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

Array-based representation of a binary tree, Assume a complete binary tree ...

Assume a complete binary tree T with n nodes where each node has an item (value). Label the nodes of the complete binary tree T from top to bottom & from left to right 0, 1, ..., n

Types of tree ?, Binary: Each node has one, zero, or two children. This ...

Binary: Each node has one, zero, or two children. This assertion creates many tree operations efficient and simple. Binary Search : A binary tree where each and every left

Hashing and hash functions, Q. Describe the term hashing. Explain any two u...

Q. Describe the term hashing. Explain any two usually used hash functions. Explain one method of collision resolution.

C, padovan string

padovan string

Recursion, i need help in java recursion assignment.

i need help in java recursion assignment.

The time and space complexities of an algorihm, Relation between the time a...

Relation between the time and space complexities of an algorithm The examining of algorithm focuses on time complexity and space complexity. As compared to time analysis, the a

Explain the method of overlapping and intersecting, Overlapping or Interse...

Overlapping or Intersecting A polygon overlaps or intersects the current background if any of its sides cuts the edges of the viewport as depicted at the top right corner of th

Inorder traversal, Inorder traversal: The left sub tree is visited, then t...

Inorder traversal: The left sub tree is visited, then the node and then right sub-tree. Algorithm for inorder traversal is following: traverse left sub-tree visit node

Enumerate about the concept of container, Enumerate about the concept of co...

Enumerate about the concept of container A Container can have a size() operation. We can also ask (somewhat redundantly) whether a Container is empty. And even though a Contain

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