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

C++ function, Write c++ function to traverse the threaded binary tree in in...

Write c++ function to traverse the threaded binary tree in inorder traversal

Depth first search, DEPTH FIRST SEARCH (DFS) The approach adopted into ...

DEPTH FIRST SEARCH (DFS) The approach adopted into depth first search is to search deeper whenever possible. This algorithm frequently searches deeper through visiting unvisite

Shortest path algorithms, A driver takes shortest possible route to attain ...

A driver takes shortest possible route to attain destination. The problem which we will discuss here is similar to this type of finding shortest route in any specific graph. The gr

SORTING ALGORIthm, the deference between insertion,selection and bubble sor...

the deference between insertion,selection and bubble sort

Process of decision making under uncertainty, (a) Describe the steps involv...

(a) Describe the steps involved in the process of decision making under uncertainty. (b) Explain the following principles of decision making: (i) Laplace, (ii) Hurwicz. (c

Explain circular queues, Circular Queues:- A more efficient queue repre...

Circular Queues:- A more efficient queue representation is get by regarding the array Q(1:n) as circular. It becomes more convenient to declare the array as Q(O: n-1), when  re

Stack, infix to revrse polish

infix to revrse polish

Insertion of a node into an avl tree, Initially Nodes are inserted in an AV...

Initially Nodes are inserted in an AVL tree in the same manner as an ordinary binary search tree. Though, the insertion algorithm for any AVL tree travels back along with the pa

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