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

Breadth first traversal, The data structure needed for Breadth First Traver...

The data structure needed for Breadth First Traversal on a graph is Queue

Algorithms & flowchart, write an algorithm to find the average number of oc...

write an algorithm to find the average number of occurances of MECHANIL in an english passage

Effective way of storing two symmetric matrices, Explain an efficient and e...

Explain an efficient and effective way of storing two symmetric matrices of the same order in the memory. A n-square matrix array will be symmetric if a[j][k]=a[k][j] for all j

Process of accessing data stored in a serial access memory, The process of ...

The process of accessing data stored in a serial access memory is same to manipulating data on a By using stack  method.

Degree of node, Q. The degree of a node is defined as the number of childre...

Q. The degree of a node is defined as the number of children it has. Shear show that in any binary tree, the total number of leaves is one more than the number of nodes of degree 2

Array, extra key inserted at end of array is called

extra key inserted at end of array is called

Indexed sequential files, Indexed Sequential Files An index is inserted...

Indexed Sequential Files An index is inserted to the sequential file to provide random access. An overflow area required to be maintained to permit insertion in sequence. I

The quick sort algorithm exploit design technique, The quick sort algorithm...

The quick sort algorithm exploit design technique Divide and Conquer

Array implementation of a circular queue, A circular queue can be implement...

A circular queue can be implemented through arrays or linked lists. Program 6 gives the array implementation of any circular queue. Program 6: Array implementation of any Circu

Algorithmic implementation of multiple stacks, So far, we now have been con...

So far, we now have been concerned only with the representation of single stack. What happens while a data representation is required for several stacks? Let us consider an array X

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