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

B-TREE and AVL tree diffrance, Explain process of B-TREE and what differen...

Explain process of B-TREE and what difference between AVL Tree Using Algorithms

Breadth first traversal, The data structure needed for Breadth First Traver...

The data structure needed for Breadth First Traversal on a graph is Queue

Programming information system, Describe an algorithm to play the Game of N...

Describe an algorithm to play the Game of Nim using all of the three tools (pseudocode, flowchart, hierarchy chart)

Explain the memory function method, Explain the Memory Function method ...

Explain the Memory Function method The Memory Function method seeks to combine strengths of the top  down and bottom-up approaches  to  solving  problems  with  overlapping  su

For loop, for (i = 0; i sequence of statements } Here, the loop e...

for (i = 0; i sequence of statements } Here, the loop executes n times. Thus, the sequence of statements also executes n times. Since we suppose the time complexity of th

What is a linear array, What is a linear array? An array is a way to re...

What is a linear array? An array is a way to reference a series of memory locations using the similar name. Every memory location is shown by an array element. An  array elemen

Generate a single sorted list of all n elements, Q. Assume that we have sep...

Q. Assume that we have separated n elements in to m sorted lists. Explain how to generate a single sorted list of all n elements in time O (n log m )?

Omega notation, The ?-Notation (Lower Bound) This notation provides a l...

The ?-Notation (Lower Bound) This notation provides a lower bound for a function to within a constant factor. We write f(n) = ?(g(n)), if there are positive constants n 0 and

A tree having ''m'' nodes has (m-1) branches. prove., Q. Prove the hypothes...

Q. Prove the hypothesis that "A tree having 'm' nodes has exactly (m-1) branches".      Ans: A tree having m number of nodes has exactly (m-1) branches Proof: A root

Trees, Have you ever thought about the handling of our files in operating s...

Have you ever thought about the handling of our files in operating system? Why do we contain a hierarchical file system? How do files saved & deleted under hierarchical directories

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