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The Weisfeiler-Leman Dimension of Conjunctive Queries

Summary: Characterizes the WL-dimension of the answer-count function for any conjunctive query φ as sew(φ), a new semantic extension width combining the Gaifman treewidth and quantified-star-size. Extends full-CQ results and implies GNNs (via WL) need order ≥ sew(φ) to compute counts. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID
1949
Venue
PODS
Year
2024
Pagerank
5.093636e-05
Overall Rank
11,126 | 23.67%
DOI
10.1145/3651587

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BibTeX Citation

@inproceedings{gobel_pods24,
        address = {New York, NY, USA},
        series = {{PODS} '24},
        title = {{The Weisfeiler-Leman Dimension of Conjunctive Queries}},
        url = {https://dl.acm.org/doi/10.1145/3651587},
        doi = {10.1145/3651587},
        booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
        publisher = {Association for Computing Machinery},
        author = {Göbel, Andreas and Goldberg, Leslie A. and Roth, Marc},
        year = {2024}
}

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Rank Cited Paper Year Venue Pagerank
4,266 Counting Answers to Existential Positive Queries: A Complexity Classification 2016 PODS 6.7936492e-05
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