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

What is binary space partition, Binary Space Partition A binary space-p...

Binary Space Partition A binary space-partitioning (BSP) tree is an efficient method for determining object visibility by painting surfaces onto the screen from back to front,

Creation of a linked list, Program: Creation of a linked list In the ne...

Program: Creation of a linked list In the next example, wewill look to the process of addition of new nodes to the list with the function create_list(). #include #includ

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

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

Notes, Ask question #Minimum 10000 words accepted#

Ask question #Minimum 10000 words accepted#

Present the algorithm of binary search. , B i n a ry Search Alg...

B i n a ry Search Algorithm is given as follows 1. if (low > high) 2.     return (-1) 3. mid = (low +high)/2; 4. if ( X = = a [mid]) 5.      return (mid); 6.

Create a function to show data structure, Given a number that is represente...

Given a number that is represented in your data structure, you will need a function that prints it out in base 215 in such a way that its contents can be checked for correctness. Y

Applications of avl trees, AVL trees are applied into the given situations:...

AVL trees are applied into the given situations: There are few insertion & deletion operations Short search time is required Input data is sorted or nearly sorted

Data structure arrays, In this unit, we learned the data structure arrays f...

In this unit, we learned the data structure arrays from the application point of view and representation point of view. Two applications that are representation of a sparse matrix

Data structure queue, In this unit, we described about the data structure Q...

In this unit, we described about the data structure Queue. It had two ends. One is front from where the elements can be removed and the other is rear where the elements can be inse

Illustrate hls colour model, HLS Colour Model  This model has the doub...

HLS Colour Model  This model has the double-cone representation shown in Figure 3.40. The three colour parameters in this model are called hue (H), lightness (L), and Saturati

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