Method and apparatus for estimating transitive closure and reach

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

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707 2, 707 4, 707 5, G06F 1730

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active

057522413

ABSTRACT:
The invention relates to method and apparatus for computing transitive closure and reachability in directed graphs. These are fundamental graph problems with many applications such as database query optimization. A random rank is applied to each node (or record or element, as the case may be) and the least rank reachable from each such node is determined. This least rank value reachable from a node is highly correlatable to the size of the reachable set. An estimator can therefore be applied to convert the least reachable rank value to an estimate of the size of the reachable set. The accuracy of the estimate can be increased by repeating the random rank assignments together with the least reachable rank determinations and averaging the results.

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Carlos Escalante et al., "Estimating the Cost of GraphLog Queries", IEEE Publications, pp. 145-148, May 1995.

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