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

Relationship between shortest path distances of modified, a) Given a digrap...

a) Given a digraph G = (V,E), prove that if we add a constant k to the length of every arc coming out from the root node r, the shortest path tree remains the same. Do this by usin

Illustrate the intervals in mathematics, Illustrate the intervals in mathem...

Illustrate the intervals in mathematics Carrier set of a Range of T is the set of all sets of values v ∈ T such that for some start value s ∈ T and end value e ∈ T, either s ≤

Binary search technique, Q. Describe the basic concept of binary search tec...

Q. Describe the basic concept of binary search technique? Is it more efficient than the sequential search?         Ans : The bin ary search technique:- This tec

Graph & optimal scheduling, You are given an undirected graph G = (V, E) in...

You are given an undirected graph G = (V, E) in which the edge weights are highly restricted. In particular, each edge has a positive integer weight of either {1,2,...,W}, where W

A binary tree in which levels except possibly the last, A binary tree in wh...

A binary tree in which if all its levels except possibly the last, have the maximum number of nodes and all the nodes at the last level appear as far left as possible, is called as

Rooted tree, It does not have any cycles (circuits, or closed paths), which...

It does not have any cycles (circuits, or closed paths), which would imply the existence of more than one path among two nodes. It is the most general kind of tree, and might be co

Find the shortest paths from bellman-ford algorithm, a) Find the shortest p...

a) Find the shortest paths from r to all other nodes in the digraph G=(V,E) shown below using the Bellman-Ford algorithm (as taught in class). Please show your work, and draw the f

Multiple queue, algorithm for multiple queue with example program

algorithm for multiple queue with example program

Infix expression into the postfix expression, Q. Convert the given infix ex...

Q. Convert the given infix expression into the postfix expression (also Show the steps) A ∗ (B + D)/ E - F(G + H / k ) Ans. Steps showing Infix to Post fix

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