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

Write the algorithm of the quick sort, Ans. An algorithm for the quick...

Ans. An algorithm for the quick sort is as follows: void quicksort ( int a[ ], int lower, int upper ) { int i ; if ( upper > lower ) { i = split ( a, lower, up

Explain division method, Explain Division Method Division Method: - In...

Explain Division Method Division Method: - In this method, key K to be mapped into single of the m states in the hash table is divided by m and the remainder of this division

Define the term - array, Define the term - Array A fixed length, ord...

Define the term - Array A fixed length, ordered collection of values of same type stored in contiguous memory locations; collection may be ordered in several dimensions.

Explain the question, Merging 4 sorted files having 50, 10, 25 and 15 recor...

Merging 4 sorted files having 50, 10, 25 and 15 records will take time

First class Abstract data type , 3. A function to convert a complex number ...

3. A function to convert a complex number in algebraic form to a complex number in phasor form

What are expression trees, What are expression trees?  The leaves of an...

What are expression trees?  The leaves of an expression tree are operands, like as constants or variable names, and the other nodes have operators. This certain tree happens to

Java code and algorythem, Suppose that you want to develop a program that a...

Suppose that you want to develop a program that accepts a postfix expression and asks values for variables in the expression. Then you need to calculate the answer for the expressi

Algorithm that inputs the codes for all items in stock, A shop sells books,...

A shop sells books, magazines and maps. Every item is identified by a unique 4 - digit code. All books have a code which starts with 1, all maps have a code starting with 2 and all

Explain the arrays in ruby, Explain the Arrays in Ruby Ruby arrays are ...

Explain the Arrays in Ruby Ruby arrays are dynamic arrays which expand automatically whenever a value is stored in a location beyond current end of the array. To the programmer

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