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

Define the term array, Define the term array. An array is a way to refe...

Define the term array. An array is a way to reference a series of memory locations using the same name. Each memory location is represented by an array element. An  array eleme

Define the external path length, Define the External Path Length The Ex...

Define the External Path Length The External Path Length E of an extended binary tree is explained as the sum of the lengths of the paths - taken over all external nodes- from

Stacks, Q. Explain w hat are the stacks? How can we use the stacks  to chec...

Q. Explain w hat are the stacks? How can we use the stacks  to check whether an expression is correctly parentheses or not. For example (()) is well formed but (() or )()( is not w

Methods of collision resolution, Methods of Collision Resolution 1)  Co...

Methods of Collision Resolution 1)  Collision Resolution by separate chaining  2)  Collision Resolution by open addressing

Design the system for seller, Your program should include three components ...

Your program should include three components selling, buying and managing for the use of sellers, buyers and the Manager, respectively. Provide a menu for a user to enter each comp

Computational complexity, Generally, Computational complexity of algorithms...

Generally, Computational complexity of algorithms are referred to through space complexity (space needed for running program) and time complexity (time needed for running the progr

Program for all pairs shortest paths algorithm, Program segment for All pai...

Program segment for All pairs shortest paths algorithm AllPairsShortestPaths(int N, Matrix C, Matrix P, Matrix D) { int i, j, k if i = j then C[i][j] = 0  for ( i =

Applications in file systems of avl trees, 1. In computer science, a classi...

1. In computer science, a classic problem is how to dynamically store information so as to let for quick look up. This searching problem arises frequently in dictionaries, symbol t

Array implementation of a multiqueue, Program gives the program segment by ...

Program gives the program segment by using arrays for the insertion of an element to a queue into the multiqueue. Program: Program segment for the insertion of any element to t

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