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

Program of implementation of stack using arrays, include int choice, st...

include int choice, stack[10], top, element; void menu(); void push(); void pop(); void showelements(); void main() { choice=element=1; top=0; menu()

Deletion of a node from a binary search tree, The algorithm to delete any n...

The algorithm to delete any node having key from a binary search tree is not simple where as several cases has to be considered. If the node to be deleted contains no sons,

Define data model, Define data model?  A data model is a collection of ...

Define data model?  A data model is a collection of conceptual tools for explaning data, data relationships, data semantics and consistency constraints.

Algorithsm, What are the properties of an algorithsm?

What are the properties of an algorithsm?

Define the terms - key attribute and value set, Define the terms   ...

Define the terms     i) Key attribute     ii) Value set  Key attribute:  An entity  type  usually  has  an attribute  whose  values  are  distinct  fr

Kruskals algorithm, Krushkal's algorithm uses the concept of forest of tree...

Krushkal's algorithm uses the concept of forest of trees. At first the forest contains n single node trees (and no edges). At each of the step, we add on one (the cheapest one) edg

A full binary tree with n leaves, A full binary tree with n leaves have:- ...

A full binary tree with n leaves have:- 2n -1 nodes.

Give example of assertion and abstract data type, Give example of assertion...

Give example of assertion and abstract data type For illustration, consider Natural ADT whose carrier set is the set of non-negative integers and whose operations are the usual

Evaluation of arithmetic expressions, Stacks are often used in evaluation o...

Stacks are often used in evaluation of arithmetic expressions. An arithmetic expression contains operands & operators. Polish notations are evaluated through stacks. Conversions of

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