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A New Way to Speed Up Recursion in Relational Databases
Abstract
Composite object represented as a directed graph is an important data structure which requires efficient support in CAD/CAM, CASE, office systems, software management, web databases and document databases. It is cumbersome to handle such an object in relational database systems when it involves recursion relationships. In this paper, we present a new encoding method to support the efficient computation of recursion. In addition, we devise a linear time algorithm to identify the sequence of spanning trees (forests) w.r.t. a directed acyclic graph (DAG), which covers all the edges of the graph. Together with the new encoding method, this algorithm enable us to compute recursion w.r.t. a DAG in time O(e), where e represent the number of the edges of the DAG. More importantly, this method is especially suitable for a relational environment.
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