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

Recursive function , Q. Write down the recursive function to count the numb...

Q. Write down the recursive function to count the number of the nodes in the binary tree.    A n s . R ecursive Function to count no. of Nodes in Binary Tree is writt

Execute algorithm to convert infix into post fix expression, Q. Execute you...

Q. Execute your algorithm to convert the infix expression to the post fix expression with the given infix expression as input Q = [(A + B)/(C + D) ↑ (E / F)]+ (G + H)/ I

Kruskal algorithm for minimum spanning, Implementations of Kruskal's algori...

Implementations of Kruskal's algorithm for Minimum Spanning Tree. You are implementing Kruskal's algorithm here. Please implement the array-based Union-Find data structure.

Explain what is stack. describe ways to execute stack. , ST AC K is ...

ST AC K is explained as follows : A stack is one of the most usually used data structure. A stack is also called a Last-In-First-Out (LIFO) system, is a linear list in

Determine the effect of ruby in implementation of string, Determine the eff...

Determine the effect of Ruby in implementation of string Ruby has a String class whose instances are mutable sequences of Unicode characters. Symbol class instances are charact

Infix notation to postfix notation, Which data structure is required to cha...

Which data structure is required to change infix notation to postfix notation?    Stack function is used to change infix notation to postfix notatio n

Relative and direct files, Each data record contains a fixed place in a rel...

Each data record contains a fixed place in a relative file. Each record ought to have associated with it in integer key value which will help identify this slot. Therefore, this ke

Red-black trees, A Red-Black Tree (RBT) is a type of Binary Search tree wit...

A Red-Black Tree (RBT) is a type of Binary Search tree with one extra bit of storage per node, i.e. its color that can either be red or black. Now the nodes can have any of the col

Frequency counts for all statements, Evaluate the frequency counts for all ...

Evaluate the frequency counts for all statements in the following given program segment. for (i=1; i ≤ n; i ++) for (j = 1; j ≤ i; j++) for (k =1; k ≤ j; k++) y ++;

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