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

Operations on sequential files, Insertion: Records has to be inserted at t...

Insertion: Records has to be inserted at the place dictated by the sequence of keys. As is obvious, direct insertions into the main data file would lead to frequent rebuilding of

Sorting algorithm for singly linked lists, Q. Which sorting algorithm can b...

Q. Which sorting algorithm can be easily adaptable for singly linked lists? Explain your answer as well.        Ans: The simple Insertion sort is sim

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

Linked list, write an algorithm for multiplication of two sparse matrices u...

write an algorithm for multiplication of two sparse matrices using Linked Lists

Complete trees, This is a k-ary position tree wherein all levels are filled...

This is a k-ary position tree wherein all levels are filled from left to right. There are a number of specialized trees. They are binary trees, AVL-trees, binary search trees, 2

Insertion of a node into an avl tree, Initially Nodes are inserted in an AV...

Initially Nodes are inserted in an AVL tree in the same manner as an ordinary binary search tree. Though, the insertion algorithm for any AVL tree travels back along with the pa

Explain how the shuttle sort algorithm works, Question 1 Explain how th...

Question 1 Explain how the shuttle sort algorithm works by making use of the following list of integers:11, 4, 2, 8, 5, 33, 7, 3, 1, 6. Show all the steps. Question 2

Array vs. ordinary variable, Q. Describe what do you understand by the term...

Q. Describe what do you understand by the term array? How does an array vary from an ordinary variable? How are the arrays represented in the specific memory?

Explain open addressing, Open addressing The easiest way to resolve a c...

Open addressing The easiest way to resolve a collision is to start with the hash address and do a sequential search by the table for an empty location.

Rl rotation - avl tree, Example: (Double left rotation while a new node is ...

Example: (Double left rotation while a new node is added into the AVL tree (RL rotation)) Figure: Double left rotation when a new node is inserted into the AVL tree A

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