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

Explain state space tree, Explain State Space Tree If it is convenient ...

Explain State Space Tree If it is convenient to execute backtracking by constructing a tree of choices being made, the tree is known as a state space tree. Its root indicates a

Algorithm to sort a given list by quick sort method, Q. Write down an algor...

Q. Write down an algorithm to sort a given list by making use of Quick sort method. Describe the behaviour of Quick sort when input given to us is already sorted.

Rotations in binary tree, H o w can you r ot a t e a B i n a r y...

H o w can you r ot a t e a B i n a r y Tr e e? E x pl a i n r i g h t a n d l eft r ot a tion s by taking an e x a mpl e.   If after

Implementing abstract data types, Implementing abstract data types A co...

Implementing abstract data types A course in data structures and algorithms is hence a course in implementing abstract data types. It may seem that we are paying a lot of atten

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

Declaring a two dimensional array, Declaring a two dimensional array   A...

Declaring a two dimensional array   A two dimensional array is declared same to the way we declare a one-dimensional array except that we state the number of elements in both di

Illustrate the visual realism applications, Illustrate the Visual realism a...

Illustrate the Visual realism applications a)   Robot Simulations : Visualization of movement of their links and joints  and end effector movement etc. b)  CNC programs ver

Define the carrier set of the symbol abstract data type, Define the Carrier...

Define the Carrier set of the Symbol ADT Carrier set of the Symbol ADT is the set of all finite sequences of characters over Unicode characters set (Unicode is a standard char

Design and test a reference array, Instructions Design and test a r...

Instructions Design and test a reference array. Reference array stores the references to user supplied objects of different types. Just think it as a heterogeneous array wh

All pairs shortest paths, N = number of rows of the graph D[i[j] = C[i][...

N = number of rows of the graph D[i[j] = C[i][j] For k from 1 to n Do for i = 1 to n Do for j = 1 to n D[i[j]= minimum( d ij (k-1) ,d ik (k-1) +d kj (k-1)

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