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Output-Optimal Algorithms for Join-Aggregate Queries

Summary: Output-optimal algorithms for acyclic join-aggregate queries over commutative semirings; runtime Theta(N * OUT^(1-1/fn-fhtw) + OUT), with fn-fhtw the free-connex fractional hypertree width. First polynomial improvement over Yannakakis in four decades; resolves the open question and yields output-sensitive results for cyclic queries via tree decompositions. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID
1975
Venue
PODS
Year
2025
Pagerank
4.4897014e-05
Overall Rank
8,589 | 40.25%
DOI
10.1145/3725241

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Incoming Citations (Sorted by Pagerank)

Showing 3 of 3 citing papers.

Rank Citing Paper Year Venue Pagerank
9,744 Output-Sensitive Evaluation of Regular Path Queries 2025 PODS 4.2897489e-05
9,988 I Can't Believe It's Not Yannakakis: Pragmatic Bitmap Filters in Microsoft SQL Server 2026 CIDR 4.1945683e-05
10,241 Robust Predicate Transfer with Dynamic Execution 2026 VLDB 4.1945683e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 26 of 26 cited papers.

Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.

Rank Cited Paper Year Venue Pagerank
31 Provenance Semirings 2007 PODS 0.0007857786
502 Worst-case Optimal Join Algorithms 2012 PODS 0.00021526612
583 FAQ: Questions Asked Frequently 2016 PODS 0.00019717214
834 Learning Linear Regression Models over Factorized Joins 2016 SIGMOD 0.00016135159
1,056 The Dynamic Yannakakis Algorithm: Compact and Efficient Query Processing Under Updates 2017 SIGMOD 0.0001441128
1,442 What do Shannon-type Inequalities, Submodular Width, and Disjunctive Datalog have to do with one another? 2017 PODS 0.00011956109
2,169 AJAR: Aggregations and Joins over Annotated Relations 2016 PODS 9.3845975e-05
2,215 The Input/Output Complexity of Triangle Enumeration 2014 PODS 9.2717602e-05
3,006 On Functional Aggregate Queries with Additive Inequalities 2019 PODS 7.7299363e-05
3,024 Secure Yannakakis: Join-Aggregate Queries over Private Data 2021 SIGMOD 7.692511e-05
3,371 On the Enumeration Complexity of Unions of Conjunctive Queries 2019 PODS 7.1696145e-05
3,833 Output-optimal Parallel Algorithms for Similarity Joins 2017 PODS 6.7173578e-05
3,885 Density-optimized Intersection-free Mapping and Matrix Multiplication for Join-Project Operations 2022 VLDB 6.6674822e-05
4,465 Robust Join Processing with Diamond Hardened Joins 2024 VLDB 6.1604282e-05
5,639 Cover or Pack: New Upper and Lower Bounds for Massively Parallel Joins 2021 PODS 5.393897e-05
5,718 Conjunctive Queries with Comparisons 2022 SIGMOD 5.3552123e-05
5,765 Predicate Transfer: Efficient Pre-Filtering on Multi-Join Queries 2024 CIDR 5.336442e-05
5,967 Change Propagation Without Joins 2023 VLDB 5.250976e-05
6,647 Fast Join Project Query Evaluation using Matrix Multiplication 2020 SIGMOD 4.9772122e-05
7,017 Query Evaluation by Circuits 2022 PODS 4.8603097e-05
7,065 Fast Matrix Multiplication for Query Processing 2024 PODS 4.8447515e-05
7,126 Debunking the Myth of Join Ordering: Toward Robust SQL Analytics 2025 SIGMOD 4.8232367e-05
7,162 Computing the Difference of Conjunctive Queries Efficiently 2023 SIGMOD 4.8132423e-05
8,034 Instance-Optimal Acyclic Join Processing Without Regret: Engineering the Yannakakis Algorithm in Column Stores 2025 VLDB 4.6010599e-05
8,966 Output-sensitive Conjunctive Query Evaluation 2024 PODS 4.4193184e-05
9,670 On Efficient Large Sparse Matrix Chain Multiplication 2024 SIGMOD 4.3066148e-05
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