Intermediate Topic 20 of 52 Data Structures
B-Trees
Wide balanced trees optimized for disk block access.
How it works
A B-tree node holds many sorted keys and many children, which keeps the tree shallow and wide. All leaves are at the same depth, and nodes split when full and merge when too empty, so the tree stays balanced automatically. Choosing a node size equal to a disk page lets one disk read fetch hundreds of keys, so lookups need only a handful of I/O operations.
Where it is used
Database indexes, file systems such as NTFS, ext4 and Btrfs, and key-value stores use B-trees to search huge datasets stored on disk. They support range scans efficiently.
Common pitfall
Node splits and merges are intricate, and concurrent updates need careful locking or latch protocols. Random inserts cause page fragmentation, and write amplification can be high on SSDs. Choose the order based on page size and key size.
Where it fits in the course
B-Trees is topic 20 of 52 in Data Structures, rated Intermediate. It follows Red-Black Trees. The next topic is B+ Trees.
Practice and explore
- Open the interactive lesson, with a mini quiz.
- Take the Data Structures quiz.
- Explore the Binary Search Tree visualizer: Insert keys and run traversals.
How to study this topic
- Read the explanation above and restate the definition in your own words.
- Open the interactive lesson and answer its mini quiz.
- Read the common pitfall, then write a short example that avoids it.
- Check your understanding in the Data Structures quiz, and revisit the topic if you miss a question.
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Related topics
- Red-Black Trees (Data Structures)
- B+ Trees (Data Structures)
- AVL Trees (Data Structures)
- Heaps (Data Structures)
- Decision Trees (AI & Machine Learning)
- Trees in Graph Theory (Theory & Discrete Math)
- Abstract Syntax Trees (Languages & Compilers)