Insertion of a key into a b-tree, Data Structure & Algorithms

Assignment Help:

Example: Insertion of a key 33 into a B-Tree (w/split)

Step 1: Search first node for key closet to 33. Key 30 was determined.

632_Insertion of a key into a B-Tree.png

Step 2: Node pointed through key 30, is searched for inserting 33. Node is split and 36 is shifted upwards.

932_Insertion of a key into a B-Tree1.png

Step 3: Key 33 is inserted among 32 and 35.

1604_Insertion of a key into a B-Tree2.png

                                      Figure: A B-tree

Deletion of key from B-tree is not impossible, but care have to be taken to make sure that the properties of b-tree are maintained if the deletion decrease the number of keys into a node below the minimum degree of tree, this violation has to be connected by combining various nodes and possibly decreasing the height if the tree. If the key contain children, the children have to be rearranged.

Example (Searching of a B - Tree for key 21)

Step 1: Search for key 21 in first node. 21 are among 20 & 30.

1068_Insertion of a key into a B-Tree3.png

Step2: Searching is conducted onto the nodes linked by 30.

1784_Insertion of a key into a B-Tree4.png

                                Figure: A B-tree


Related Discussions:- Insertion of a key into a b-tree

State the output of avaerage value of numbers, Draw trace table and determi...

Draw trace table and determine output from the subsequent flowchart using below data:  X = 5, -3, 0, -3, 7, 0, 6, -11, -7, 12

Algorithm of decorated graph, As we talked in class, a program with two int...

As we talked in class, a program with two integer variables is universal. Now, we consider a special form of four variableprograms. Let G = (V; E) be a directed graph, where V is a

Algo for quicksort, Easy algorithm for beginner for quicksort with explanat...

Easy algorithm for beginner for quicksort with explanation

Data manipulation, perform the following length operation LENGTH("welcome t...

perform the following length operation LENGTH("welcome to ICA")=

Sorting algorithm is best if the list is already sorted, Which sorting algo...

Which sorting algorithm is best if the list is already sorted? Why? Insertion sort as there is no movement of data if the list is already sorted and complexity is of the order

Algorithm of binary search, Step 1: Declare array 'k' of size 'n' i.e. k(n)...

Step 1: Declare array 'k' of size 'n' i.e. k(n) is an array which stores all the keys of a file containing 'n' records Step 2: i←0 Step 3: low←0, high←n-1 Step 4: while (l

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)

Define the term counting - pseudocode, Define the term counting - Pseudocod...

Define the term counting - Pseudocode Counting in 1s is quite simple; use of statement count = count + 1 would enable counting to be done (for example in controlling a repeat

Define order of growth, Define order of growth The  efficiency  analysi...

Define order of growth The  efficiency  analysis  framework  concentrates   on  the  order  of  growth  of  an  algorithm's   basic operation count as the principal indicator o

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