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A Trichotomy for Regular Simple Path Queries on Graphs

Summary: Complete classification of regular languages for regular simple path queries: data complexity is exactly AC0, NL-complete, or NP-complete. Identifies a simple regex fragment for tractability; membership testing is NL-complete for DFAs and PSPACE-complete for NFAs/regexes, with results extended to vertex-labeled graphs. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID
h1c73a917fbb51c7c
Venue
PODS
Year
2013
Pagerank
6.2458323e-05
Overall Rank
5,133 | 65.60%
DOI
10.1145/2463664.2467795

Incoming Non-self Citations Over Time

Authors

BibTeX Citation

@inproceedings{bagan_pods13,
        address = {New York, NY, USA},
        series = {{PODS} '13},
        title = {{A Trichotomy for Regular Simple Path Queries on Graphs}},
        url = {https://dl.acm.org/doi/10.1145/2463664.2467795},
        doi = {10.1145/2463664.2467795},
        booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
        publisher = {Association for Computing Machinery},
        author = {Bagan, Guillaume and Bonifati, Angela and Groz, Benoit},
        year = {2013}
}

Incoming Citations (Sorted by Pagerank)

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Outgoing Citations (Sorted by Pagerank)

Showing 5 of 5 cited papers.

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

Rank Cited Paper Year Venue Pagerank
306 A Graphical Query Language Supporting Recursion 1987 SIGMOD 0.00021533151
358 Regular Path Queries with Constraints 1997 PODS 0.00020030407
2,541 Computing Label-Constraint Reachability in Graph Databases 2010 SIGMOD 8.3021057e-05
3,483 The Complexity of Evaluating Path Expressions in SPARQL 2012 PODS 7.2450764e-05
5,122 Querying Graph Patterns 2011 PODS 6.2506877e-05
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