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Size Bounds for Factorised Representations of Query Results
Abstract
We study two succinct representation systems for relational data based on relational algebra expressions with unions, Cartesian products, and singleton relations: f-representations, which employ algebraic factorisation using distributivity of product over union, and d-representations, which are f-representations where further succinctness is brought by explicit sharing of repeated subexpressions. In particular we study such representations for results of conjunctive queries. We derive tight asymptotic bounds for representation sizes and present algorithms to compute representations within these bounds. We compare the succinctness of f-representations and d-representations for results of equi-join queries, and relate them to fractional edge covers and fractional hypertree decompositions of the query hypergraph. Recent work showed that f-representations can significantly boost the performance of query evaluation in centralised and distributed settings and of machine learning tasks.
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“Factorised databases [19] make the same ordered-versus-free distinction under the name of variable orders and d-trees, where a branch-dependent order can be much smaller than any global one.”
From Prefix Sharing Is a Sorting Problem (2026) · cites this paper as [19]
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Cited by
Prefix Sharing Is a Sorting Problem
He, R. (2026) · arXiv · doi:10.48550/arxiv.2609.13692
Metadata
- Authors
- Olteanu, D., & Závodný, J.
- Affiliations
- University of Oxford (GB)
- ORCID
- Olteanu, Dan
- Venue
- ACM Transactions on Database Systems
- Published
- 2015-03-25
- Volume
- 40
- Issue
- 1
- Pages
- 1-44
- ISSN
- 0362-5915 (ISSN-L)
- 1557-4644
- OpenAlex
- W2050100848
- Cited by
- 116
- References
- 1
- Citations by year
- 2026: 3 · 2025: 15 · 2024: 9 · 2023: 15 · 2022: 7 · 2021: 10 · 2020: 9 · 2019: 9 · 2018: 12 · 2017: 9 · 2016: 11 · 2015: 5
- FWCI
- 14.14
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- ACM Transactions on Database Systems (publishedVersion)
- Funders
- EPSRC DTA (EP/P505216/1)
- Topics
- Physical Sciences › Computer Science › Information Systems › Advanced Database Systems and Queries
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Advanced Graph Theory Research
- Physical Sciences › Mathematics › Theoretical Computer Science › Algorithms and Data Compression
- Keywords
- succinct representation, conjunctive queries, query processing, relational algebra
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