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

Define rule-based expert system, 1. Define the following terms in a rule-ba...

1. Define the following terms in a rule-based expert system? a) Knowledge base b) Inference engine 2. What is a fuzzy rule? Explain the difference between classical and fuzzy

Algorithms and flowcharts, write an algorithm and draw a flowchart to calcu...

write an algorithm and draw a flowchart to calculate the perimeter and area of a circle

Pipeling, Asktypes of pipelining question #Minimum 100 words accepted#

Asktypes of pipelining question #Minimum 100 words accepted#

Find error for curious number, #include #include int sumFact(int numb);...

#include #include int sumFact(int numb); int calculateFactorial(int digit); main() { int numb, sumfact; do{ printf ("Enter a number 1 to 9999\n"); scanf("%

Hotel reservation system, pls i want a psuedo code for hotel reservation sy...

pls i want a psuedo code for hotel reservation system.

Areas of use - sequential files, Sequential files are most frequently utili...

Sequential files are most frequently utilized in commercial batch oriented data processing where there is the concept of a master file on which details are inserted periodically. F

Efficient way of storing a sparse matrix in memory, Explain an efficient wa...

Explain an efficient way of storing a sparse matrix in memory.   A matrix in which number of zero entries are much higher than the number of non zero entries is called sparse mat

Asymptotic analysis, Asymptotic Analysis Asymptotic analysis is dependi...

Asymptotic Analysis Asymptotic analysis is depending on the idea that as the problem size grows, the complexity can be defined as a simple proportionality to some known functio

Time complexity, The  total  of  time  needed  by  an algorithm to run to i...

The  total  of  time  needed  by  an algorithm to run to its completion is termed as time complexity. The asymptotic running time of an algorithm is given in terms of functions. Th

Advantages of dry running a flowchart, Advantages of dry running a flowchar...

Advantages of dry running a flowchart When dry running a flowchart it's advisable to draw up a trace table illustrating how variables change their values at every stage in the

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