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

Difference between prism''s and kruskal''s algorithm, Difference among Pris...

Difference among Prism's and Kruskal's Algorithm In Kruskal's algorithm, the set A is a forest. The safe edge added to A is always a least-weight edge in the paragraph that lin

Present the algorithm of binary search. , B i n a ry Search Alg...

B i n a ry Search Algorithm is given as follows 1. if (low > high) 2.     return (-1) 3. mid = (low +high)/2; 4. if ( X = = a [mid]) 5.      return (mid); 6.

Define abstract data type & column major ordering for arrays, Q1. Define th...

Q1. Define the following terms: (i) Abstract data type. (ii) Column major ordering for arrays. (iii)  Row major ordering for arrays. Q2. Explain the following: (i) A

Depth first search, DEPTH FIRST SEARCH (DFS) The approach adopted into ...

DEPTH FIRST SEARCH (DFS) The approach adopted into depth first search is to search deeper whenever possible. This algorithm frequently searches deeper through visiting unvisite

Determine in brief the painter algorithm, Determine in brief the Painter A...

Determine in brief the Painter Algorithm a) The farthest polygon, namely the rectangle PQRS, is stored first. (b) The next farthest, the quadrilateral ABCD, is superpo

Linked List Variations, Part1: Deque and Bag Implementation First, complet...

Part1: Deque and Bag Implementation First, complete the Linked List Implementation of the Deque (as in Worksheet 19) and Bag ADTs (Worksheet 22). Files Needed: linkedList.c Linke

B-tree of degree 3, Q. Explain the result of inserting the keys given. ...

Q. Explain the result of inserting the keys given. F, S, Q, K, C, L, H, T, V, W, M, R, N, P, A, B, X, Y, D, Z, E  in an order to an empty B-tree of degree-3.

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

Technique for direct search, Technique for direct search is    Hashing ...

Technique for direct search is    Hashing is the used for direct search.

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