PHP Classes

LLRB Tree: Manage a balanced tree of text word nodes

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llrbtree 1.0Custom (specified...5.2PHP 5, Data types
Description 

Author

Jay Wheeler

This package can be used to manage a balanced tree of text word nodes.

It implements a left leaning Red-Black binary search tree that uses Node objects instead of arrays to implement the tree data structures.

It can perform operations on nodes of text words like insert, search, delete and traverse the tree, maintaining a balanced and correctly formed tree after each operation. This makes it perfect for creating efficient symbol tables and dictionaries.

Innovation Award
PHP Programming Innovation award nominee
August 2009
Number 6

Prize: One copy of VS.PHP		 Red-Black trees are data structures are self-balancing trees that can be used to implement binary search algorithms.

This class provides a pure PHP implementation of this kind of trees.

Manuel Lemos
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Name: Jay Wheeler <contact>
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All time rank: 2488342 in United States United States
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Innovation award
Innovation award
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Details

This work is based on algorithms developed by 

  D. E. Knuth, The Art of Computer Programming, 
    Vol. 3, Sorting and Searching, Addison–Wesley, 
  
  Robert Sedgewick, Left-leaning Red-Black Trees
    (http://www.cs.princeton.edu/~rs/talks/LLRB/LLRB.pdf)

  Robert Sedgewick, 2008 International Conference on the Analysis of Algorithms in Maresias, Brazil 
    (http://www.ime.usp.br/~cris/AofA2008/slides/sedgewick.pdf)

  Files folder image Files (9)  
File Role Description
Plain text file bNode.php Class Binary node abstract base class
Plain text file bTree.php Class Binary tree abstract base class
Plain text file iComparable.php Class An interface to compare two objects
Accessible without login Plain text file License Lic. Statement of Copyright
Plain text file LLRBNode.php Class Implementation of the bNode class for LLRB nodes
Plain text file LLRBTree.php Class Implementation of the bTree class for LLRB Tree
Accessible without login Plain text file ReadMe Doc. Short description of the source of (most) of the algorithms
Accessible without login Plain text file testLLRBTree.php Example A test application to prove the correct operation of the LLRB tree
Accessible without login Plain text file testLLRBTreeResults Output Sample output from running testLLRBTree.php

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Robert Sedgewick (Department of Computer Science, Princeton University) published a very good algorithm, complete with detailed explanation, of creating and maintaining 2-3 and 2-3-4 binary trees, called Left Leaning Red Black Binary Trees (LLRB)...

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