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

Comparisons between linear and binary search, Comparative Study of Linear a...

Comparative Study of Linear and Binary Search Binary search is lots quicker than linear search. Some comparisons are following: NUMBER OF ARRAY ELEMENTS EXAMINED array

Queue be represented by circular linked list, Q. Can a Queue be represented...

Q. Can a Queue be represented by circular linked list with only one pointer pointing to the tail of the queue? Substantiate your answer using an example. A n s . Yes a

Explain first - fit method, First - Fit Method: -    The free list is trave...

First - Fit Method: -    The free list is traversed sequentially to search the 1st free block whose size is larger than or equal to the amount requested. Once the block is found it

Algorithm to find maximum and minimum numbers, Give an algorithm to find bo...

Give an algorithm to find both the maximum and minimum of 380 distinct numbers that uses at most 568 comparisons.

DAA, what do we use asymptotic notation in study of algorithm?Describe vari...

what do we use asymptotic notation in study of algorithm?Describe various asymptotic notation and give their significance.

What are circular queues, What are circular queues?  Circular queue: St...

What are circular queues?  Circular queue: Static queues have a very large drawback that once the queue is FULL, even though we erase few elements from the "front" and relieve

Depth of complete binary tree, What will be depth do , of complete binary t...

What will be depth do , of complete binary tree of n nodes, where nodes are labelled from 1 to n with root as node and last leaf node as node n

Enumerate the types in ruby, Enumerate the Types in Ruby Ruby is a pure...

Enumerate the Types in Ruby Ruby is a pure object-oriented language, meaning that all types in Ruby are classes, and each value in a Ruby program is an instance of a class. Thi

Circular queues and implement circular queues using array, Explain what are...

Explain what are circular queues? Write down routines required for inserting and deleting elements from a circular queue implemented using arrays.           Circular queue:

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