B-Trees (Balanced Trees) - Yousef's Notes
B-Trees (Balanced Trees)

B-Trees (Balanced Trees)

B-trees are self-balancing tree data structures used in databases and file systems for efficient data management. They maintain balance through various operations.

#Structure

  • B-Trees are composed of nodes with a fixed number of child nodes.
  • They have a root node, internal nodes, and leaf nodes.

#How it works

  • Data is organized hierarchically in the tree.
  • Each node stores a range of keys and their corresponding values.
  • B-Trees maintain balance by redistributing keys during insertions and deletions.

#Structure of a B-Tree node (keys, pointers)

#Keys

  • Each B-Tree node contains a set of keys.
  • Keys are values used for indexing and searching data.
  • Keys within a node are stored in sorted order.

#Pointers

  • Along with keys, B-Tree nodes have corresponding pointers.
  • Pointers are references to child nodes or data associated with the keys.
  • The number of pointers in a node equals the number of keys plus one.

![[CleanShot 2024-09-15 at [email protected]]]

#Benefits and Challenges of B-Trees

#Benefits

  • Balanced structure
    • B-Trees are self-balancing, ensuring that the tree remains relatively shallow and height-balanced.
    • Efficient searching
    • Provides efficient logarithmic time complexity (O(log n)) for search, insertions, and deletions.
  • Ordered Data
    • Data is stored in a sorted order, making range queries efficient.

#Challenges

  • Complexity
    • B-Trees require more complex maintenance than simpler data structures like arrays or linked lists.
  • Not ideal for dynamic datasets
    • Frequent insertions and deletions can lead to tree rebalancing, impacting performance.