https://github.com/mslapek/augmentedtree

F# library implementing immutable augmented red-black trees.
https://github.com/mslapek/augmentedtree

algorithm data-structure fsharp immutable search-trees

Last synced: 15 days ago
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F# library implementing immutable augmented red-black trees.

• Host: GitHub
• URL: https://github.com/mslapek/augmentedtree
• Owner: mslapek
• License: gpl-3.0
• Created: 2017-05-09T08:47:14.000Z (over 7 years ago)
• Default Branch: master
• Last Pushed: 2017-05-09T08:47:17.000Z (over 7 years ago)
• Last Synced: 2024-11-20T15:58:48.729Z (3 months ago)
• Topics: algorithm, data-structure, fsharp, immutable, search-trees
• Size: 19.5 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# Augmented Tree

**AugmentedTree** is F# library implementing immutable augmented red-black trees.

The structure `AugmentedTree` is designed to be a basis for other data structures

and algorithms.

All basic operations take O(log *n*) running time under some conditions

described in bibliography.

## Nomenclature

**Key** is value, over which we perform search.

**Attribute** is additional value attached to node, which is function

of current node key and attributes of node children.

## Bibliography

* Description of augmented search trees [(lecture)](http://www.bowdoin.edu/~ltoma/teaching/cs231/fall05/Lectures/augtrees.pdf).

* Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein. 2009. *Introduction to Algorithms, Third Edition* (3rd ed.). The MIT Press. Chapter 14: Augmenting Data Structures.