Aa-trees, Data Structure & Algorithms

Assignment Help:

Red-Black trees have introduced a new property in the binary search tree that means an extra property of color (red, black). However, as these trees grow, in their operations such as insertion, deletion, it becomes complexes to retain all the properties, especially in case of deletion. Therefore, a new type of binary search tree can be defined which has no property of having a color, however has a new property introduced depend on the color that is the information for the new. This information of the level of any node is stored into a small integer (might be 8 bits). Now, AA-trees are described in terms of level of each node rather than storing a color bit with each node. A red-black tree utilized to have several conditions to be satisfied regarding its color and AA-trees have also been designed in such a way that it msut satisfy certain conditions regarding its new property, i.e., level.

The level of a node will be as:

1. Same as its parent, if the node is red.

2. One if the node is a leaf.

3. Level will be one less than the level of its parent, if the color of node is black.

Any red-black tree can be changed into an AA-tree by translating its color structure to levels such that left child is always one level lower than its parent & right child is always similar or at one level lower than its parent. While the right child is at same level to its parent, then a horizontal link is established among them. Thus, we conclude that it is essential that horizontal links are always at the right side and that there might not be two consecutive links. Taking into concern of all the above properties, we illustrates AA-tree as follows

After having a look at the AA-tree above, now we look at different operations which can be performed at such trees.


Related Discussions:- Aa-trees

Write an algorithm outputs number of books using psuedocode, A shop sells b...

A shop sells books, maps and magazines. Every item is identified by a unique 4 - digit code. All books have a code starting with a 1, all maps have a code which starts with a 2 and

What is a container taxonomy, What is A Container Taxonomy It's useful ...

What is A Container Taxonomy It's useful to place containers in a taxonomy to help understand their relationships to one another and as a basis for implementation using a class

Data Structure, Ask consider the file name cars.text each line in the file ...

Ask consider the file name cars.text each line in the file contains information about a car ( year,company,manufacture,model name,type) 1-read the file 2-add each car which is repr

Explain the halting problem, Explain the halting problem Given a comput...

Explain the halting problem Given a computer program and an input to it, verify whether the program will halt on that input or continue working indefinitely on it.

Algorithm of binary search, Step 1: Declare array 'k' of size 'n' i.e. k(n)...

Step 1: Declare array 'k' of size 'n' i.e. k(n) is an array which stores all the keys of a file containing 'n' records Step 2: i←0 Step 3: low←0, high←n-1 Step 4: while (l

Representing sparse matrix in memory using array, Q. What do you understand...

Q. What do you understand by the term sparse matrix? How sparse matrix is stored in the memory of a computer? Write down the function to find out the transpose of a sparse matrix u

Applications of binary trees, In computer programming, Trees are utilized ...

In computer programming, Trees are utilized enormously. These can be utilized for developing database search times (binary search trees, AVL trees, 2-3 trees, red-black trees), Gam

Algorithm, Define what an algorithm is and outline the characteristics of a...

Define what an algorithm is and outline the characteristics of a good algorithm.

Array implementation of a circular queue, A circular queue can be implement...

A circular queue can be implemented through arrays or linked lists. Program 6 gives the array implementation of any circular queue. Program 6: Array implementation of any Circu

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