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

Show that towers of hanoi is o (2n), Question 1 Discuss the advantages of ...

Question 1 Discuss the advantages of implementation checks preconditions Question 2 Write a ‘C' program to search for an item using binary search Question 3 Show that To

Name the five popular hashing functions, Five popular hashing functions are...

Five popular hashing functions are as follows: 1) Division Method 2) Midsquare Method 3) Folding Method 4) Multiplicative method 5) Digit Analysis

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

Binary tree construction, Construct a B+ tree for the following keys, start...

Construct a B+ tree for the following keys, starting with an empty tree.  Each node in the tree can hold a maximum of 2 entries (i.e., order d = 1). Start with an empty root nod

Queue, 1. Show the effect of each of the following operations on queue q. A...

1. Show the effect of each of the following operations on queue q. Assume that y (type Character) contains the character ‘&’. What are the final values of x and success (type boole

Row major storage, Q. Take an array A[20, 10] of your own. Suppose 4 words ...

Q. Take an array A[20, 10] of your own. Suppose 4 words per memory cell and the base address of array A is 100. Find the address of A[11, 5] supposed row major storage.

Determine the complexity, 1)    The set of the algorithms whose order is O ...

1)    The set of the algorithms whose order is O (1) would run in the identical time.  True/False 2)    Determine the complexity of the following program into big O notation:

Red-black tree after insertion, The above 3 cases are also considered conve...

The above 3 cases are also considered conversely while the parent of Z is to the right of its own parent. All the different kind of cases can be illustrated through an instance. Le

Find the optimal solution - branch and bound algorithm, Consider the follow...

Consider the following 5-city traveling salesman problem. The distance between each city (in miles) is shown in the following table: (a) Formulate an IP whose solution will

What are expression trees, What are expression trees?  The leaves of an...

What are expression trees?  The leaves of an expression tree are operands, like as constants or variable names, and the other nodes have operators. This certain tree happens to

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