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

C++ function, Write c++ function to traverse the threaded binary tree in in...

Write c++ function to traverse the threaded binary tree in inorder traversal

Stack, implement multiple stacks ina single dimensional array. write algori...

implement multiple stacks ina single dimensional array. write algorithams for various stack operation for them.

Abstract data type-stack, Conceptually, the stack abstract data type mimics...

Conceptually, the stack abstract data type mimics the information kept into a pile on a desk. Informally, first we consider a material on a desk, where we might keep separate stack

Representation of data structure in memory, Representation of data structur...

Representation of data structure in memory is known as: Abstract data type

State cmy model, CMY Model  The cyan, magenta, yellow (CMY) colour mode...

CMY Model  The cyan, magenta, yellow (CMY) colour model is a subtractive model based on the colour absorption properties of paints and inks. As such it has become the standard

Insert an element after an element pointed by some pointer, Consider a link...

Consider a linked list of n elements. What is the time taken to insert an element after an element pointed by some pointer? O (1)

Explain insertion sort, Q. Explain the insertion sort with a proper algorit...

Q. Explain the insertion sort with a proper algorithm. What is the complication of insertion sort in the worst case?

Explain in detail about the abstract data type, Abstract data type The ...

Abstract data type The thing which makes an abstract data type abstract is that its carrier set and its operations are mathematical entities, like geometric objects or numbers;

Linked list, create aset of ten numbers.then you must divide it into two s...

create aset of ten numbers.then you must divide it into two sets numbers which are set of odd numbers and set of even numbers.

Algorithm to merge two sorted arrays with third array, Q. Write down an alg...

Q. Write down an algorithm to merge the two sorted arrays into the third array. Do  not perform the sort function in the third array.                           Ans: void m

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