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

Explain the representations of graph, Explain the representations of graph....

Explain the representations of graph. The different ways of representing a graph is: Adjacency list representation : This representation of graph having of an array Adj of

Convertion, how we can convert a graph into tree

how we can convert a graph into tree

Advantage of list over arrays, The advantage of list over Arrays is flexibi...

The advantage of list over Arrays is flexibility. Over flood is not a problem until the computer memory is bushed. When the individual record are quite large, it may be difficult t

Determination of time complexity, Determination of Time Complexity The...

Determination of Time Complexity The RAM Model The random access model (RAM) of computation was devised through John von Neumann to study algorithms. In computer science,

Programme in c to create a single linked list, Q. Write  down a   p...

Q. Write  down a   programme  in  C  to  create  a  single  linked  list also  write the functions to do the following operations (i)  To insert a new node at the end (ii

Explain space complexity, Explain Space Complexity Space Complexity :...

Explain Space Complexity Space Complexity :- The space complexity of an algorithm is the amount of memory it requires to run to completion. Some of the reasons to study space

A tree having ''m'' nodes has (m-1) branches. prove., Q. Prove the hypothes...

Q. Prove the hypothesis that "A tree having 'm' nodes has exactly (m-1) branches".      Ans: A tree having m number of nodes has exactly (m-1) branches Proof: A root

Calculus, basic calculation for algorith.

basic calculation for algorith.

Hashing and five popular hashing functions, Q. Explain the term hashing? Ex...

Q. Explain the term hashing? Explain any five well known hash functions.                         Ans: Hashing method provides us the direct access of record from the f

Data mining, hello, i need help in data mining assignment using sas em and...

hello, i need help in data mining assignment using sas em and crisp-dm

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