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

What do you mean by hash clash, What do you mean by hash clash? Hashing...

What do you mean by hash clash? Hashing is not perfect. Occasionally, a collision occurs when two different keys hash into the same hash value and are assigned to the same arra

Structure of an avl tree, Given is the structure of an AVL tree: struct ...

Given is the structure of an AVL tree: struct avl { struct node *left; int info; int bf; struct node *right; }; 2) A multiway tree of n order is an ord

Insertion sort, It is a naturally occurring sorting method exemplified thro...

It is a naturally occurring sorting method exemplified through a card player arranging the cards dealt to him. He picks up the cards like they are dealt & added them into the neede

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.

Find longest repeat prefix of string - linear time algorithm, 1. A string s...

1. A string s is said to be periodic with a period α, if s is α k for some k > 2. (Note that α k is the string formed by concatenating k times.) A DNA sequence s is called a tand

Algorithm for multiplication of two sparse matrices using li, algorithm for...

algorithm for multiplication of two sparse matrices using linked lists..

Objectives of lists, After going through this unit, you will be able to: ...

After going through this unit, you will be able to: • define and declare Lists; • understand the terminology of Singly linked lists; • understand the terminology of Doubly

Operations on b-trees, Operations on B-Trees Given are various operatio...

Operations on B-Trees Given are various operations which can be performed on B-Trees: Search Create Insert B-Tree does effort to minimize disk access and t

Explain th term input and output- pseudocode, Explain th term input and ou...

Explain th term input and output-  Pseudocode Input and output indicated by the use of terms input number, print total, output total, print "result is" x and so on.

Queue, 1. Show the effect of each of the following operations on queue q. A...

1. Show the effect of each of the following operations on queue q. Assume that y (type Character) contains the character ‘&’. What are the final values of x and success (type boole

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