The Complexity of Regular Trail and Simple Path Queries on Undirected Graphs
Summary: Separates tractable vs. hard regular-language cases for trail and simple-path queries on undirected graphs using graph-minor and group-labeled techniques. Trails are polytime for common simple-chain regexes; simple-paths polytime for a large subclass, full dichotomy remains hard (subsumes a 30-year open problem). (summarized by gpt-5-mini on Feb 09 2026)
Incoming Non-self Citations Over Time
Authors
- 1. Wim Martens (University of Bayreuth)
- 2. Tina Popp (University of Bayreuth)
BibTeX Citation
@inproceedings{martens_pods22,
address = {New York, NY, USA},
series = {{PODS} '22},
title = {{The Complexity of Regular Trail and Simple Path Queries on Undirected Graphs}},
url = {https://dl.acm.org/doi/10.1145/3517804.3524149},
doi = {10.1145/3517804.3524149},
booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
publisher = {Association for Computing Machinery},
author = {Martens, Wim and Popp, Tina},
year = {2022}
}
Incoming Citations (Sorted by Pagerank)
Showing 2 of 2 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 8,190 | Conjunctive Regular Path Queries under Injective Semantics | 2023 | PODS | 5.4700577e-05 |
| 10,161 | Near-Optimality for Single-Source Personalized PageRank | 2026 | PODS | 5.093636e-05 |
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Outgoing Citations (Sorted by Pagerank)
Showing 9 of 9 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 312 | A Graphical Query Language Supporting Recursion | 1987 | SIGMOD | 0.00021733819 |
| 530 | An Analytical Study of Large SPARQL Query Logs | 2018 | VLDB | 0.0001709169 |
| 686 | Query Containment for Conjunctive Queries With Regular Expressions | 1998 | PODS | 0.00014948634 |
| 747 | Querying Graph Databases | 2013 | PODS | 0.00014400452 |
| 900 | G-CORE: A Core for Future Graph Query Languages | 2018 | SIGMOD | 0.00013337186 |
| 1,575 | Expressive Languages for Path Queries over Graph-Structured Data | 2010 | PODS | 0.00010318258 |
| 1,836 | Graph Pattern Matching in GQL and SQL/PGQ | 2022 | SIGMOD | 9.6489549e-05 |
| 3,103 | View-Based Query Processing for Regular Path Queries with Inverse | 2000 | PODS | 7.7562264e-05 |
| 4,981 | A Trichotomy for Regular Simple Path Queries on Graphs | 2013 | PODS | 6.4127882e-05 |
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Semantically Similar Papers
| # | Overall Rank | Paper | Year | Venue |
|---|---|---|---|---|
| 1 | 3,452 | The Complexity of Evaluating Path Expressions in SPARQL | 2012 | PODS |
| 2 | 9,235 | Output-Sensitive Evaluation of Regular Path Queries | 2025 | PODS |
| 3 | 2,066 | Rewriting of Regular Expressions and Regular Path Queries | 1999 | PODS |
| 4 | 13,124 | Factoring Augmented Regular Chain Programs | 1990 | VLDB |
| 5 | 747 | Querying Graph Databases | 2013 | PODS |
| 6 | 1,575 | Expressive Languages for Path Queries over Graph-Structured Data | 2010 | PODS |
| 7 | 11,225 | Efficient Regular Simple Path Queries under Transitive Restricted Expressions | 2024 | VLDB |
| 8 | 4,986 | Querying Graph Patterns | 2011 | PODS |
| 9 | 4,981 | A Trichotomy for Regular Simple Path Queries on Graphs | 2013 | PODS |
| 10 | 1,658 | Finding Regular Simple Paths in Graph Databases | 1989 | VLDB |