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

Enumerate about the data structure, Enumerate about the Data structure ...

Enumerate about the Data structure An arrangement of data in memory locations to signify values of the carrier set of an abstract data type. Realizing computational mechanis

Explain the term - branching, Explain the term - Branching There are t...

Explain the term - Branching There are two common ways of branching: case of ..... otherwise ...... endcase  if ..... then ..... else ..... endif   case of

How do you rotate a binary tree, How do you rotate a Binary Tree?  Rot...

How do you rotate a Binary Tree?  Rotations in the tree: If after inserting a node in a Binary search tree, the balancing factor (height of left subtree - height of right

BST has two children, If a node in a BST has two children, then its inorder...

If a node in a BST has two children, then its inorder predecessor has No right child

Representation of arrays?, A representation of an array structure is a mapp...

A representation of an array structure is a mapping of the (abstract) array with elements of type T onto the store which is an array with elements of type BYTE. The array could be

Algo for quicksort, Easy algorithm for beginner for quicksort with explanat...

Easy algorithm for beginner for quicksort with explanation

State phong shading, Phong Shading Phong shading too is based on interp...

Phong Shading Phong shading too is based on interpolation, but instead of interpolating the colour value, it is the normal vector, which is interpolated for each point and a co

What is a range - a structured type in ruby, Range: A Structured Type in Ru...

Range: A Structured Type in Ruby Ruby has a numerous structured types, comprising arrays, hashes, sets, classes, streams, and ranges. In this section we would only discuss rang

Algorithm for a function that takes in integer as argument, Write a detaile...

Write a detailed description of a function that takes in an integer as an argument, then prints out the squares of all positive integers whose squares are less than the input. (The

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