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

Sorting algorithm for singly linked lists, Q. Which sorting algorithm can b...

Q. Which sorting algorithm can be easily adaptable for singly linked lists? Explain your answer as well.        Ans: The simple Insertion sort is sim

The data structure required to evaluate a postfix expression, The data stru...

The data structure needed to evaluate a postfix expression is  Stack

Define the carrier set of the symbol abstract data type, Define the Carrier...

Define the Carrier set of the Symbol ADT Carrier set of the Symbol ADT is the set of all finite sequences of characters over Unicode characters set (Unicode is a standard char

Drawback of sequential file, Following are some of the drawback of sequenti...

Following are some of the drawback of sequential file organisation: Updates are not simply accommodated. By definition, random access is impossible. All records should be

In-order traversal, Write steps for algorithm for In-order Traversal Th...

Write steps for algorithm for In-order Traversal This process when implemented iteratively also needs a stack and a Boolean to prevent the execution from traversing any portion

Find strongly connected components - dfs, A striking application of DFS is ...

A striking application of DFS is determine a strongly connected component of a graph. Definition: For graph G = (V, E) , where V refer to the set of vertices and E refer to the

Data Warehousing, Assume you are in the insurance business. Find two exampl...

Assume you are in the insurance business. Find two examples of Type 2 slowly changing dimensions in that business. As an analyst on the project, write the specifications for applyi

Determine in brief about the boolean, Determine in brief about the Boolean ...

Determine in brief about the Boolean Carrier set of the Boolean ADT is the set {true, false}. Operations on these values are negation, conjunction, disjunction, conditional,

Column major representation, Column Major Representation In memory th...

Column Major Representation In memory the second method of representing two-dimensional array is the column major representation. Under this illustration, the first column of

A linear list of elements in which deletion can be done, A linear list of e...

A linear list of elements in which deletion can be done from one end (front) and insertion can take place only at the other end (rear) is called as a   Queue.

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