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Quadratic Algorithms for Minimizing Joins in Restricted Relational Expressions
Author(s) -
Yehoshua Sagiv
Publication year - 1983
Publication title -
siam journal on computing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.533
H-Index - 122
eISSN - 1095-7111
pISSN - 0097-5397
DOI - 10.1137/0212020
Subject(s) - joins , relational database , join (topology) , computer science , minification , relational algebra , equivalence (formal languages) , algorithm , quadratic equation , relational model , relational calculus , conjunctive query , mathematics , theoretical computer science , combinatorics , discrete mathematics , database , programming language , geometry
An important step in the optimization of queries in relational databases is minimizing the number of join operations in the evaluation of a query. It is shown that three subclasses of tableaux (including the subclass of simple tableaux) have $O(n^2 )$ time equivalence and minimization algorithms. Since tableaux are nonprocedural representations of relational expressions over select, project and join, these minimization algorithms can be used to minimize the number of join operators in expressions whose tableaux belong to one of these subclasses.

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