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

Queues, what is the difference between data type and abstract data type

what is the difference between data type and abstract data type

Efficiency of linear search, Efficiency of Linear Search How much numbe...

Efficiency of Linear Search How much number of comparisons is there in this search in searching for a particular element? The number of comparisons based upon where the reco

Data Structure, Ask consider the file name cars.text each line in the file ...

Ask consider the file name cars.text each line in the file contains information about a car ( year,company,manufacture,model name,type) 1-read the file 2-add each car which is repr

Binary tree creation, Binary tree creation struct NODE { struct N...

Binary tree creation struct NODE { struct NODE *left; int value; struct NODE *right; }; create_tree( struct NODE *curr, struct NODE *new ) { if(new->val

Endogenous model, Question a) Describe how the endogenous model is an ...

Question a) Describe how the endogenous model is an improvement to the neo-classical model in explaining the long-run effect of investment on economic growth of a country.

Complexity of quick sort, Q. What do you mean by the best case complexity o...

Q. What do you mean by the best case complexity of quick sort and outline why it is so. How would its worst case behaviour arise?

BST has two children, If a node in a BST has two children, then its inorder...

If a node in a BST has two children, then its inorder predecessor has No right child

Process of channel access, Channel access In first generation systems, ...

Channel access In first generation systems, every cell supports a number of channels. At any given time a channel is allocated to only one user. Second generation systems also

Define the term array, Define the term array. An array is a way to refe...

Define the term array. An array is a way to reference a series of memory locations using the same name. Each memory location is represented by an array element. An  array eleme

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