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

Write a procedure that produces independent stack, Write a procedure (make-...

Write a procedure (make-stack) that produces independent stack objects, using a message-passing style, e.g. (define stack1 (make-stack))  (define stack2 (make-stack)) W

Explain best - fit method, Best - Fit Method: - This method obtains the sma...

Best - Fit Method: - This method obtains the smallest free block whose  size is greater than or equal to get such a block by traversing the whole free list follows.

Hashing and hash functions, Q. Describe the term hashing. Explain any two u...

Q. Describe the term hashing. Explain any two usually used hash functions. Explain one method of collision resolution.

Naïve recursive algorithm for binomial coefficients, How many recursive cal...

How many recursive calls are called by the naïve recursive algorithm for binomial coefficients, C(10, 5) and C(21, 12) C(n,k){c(n-1,k)+c(n-1,k-1) if 1 1 if k = n or k = 0

Importance of object-oriented over java, Importance of Object-Oriented over...

Importance of Object-Oriented over java Java is basically based on OOP notions of classes and objects. Java uses a formal OOP type system that should be obeyed at compile-t

Heap sort, We will start by defining a new structure called Heap. Figure 3 ...

We will start by defining a new structure called Heap. Figure 3 illustrates a Binary tree. Figure: A Binary Tree A complete binary tree is said to assure the 'heap con

Algorithms & flowchart, write an algorithm to find the average number of oc...

write an algorithm to find the average number of occurances of MECHANIL in an english passage

Python programming, how to write a function of area of a circle using pytho...

how to write a function of area of a circle using python

Avl trees, An AVL tree is a binary search tree that has the given propertie...

An AVL tree is a binary search tree that has the given properties: The sub-tree of each of the node differs in height through at most one. Each sub tree will be an AVL tre

Define spanning tree, Define Spanning Tree A Spanning Tree of a connect...

Define Spanning Tree A Spanning Tree of a connected graph is its linked acyclic sub graph (i.e., a tree) that having all the vertices of the graph.

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