System and method for implementing dynamic set operations on...

Data processing: database and file management or data structures – Database design – Data structure types

Reexamination Certificate

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C707S793000, C707S793000

Reexamination Certificate

active

07069272

ABSTRACT:
A system and method are disclosed for implementing dynamic set operations on data stored in a sorted array using a hybrid red-black binary search tree as a data structure. More particularly, the subject invention facilitates the implementation of a binary search to access data items stored in a sorted array by position, rather than by key value. This is accomplished by generating a balanced red-black binary search tree for a sorted array of data items wherein the information stored at each node of the tree includes: a key value; a color; a left pointer to indicate the presence of a child to the left of the node; a right pointer to indicate the presence of a child to the right of the node; a count of descendents along a branch to the left of the node; and a count of descendants along a branch to the right of the node.

REFERENCES:
patent: 6321232 (2001-11-01), Syeda-Mahmood
patent: 6735595 (2004-05-01), Gobeille et al.
Schneier B., “Red-Black Trees”, Apr. 1992, Dr. Dobb's Journal vol. 17, No. 4, p. 42, 44-46.
Thomas H. Cormen, et al., Introduction to Algorithms, pp. 273-293 (MIT Press, 2d ed. 2001).

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