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

Describe commonly used asymptotic notations, Q.1 Compare two functions n 2 ...

Q.1 Compare two functions n 2 and 2 n for various values of n. Determine when second becomes larger than first. Q.2 Why do we use asymptotic notation in the study of algorit

Psedocodes, write a pseudocode to input the top speed (in km''s/hours) of 5...

write a pseudocode to input the top speed (in km''s/hours) of 5000 cars output the fastest speed and the slowest speed output the average (mean) speed of all the 5000 cars answers

Sequential search of a list is preferred over binary search, What are the c...

What are the conditions under which sequential search of a list is preferred over binary search? Sequential Search is a preferred over binary search when the list is unordered

Write down any four applications of queues, Write down any four application...

Write down any four applications of queues.            Application of Queue (i)  Queue is used in time sharing system in which programs with the similar priority form a queu

State hsv colour model, HSV Colour Model Instead of a set of colour pri...

HSV Colour Model Instead of a set of colour primaries, the HSV model uses colour descriptions that have a more intuitive appeal to a user. To give a colour specification, a use

Small program on Algorithms , Objective The goal of this project is to ext...

Objective The goal of this project is to extend and implement an algorithm presented in the course and to apply notions introduced by the course to this program/algorithm. The ass

Steps of pre-order traversal, Pre-order Traversal The method of doing a...

Pre-order Traversal The method of doing a pre-order traversal iteratively then has the several steps(suppose that a stack is available to hold pointers to the appropriate nodes

Type of qualitative method, Type of Qualitative Method: Different  qua...

Type of Qualitative Method: Different  qualitative methods are suitable for different  types of study. Quite often we can  combine  qualitative and quantitative  methods. Many

Big o notation, This notation gives an upper bound for a function to within...

This notation gives an upper bound for a function to within a constant factor. Given Figure illustrates the plot of f(n) = O(g(n)) depend on big O notation. We write f(n) = O(g(n))

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