Explain insertion procedure into a b-tree, Data Structure & Algorithms

Assignment Help:

Ans:

Insertion into the B-tree:

1.  First search is made for the place where the new record must be positioned. As soon as the keys are inserted, they are sorted into the appropriate order.

2.  If the node can contain the new record, insert the new record at the suitable pointer so that number of pointers happens to be one more than the number of records.

3.  If the node overflows because of an upper bound on the size of the node, splitting is needed. The node is divided into three parts; the middle record is passed up and inserted into parent, leaving two children at the back. If n is odd (n-1 keys in full node and the new target key), the median key int(n/2)+1 is placed into the parent node, the lower n/2 keys are placed in the left leaf and the higher n/2 keys are placed in the right leaf. If n is even, we may have left biased or right biased means one key can be more in left child or right child respectively.

4.  Splitting may propagate up the tree because the parent, into which the divided record is added, it may overflow then it may be split.  If the root is required to be divided, a new record is created with only two children.

 

 


Related Discussions:- Explain insertion procedure into a b-tree

Implementation of tree, The most common way to insert nodes to a general tr...

The most common way to insert nodes to a general tree is to first discover the desired parent of the node you desire to insert, and then insert the node to the parent's child list.

Operations on b-trees, Operations on B-Trees Given are various operatio...

Operations on B-Trees Given are various operations which can be performed on B-Trees: Search Create Insert B-Tree does effort to minimize disk access and t

Illustrate the operations of the symbol abstract data type, The operations ...

The operations of the Symbol ADT The operations of the Symbol ADT are the following. a==b-returns true if and only if symbols a and bare identical. a symbol bin Unico

Explain about hubs, Hubs - In reality a multiport repeater - Connect...

Hubs - In reality a multiport repeater - Connects stations in a physical star topology - As well may create multiple levels of hierarchy to remove length limitation of 10

Process of post-order traversal, Post-order Traversal This can be done ...

Post-order Traversal This can be done both iteratively and recursively. The iterative solution would need a change of the in-order traversal algorithm.

Binary search, Explain binary search with an example

Explain binary search with an example

Applications of the queue, Write down any four applications of the queues. ...

Write down any four applications of the queues.                                                            Ans. A pp li cation of Queue is given below (i)  Queue is

Algorithm for multiplication of two sparse matrices using li, algorithm for...

algorithm for multiplication of two sparse matrices using linked lists..

Function performs multiplication of two numbers, You need to write a functi...

You need to write a function that performs multiplication of two numbers in your data structure. Again, remember how you multiply numbers in base 10 and you should be fine. Multipl

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