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

Search on a hashed file, Write a program to simulate searching over a hashe...

Write a program to simulate searching over a hashed file, with different assumptions for the sizeof file pages.Write a program to perform equality search operations on the hashed f

Explain divide and conquer algorithms, Explain divide and conquer algorithm...

Explain divide and conquer algorithms  Divide  and  conquer  is  probably  the  best  known  general  algorithm  design  method.  It   work according to the following general p

Define the carrier set of the symbol abstract data type, Define the Carrier...

Define the Carrier set of the Symbol ADT Carrier set of the Symbol ADT is the set of all finite sequences of characters over Unicode characters set (Unicode is a standard char

Memory mapping, lower triangular matrix and upper triangular matrix

lower triangular matrix and upper triangular matrix

Explain about greedy technique, Explain about greedy technique The  gre...

Explain about greedy technique The  greedy  method  suggests  constructing  a   solution  to  an  optimization  problem   by  a sequence of steps, every expanding a partially c

Search on a heap file, Consider the file " search_2013 ". This is a text fi...

Consider the file " search_2013 ". This is a text file containingsearch key values; each entry is a particular ID (in the schema given above). You are tosimulate searching over a h

Non-recursive algorithm, Q .  Write down the non-recursive algorithm to tra...

Q .  Write down the non-recursive algorithm to traverse a tree in preorder. Ans: T he Non- Recursive algorithm for preorder traversal is written below: Initially i

How to write binary search algorithm?, Q. Write down the binary search algo...

Q. Write down the binary search algorithm and trace to search element 91 in following given list: 13          30          62           73         81         88             91

Discuss the properties of adt, Question 1 Write a program in 'C' to rea...

Question 1 Write a program in 'C' to read N numbers and print them in descending order Question 2 Discuss the properties of ADT Question 3 Write a note on

Explain about franklin algorithm, Explain about Franklin Algorithm We m...

Explain about Franklin Algorithm We mentioned how the number of possible comparisons of polygons grows as the square of the number of polygons in the scene. Many of the hidden-

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