B – trees, Data Structure & Algorithms

Assignment Help:

B-trees are special m-ary balanced trees utilized in databases since their structure allows records to be added, deleted & retrieved with guaranteed worst case performance.

A B-Tree is a special multiway tree. In a B-Tree each of nodes may contain a large number of keys. The number of subtrees of each of node may also be large. A B-Tree is designed to branch out in this great number of directions and to contain many keys in each node so that height of the tree is comparatively small.

It means that only a small number of nodes have to be read from disk to retrieve an item.

A B-Tree of order m is multiway search tree of order m such as

  • All leaves are onto the bottom level
  • All internal nodes (except root node) contain at least m/2 (non empty) children
  • The root node can have as few as 2 children if this is an internal node and can have no children if the root node is leaf node
  • Each leaf node has to contain atleast (m/2) - 1 keys. The given is the structure for a B-tree :

struct btree

{          int count;         // number of keys stored into the current node

            item_type key[3];        // array to hold 3 keys

            long branch [4];           // array of fake pointers (records numbers)

};                    

Figure depicts an order 5 B-tree.

1847_B – TREES.png

Figure: A B-tree of order 5


Related Discussions:- B – trees

What is class invariants assertion, What is Class invariants assertion ...

What is Class invariants assertion A class invariant is an assertion which should be true of any class instance before and after calls of its exported operations. Generally

Define about the class invariant, Define about the class invariant A cl...

Define about the class invariant A class invariant may not be true during execution of a public operation though it should be true between executions of public operations. For

Data flow diagrams, How to construct a data flow diagram for a college assi...

How to construct a data flow diagram for a college assignment and marking systemA

Generic doubly linked list, Your objective is to write a generic doubly lin...

Your objective is to write a generic doubly linked list class called CS228LinkedList that implements the List interface and uses a type variable T. All methods except for subList a

Algorithm, write an algorithm for the gpa of six students

write an algorithm for the gpa of six students

Ruby implements range of t abstract data type, Ruby implements Range of T A...

Ruby implements Range of T Abstract data type Ruby implements Range of T ADT in its Range class. Elements of carrier set are represented in Range instances by recording interna

Infix expression to postfix form using the stack function, Q. Convert the f...

Q. Convert the following given Infix expression to Postfix form using the stack function: x + y * z + ( p * q + r ) * s , Follow general precedence rule and suppose tha

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

Linked list implementation of a dequeue, Double ended queues are implemente...

Double ended queues are implemented along doubly linked lists. A doubly link list can traverse in both of the directions as it contain two pointers namely left pointers and righ

#title.state charts., explain two strategies to implement state charts with...

explain two strategies to implement state charts with the help of an example of each.

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