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

Complexity of an algorithm, Q. Explain the complexity of an algorithm?  Wha...

Q. Explain the complexity of an algorithm?  What are the worst case analysis and best case analysis explain with an example.

Define tree ?, A tree is a non-empty set one component of which is designat...

A tree is a non-empty set one component of which is designated the root of the tree while the remaining components are partitioned into non-empty groups each of which is a subtree

Determine the greatest common divisor, Determine the greatest common diviso...

Determine the greatest common divisor (GCD) of two integers, m & n. The algorithm for GCD might be defined as follows: While m is greater than zero: If n is greater than m, s

Prims algorithm, how to implement prims algorithm dynamically

how to implement prims algorithm dynamically

Quicksort and bubble sort algorithms, Task If quicksort is so quick, w...

Task If quicksort is so quick, why bother with anything else? If bubble sort is so bad, why even mention it? For that matter, why are there so many sorting algorithms? Your

Total impedent of the circuit, an electrical student designed a circuit in...

an electrical student designed a circuit in which the impedence in one part of a series circuit is 2+j8 ohms and the impedent is another part of the circuit is 4-j60 ohm mm program

Representation of max-heap sequentially, Q. How do we represent a max-heap ...

Q. How do we represent a max-heap sequentially? Explain by taking a valid   example.         Ans: A max heap is also called as a descending heap, of size n is an almos

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

Order of linear search, a. In worst case the order of linear search is O (n...

a. In worst case the order of linear search is O (n/2) b. Linear search is more competent than Binary search. c. For Binary search, the array must be sorted in ascending orde

Er diagram, Ask queConsider the following functional dependencies: Applican...

Ask queConsider the following functional dependencies: Applicant_ID -> Applicant_Name Applicant_ID -> Applicant_Address Position_ID -> Positoin_Title Position_ID -> Date_Position_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