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

Designed to manage the booking, Beauty Salon is a system to be designed to...

Beauty Salon is a system to be designed to manage the booking and the payment of a single beauty parlour. Beauty Therapists: A beauty parlour has a number of staff members mo

Sort 5, The number of interchanges needed to sort 5, 1, 6, 2 4 in ascending...

The number of interchanges needed to sort 5, 1, 6, 2 4 in ascending order using Bubble Sort is 5

Deletion of a node from an avl tree, For AVL trees the deletion algorithm i...

For AVL trees the deletion algorithm is a little more complicated as there are various extra steps involved in the deletion of node. If the node is not a leaf node, then it contain

Determine in brief the painter algorithm, Determine in brief the Painter A...

Determine in brief the Painter Algorithm a) The farthest polygon, namely the rectangle PQRS, is stored first. (b) The next farthest, the quadrilateral ABCD, is superpo

Omega notation, The ?-Notation (Lower Bound) This notation provides a l...

The ?-Notation (Lower Bound) This notation provides a lower bound for a function to within a constant factor. We write f(n) = ?(g(n)), if there are positive constants n 0 and

Write an algorithm for binary search, Q.1 Write procedures/ Algorithm to in...

Q.1 Write procedures/ Algorithm to insert and delete an element in to array. Q.2. Write an algorithm for binary search. What are the conditions under which sequential search of

Insertion of element into a linked list, ALGORITHM (Insertion of element in...

ALGORITHM (Insertion of element into a linked list) Step 1 Begin the program Step 2 if the list is empty or any new element comes before the start (head) element, then add t

Algorithm, write an algorithm for the gpa of six students

write an algorithm for the gpa of six students

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