Characteristics of B-Trees

  • Multiple Keys: Unlike traditional binary search trees, each node in a B-Tree can contain multiple keys, which allows the tree to have a larger branching factor and thus a shallower height.
  • Balanced Tree: B-Trees maintain balance by ensuring that each node has a minimum number of keys, so the tree is always balanced.
  • Efficiency: This balance guarantees that the time complexity for operations such as insertion, deletion, and searching is always O(log n), regardless of the initial shape of the tree.
  • Properties: All leaves are at the same level. The number of children of a node is equal to the number of keys in it plus. All keys of a node are sorted in increasing order.
  • Applications: B-Trees are particularly well suited for storage systems that have slow, bulky data access such as hard drives, flash memory, and CD-ROMs.

B Tree in Python

A B-tree is a self-balancing tree data structure that maintains sorted data and allows searches, sequential access, insertions, and deletions in logarithmic time.

B Tree in Python


Table of Content

  • Characteristics of B-Trees
  • Traversal of B-Tree in Python
  • Search operation in B Tree in Python
  • Insert operation in B Tree in Python
  • Delete operation in B Tree in Python

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Characteristics of B-Trees:

Multiple Keys: Unlike traditional binary search trees, each node in a B-Tree can contain multiple keys, which allows the tree to have a larger branching factor and thus a shallower height.Balanced Tree: B-Trees maintain balance by ensuring that each node has a minimum number of keys, so the tree is always balanced.Efficiency: This balance guarantees that the time complexity for operations such as insertion, deletion, and searching is always O(log n), regardless of the initial shape of the tree.Properties: All leaves are at the same level. The number of children of a node is equal to the number of keys in it plus. All keys of a node are sorted in increasing order.Applications: B-Trees are particularly well suited for storage systems that have slow, bulky data access such as hard drives, flash memory, and CD-ROMs....

Traversal of B-Tree in Python:

Let us see how we can define a class for the B tree in Python. Let us see the individual parts of code used for the implementation of the B tree....

Search operation in B Tree in Python:

B tree makes it convenient for users to search for an element in it like searching for an element in any other binary tree. Let us see how it searches for an element ‘m‘ in the tree....

Insert operation in B Tree in Python:

Inserting an element refers to adding the element at a certain position in the tree. Let us see how the B tree allows the insertion of an element....

Delete operation in B Tree in Python:

Deleting elements refers to removing the element from a certain position in the tree. Let us see how the B tree allows the deletion of an element. We need to study 3 different cases for deleting an element....