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

Find the optimal solution - branch and bound algorithm, Consider the follow...

Consider the following 5-city traveling salesman problem. The distance between each city (in miles) is shown in the following table: (a) Formulate an IP whose solution will

Complexity of algorithm, The simplest implementation of the Dijkstra's algo...

The simplest implementation of the Dijkstra's algorithm stores vertices of set Q into an ordinary linked list or array, and operation Extract-Min(Q) is just a linear search through

LINKED LIST, HOW LINKED LIST HEADER WORKS? HOW TO INSERT AND DELETE ELEMENT...

HOW LINKED LIST HEADER WORKS? HOW TO INSERT AND DELETE ELEMENTS IN LINKED LIST?

Graphs with negative edge costs, We have discussed that the above Dijkstra'...

We have discussed that the above Dijkstra's single source shortest-path algorithm works for graphs along with non-negative edges (like road networks). Given two scenarios can emerg

Algorithm, what algorithms can i use for the above title in my project desi...

what algorithms can i use for the above title in my project desing and implmentation of road transport booking system

What do you understand by structured programming, What do you understand by...

What do you understand by structured programming Structured Programming  This term is used for programming design that emphasizes:- (1) Hierarchical design of programmi

BINARY SEARCH, GIVE TRACE OF BINARY SEARCH ALGORITHM BY USING A SUITABLE EX...

GIVE TRACE OF BINARY SEARCH ALGORITHM BY USING A SUITABLE EXAMPLE.

B-tree of degree 3, Q. Explain the result of inserting the keys given. ...

Q. Explain the result of inserting the keys given. F, S, Q, K, C, L, H, T, V, W, M, R, N, P, A, B, X, Y, D, Z, E  in an order to an empty B-tree of degree-3.

Sort wars - sorting algorithm, If quicksort is so quick, why bother with an...

If quicksort is so quick, why bother with anything else? If bubble sort is so bad, why even mention it? For that matter, why are there so many sorting algorithms? Your mission (sho

Define tractable and intractable problems, Define tractable and intractable...

Define tractable and intractable problems Problems that can be solved in polynomial time are known as tractable problems, problems that cannot be solved in polynomial time are

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