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Join Dependency Testing, Loomis-Whitney Join, and Triangle Enumeration

Summary: JD testing NP-hard even for binary relations, resolving a long-open question (prior hardness required Omega(d)-arity) and ruling out efficient small-arity JD tests unless P=NP. New I/O-efficient JD-existence algorithm that settles Loomis-Whitney enumeration and gives optimal external-memory I/O bounds for triangle enumeration, improving PODS'14. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID
1653
Venue
PODS
Year
2015
Pagerank
5.9271735e-05
Overall Rank
4,779 | 66.76%
DOI
10.1145/2745754.2745768

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

Rank Cited Paper Year Venue Pagerank
502 Worst-case Optimal Join Algorithms 2012 PODS 0.00021526612
2,215 The Input/Output Complexity of Triangle Enumeration 2014 PODS 9.2717602e-05
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