum pointers in a node T pointers in a node.

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

Tree Traversal, If preorder traversal and post order traversal is given the...

If preorder traversal and post order traversal is given then how to calculate the pre order traversal. Please illustrate step by step process

Differentiate between nonpersistent and 1-persistent, Differentiate between...

Differentiate between Nonpersistent and 1-persistent Nonpersistent: If the medium is idle, transmit; if the medium is busy, wait an amount of time drawn from a probability dist

Number of leaf nodes in a complete binary tree, The number of leaf nodes in...

The number of leaf nodes in a complete binary tree of depth d is    2 d

Data manipulation, perform the following length operation LENGTH("welcome t...

perform the following length operation LENGTH("welcome to ICA")=

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