The B-tree in Data Structure

Data StructureAnalysis of AlgorithmsAlgorithms

Here we will see what are the B-Trees. The B-Trees are specialized m-way search tree. This can be widely used for disc access. A B-tree of order m, can have maximum m-1 keys and m children. This can store large number of elements in a single node. So the height is relatively small. This is one great advantage of B-Trees.

B-Tree has all of the properties of one m-way tree. It has some other properties.

  • Every node in B-Tree will hold maximum m children

  • Every node except root and leaves, can hold at least m/2 children

  • The root nodes must have at least two children.

  • All leaf nodes must have at same level

Example of B-Tree

This supports basic operations like searching, insertion, deletion. In each node, the item will be sorted. The element at position i has child before and after it. So children sored before will hold smaller values, and children present at right will hold bigger values.

raja
Published on 11-Aug-2020 09:56:04
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