B-tree, Data Structure & Algorithms

Assignment Help:

Unlike a binary-tree, each node of a B-tree may have a number of keys and children. The keys are stored or saved in non-decreasing order. Each key has an related child that is the root of a subtree containing all nodes with keys less than or equal to the key but greater than the preceding key. A node also contains an additional rightmost child that is the root for a subtree containing all keys greater than any keys in the node.

A B-tree has a minimum number of permissible children for each node known as the minimization factor. If t is this minimization factor, then every node must have at least t - 1 keys. Under certain conditions, the root node is allowed to violate this property by having fewer than t - 1 keys. Every node can have at most 2t - 1 keys or, equivalently, 2t children.

For n greater than or equal to one, the height of an n-key b-tree T of height h with a smallest degree t greater than or equal to 2, h≤logt (n+1/2)

 


Related Discussions:- B-tree

Lists, In the earlier unit, we have discussed about the arrays. Arrays are ...

In the earlier unit, we have discussed about the arrays. Arrays are data structures of fixed size. Insertion & deletion involves reshuffling of array elements. Thus, arraymanipulat

Exact analysis of insertion sort, Exact analysis of insertion sort: Let...

Exact analysis of insertion sort: Let us assume the following pseudocode to analyse the exact runtime complexity of insertion sort. T j   is the time taken to execute the s

Sorting, how to do a merge sorting

how to do a merge sorting

Data structure, Ask question #Minimum 1Mark each of the following statement...

Ask question #Minimum 1Mark each of the following statements as valid or invalid. If a statement is invalid, explain why. a. current ¼ list; b. temp->link->link ¼ NULL; c. trail->l

Determine about the logic gates, Determine about the logic gates Many e...

Determine about the logic gates Many electronic circuits operate using binary logic gates. Logic gates essentially process signals that represent true or false or equivalent i.

Union & intersection of two linklist, how to write an algorithm for unions ...

how to write an algorithm for unions & intersection of two linklists?

Which sorting algorithm is adaptable to singly linked list, Which sorting a...

Which sorting algorithm is easily adaptable to singly linked lists? Simple Insertion sor t is easily adabtable to singly linked list.

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

Memory allocation strategies, Q. Explain the various memory allocation stra...

Q. Explain the various memory allocation strategies.                                                            Ans. M e m ory Allocation Strategies are given as follow

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