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

Total impedent of the circuit, an electrical student designed a circuit in...

an electrical student designed a circuit in which the impedence in one part of a series circuit is 2+j8 ohms and the impedent is another part of the circuit is 4-j60 ohm mm program

Explain in detail about the ruby arrays, Explain in detail about the Ruby a...

Explain in detail about the Ruby arrays Ruby arrays have many interesting and powerful methods. Besides indexing operations which go well beyond those discussed above, arrays h

Determine the greatest common divisor, Determine the greatest common diviso...

Determine the greatest common divisor (GCD) of two integers, m & n. The algorithm for GCD might be defined as follows: While m is greater than zero: If n is greater than m, s

Two sparce matrices multipilcation algorithm, Write an algorithm for multi...

Write an algorithm for multiplication of two sparse matrices using Linked Lists.

Maximum degree of any vertex in a simple graph, The maximum degree of any v...

The maximum degree of any vertex in a simple graph with n vertices is (n-1) is the maximum degree of the vertex in a simple graph.

Complexity of an algorithm, Q. Explain the complexity of an algorithm?  Wha...

Q. Explain the complexity of an algorithm?  What are the worst case analysis and best case analysis explain with an example.

The two famous methods for traversing, The two famous methods for traversin...

The two famous methods for traversing are:- a) Depth first traversal b) Breadth first

Convertion, how we can convert a graph into tree

how we can convert a graph into tree

Array implementation of a dequeue, If a Dequeue is implemented via arrays, ...

If a Dequeue is implemented via arrays, then this will suffer with the similar problems which a linear queue had suffered. Program 8 gives the array implementation of Dequeue.

Representation of a polynomial with a singly linked list, List areutilized ...

List areutilized to maintainPOLYNOMIALS in the memory. For example, we have a functionf(x)= 7x 5 + 9x 4   - 6x³ + 3x². Figure depicts the representation of a Polynomial by means o

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