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

Representation of max-heap sequentially, Q. How do we represent a max-heap ...

Q. How do we represent a max-heap sequentially? Explain by taking a valid   example.         Ans: A max heap is also called as a descending heap, of size n is an almos

Queues, what is queues? how it work? and why it used? i want an assignment...

what is queues? how it work? and why it used? i want an assignment on queue .....

Shortest path algorithms, A driver takes shortest possible route to attain ...

A driver takes shortest possible route to attain destination. The problem which we will discuss here is similar to this type of finding shortest route in any specific graph. The gr

Implementation of stack using arrays, A Stack has an ordered list of elemen...

A Stack has an ordered list of elements & an array is also utilized to store ordered list of elements. Therefore, it would be very simple to manage a stack by using an array. Thoug

What is Polyphase Sort, One of the best known methods for external sorting ...

One of the best known methods for external sorting on tapes is the polyphase sort. Principle: The basic strategy of this sort is to distribute ordered initial runs of predetermi

Pipelining., How branching takes place in Instruction pipeline. Explain wit...

How branching takes place in Instruction pipeline. Explain with suitable examples

Convert a binary tree into its mirror image by traversing it, One can chang...

One can change a binary tree into its mirror image by traversing it in Postorder is the only proecess whcih can convert binary tree into its mirror image.

Implementation of stack, Before programming a problem solution those employ...

Before programming a problem solution those employees a stack, we have to decide how to represent a stack by using the data structures which exist in our programming language. Stac

What is Oscillating Sort?, For the Oscillating sort to be applied, it is ne...

For the Oscillating sort to be applied, it is necessary for the tapes to be readable in both directions and able to be quickly reversed. The oscillating sort is superior to the po

Logic circuits, the voltage wave forms are applied at the inputs of an EX-O...

the voltage wave forms are applied at the inputs of an EX-OR gate. determine the output wave form

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