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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
1613
Venue
PODS
Year
2013
Pagerank
5.5126983e-05
Overall Rank
5,424 | 62.27%
DOI
-

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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
274 Regular Path Queries with Constraints 1997 PODS 0.00029390022
363 A Graphical Query Language Supporting Recursion 1987 SIGMOD 0.00025715157
2,957 Computing Label-Constraint Reachability in Graph Databases 2010 SIGMOD 7.8198686e-05
3,652 The Complexity of Evaluating Path Expressions in SPARQL 2012 PODS 6.875313e-05
4,946 Querying Graph Patterns 2011 PODS 5.8149362e-05
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