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

Explain np-complete decision problem, a. Determine the result of inserting ...

a. Determine the result of inserting the keys 4,19, 17, 11, 3, 12, 8, 20, 22, 23, 13, 18, 14, 16, 1, 2, 24, 25, 26, 5 in order to an empty B-Tree of degree 3. Only draw the configu

What are the specific needs for realism, Normal 0 false false...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

Find the optimal control, 1. Use the Weierstrass condition, find the (Stron...

1. Use the Weierstrass condition, find the (Strongly) minimizing curve and the value of J min for the cases where x(1) = 0, x(2) = 3. 2. The system = x 1 + 2u; where

Linked list, How to creat ATM project by using double linked list?

How to creat ATM project by using double linked list?

Recurrence relation, solve the following relation by recursive method: T(n...

solve the following relation by recursive method: T(n)=2T(n^1/2)+log n

Example which cause problems for hidden-surface algorithms, Example which c...

Example which cause problems for some hidden-surface algorithms Some special cases, which cause problems for some hidden-surface algorithms, are penetrating faces and cyclic ov

Postfix expression, : Write an algorithm to evaluate a postfix expression. ...

: Write an algorithm to evaluate a postfix expression. Execute your algorithm using the following postfix expression as your input: a b + c d +*f ­ .

Algorithm to count number of nodes, Write an algorithm to count number of n...

Write an algorithm to count number of nodes in the circular linked list.                            Ans. Counting No of Nodes in Circular List Let list be a circular h

Define an array, Define an array. Array is made up of same data structu...

Define an array. Array is made up of same data structure that exists in any language. Array is set of same data types. Array is the collection of same elements. These same elem

Notes, Ask question #Minimum 10000 words accepted#

Ask question #Minimum 10000 words accepted#

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