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

Advanced data structures - splay trees, This is a unit of which targeted on...

This is a unit of which targeted on the emerging data structures. Red- Black trees, Splay trees, AA-trees & Treaps are introduced. The learner must explore the possibilities of app

Basic organization of computer system, what happen''s in my computer when ...

what happen''s in my computer when i input any passage

Recursive function , Q. Write down the recursive function to count the numb...

Q. Write down the recursive function to count the number of the nodes in the binary tree.    A n s . R ecursive Function to count no. of Nodes in Binary Tree is writt

Circular linklist, write an algorithm to insert an element at the beginning...

write an algorithm to insert an element at the beginning of a circular linked list?

Matrix stored in memory, Method to measure address of any element of a matr...

Method to measure address of any element of a matrix stored in memory. Let us consider 2 dimensional array a of size m*n further consider that the lower bound for the row index

Tower of hanoi, how do we use 4-discs stack to solve tower of hanoi problem...

how do we use 4-discs stack to solve tower of hanoi problem and write an algorithm to solve it?

Convertion, how we can convert a graph into tree

how we can convert a graph into tree

Circularly linked lists implementation, CIRCULARLY LINKED LISTS IMPLEMENTAT...

CIRCULARLY LINKED LISTS IMPLEMENTATION A linked list wherein the last element points to the first element is called as CIRCULAR linked list. The chains do not specified first o

Methods, what is folding method?

what is folding method?

Help with Assignment, Need help with Data Structures assignment requiring C...

Need help with Data Structures assignment requiring C++ program

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