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

Two broad classes of collision resolution techniques, Two broad classes of ...

Two broad classes of collision resolution techniques are A) open addressing and B) chaining

Order of linear search, a. In worst case the order of linear search is O (n...

a. In worst case the order of linear search is O (n/2) b. Linear search is more competent than Binary search. c. For Binary search, the array must be sorted in ascending orde

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

Non-recursive implementation of preorder traversal, For preorder traversal,...

For preorder traversal, in the worst case, the stack will rise to size n/2, where n refer to number of nodes in the tree. Another method of traversing binary tree non-recursively t

Determine about the push operation, Determine about the push operation ...

Determine about the push operation A Container may or may not be accessible by keys, so it can't make assumptions about element retrieval methods (for example, it cannot have a

Name the four data type groups, There are four data type groups:  I...

There are four data type groups:  Integer kepts whole numbers and signed numbers Floating-point Stores real numbers (fractional values). Perfect for storing bank deposit

Multiple stacks in a single array, implement multiple stacks in an array an...

implement multiple stacks in an array and write different algorithms to perform operations on it

Define game trees, Game trees An interesting application of trees is th...

Game trees An interesting application of trees is the playing of games such as tie-tac-toe, chess, nim, kalam, chess, go etc. We can picture the sequence of possible moves by m

Binary tree, A binary tree is a tree data structures in which each node hav...

A binary tree is a tree data structures in which each node have at most two child nodes, generally distinguished as "right" and "left". Nodes with children are called parent nodes,

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

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