B – trees, Data Structure & Algorithms

Assignment Help:

B-trees are special m-ary balanced trees utilized in databases since their structure allows records to be added, deleted & retrieved with guaranteed worst case performance.

A B-Tree is a special multiway tree. In a B-Tree each of nodes may contain a large number of keys. The number of subtrees of each of node may also be large. A B-Tree is designed to branch out in this great number of directions and to contain many keys in each node so that height of the tree is comparatively small.

It means that only a small number of nodes have to be read from disk to retrieve an item.

A B-Tree of order m is multiway search tree of order m such as

  • All leaves are onto the bottom level
  • All internal nodes (except root node) contain at least m/2 (non empty) children
  • The root node can have as few as 2 children if this is an internal node and can have no children if the root node is leaf node
  • Each leaf node has to contain atleast (m/2) - 1 keys. The given is the structure for a B-tree :

struct btree

{          int count;         // number of keys stored into the current node

            item_type key[3];        // array to hold 3 keys

            long branch [4];           // array of fake pointers (records numbers)

};                    

Figure depicts an order 5 B-tree.

1847_B – TREES.png

Figure: A B-tree of order 5


Related Discussions:- B – trees

The number of different directed trees with 3 nodes, The number of differen...

The number of different directed trees with 3 nodes are ?? The number of disimilar directed trees with three nodes are 3

Design the system for seller, Your program should include three components ...

Your program should include three components selling, buying and managing for the use of sellers, buyers and the Manager, respectively. Provide a menu for a user to enter each comp

Calculation of storage complexity, Since memory is becoming more & cheaper,...

Since memory is becoming more & cheaper, the prominence of runtime complexity is enhancing. However, it is very much significant to analyses the amount of memory utilized by a prog

Algorithm for inorder traversals, Step-1: For the current node, verify whet...

Step-1: For the current node, verify whether it contain a left child. If it has, then go to step-2 or else go to step-3 Step-2: Repeat step-1 for left child Step-3: Visit (th

The game tree, An interesting application or implementation of trees is the...

An interesting application or implementation of trees is the playing of games such as tie-tac-toe, chess, nim, kalam, chess, go etc. We can depict the sequence of possible moves

Adjacency matrix, Q. Give the adjacency matrix for the graph drawn below:  ...

Q. Give the adjacency matrix for the graph drawn below:                                                 Ans: Adjacency matrix for the graph given to us

Data communication, #question.explain different types of errors in data tra...

#question.explain different types of errors in data transmission.

space, What is Space complexity of an algorithm? Explain

What is Space complexity of an algorithm? Explain.

Flow chart, that will determine the volume of the sphere or the volume of c...

that will determine the volume of the sphere or the volume of cone or volume of pyramid depending on the choice of the user

Reverse order of elements on a slack, Q. Describe the representations of gr...

Q. Describe the representations of graph. Represent the graph which is given to us using any two methods Ans: The different ways by which we can represent graphs are:

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