Partition Constraints for Conjunctive Queries: Bounds and Worst-Case Optimal Joins

Fuente: arXiv
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Autori principali: Deeds, Kyle, Merkl, Timo Camillo
Natura: Preprint
Pubblicazione: 2025
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author Deeds, Kyle
Merkl, Timo Camillo
author_facet Deeds, Kyle
Merkl, Timo Camillo
contents In the last decade, various works have used statistics on relations to improve both the theory and practice of conjunctive query execution. Starting with the AGM bound which took advantage of relation sizes, later works incorporated statistics like functional dependencies and degree constraints. Each new statistic prompted work along two lines; bounding the size of conjunctive query outputs and worst-case optimal join algorithms. In this work, we continue in this vein by introducing a new statistic called a \emph{partition constraint}. This statistic captures latent structure within relations by partitioning them into sub-relations which each have much tighter degree constraints. We show that this approach can both refine existing cardinality bounds and improve existing worst-case optimal join algorithms.
format Preprint
id arxiv_https___arxiv_org_abs_2501_04190
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Partition Constraints for Conjunctive Queries: Bounds and Worst-Case Optimal Joins
Deeds, Kyle
Merkl, Timo Camillo
Databases
In the last decade, various works have used statistics on relations to improve both the theory and practice of conjunctive query execution. Starting with the AGM bound which took advantage of relation sizes, later works incorporated statistics like functional dependencies and degree constraints. Each new statistic prompted work along two lines; bounding the size of conjunctive query outputs and worst-case optimal join algorithms. In this work, we continue in this vein by introducing a new statistic called a \emph{partition constraint}. This statistic captures latent structure within relations by partitioning them into sub-relations which each have much tighter degree constraints. We show that this approach can both refine existing cardinality bounds and improve existing worst-case optimal join algorithms.
title Partition Constraints for Conjunctive Queries: Bounds and Worst-Case Optimal Joins
topic Databases
url https://arxiv.org/abs/2501.04190