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Contributors
DISCLAIMER
1. Introduction
2. Defining and Using Classes
3. References, Recursion, and Lists
4. SLLists
5. DLLists
6. Arrays
7. Testing
8. ArrayList
9. Inheritance I: Interface and Implementation Inheritance
10. Inheritance II: Extends, Casting, Higher Order Functions
11. Inheritance III: Subtype Polymorphism, Comparators, Comparable
12. Inheritance IV: Iterators, Object Methods
13. Asymptotics I
14. Disjoint Sets
15. Asymptotics II
16. ADTs and BSTs
17. B-Trees
18. Red Black Trees
19. Hashing I
20. Hashing II
21. Heaps and Priority Queues
22. Tree Traversals and Graphs
23. Graph Traversals and Implementations
24. Shortest Paths
25. Minimum Spanning Trees
26. Prefix Operations and Tries
27. Software Engineering I
28. Reductions and Decomposition
29. Basic Sorts
30. Quicksort
31. Software Engineering II
32. More Quick Sort, Sorting Summary
33. Software Engineering III
34. Sorting and Algorithmic Bounds
35. Radix Sorts
36. Sorting and Data Structures Conclusion
37. Software Engineering IV
38. Compression and Complexity
39. Compression, Complexity, P = NP

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For the complete documentation index, see llms.txt. This page is also available as Markdown.

17. B-Trees

17.4 B-Tree Invariants

B-Tree Invariants

Because of the way B-Trees are constructed, they have two invariants:

All leaves are the same distance from the root.
A non-leaf node with k items must have exactly k + 1 children.

These two invariants guarantee a "bushy" tree with $\log N$ height.

Previous17.3 B-Tree Operations Next17.5 B-Tree Performance

Last updated 3 years ago