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)
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Authors
- 1. Andreas Göbel
- 2. Leslie A. Goldberg
- 3. Marc Roth
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| 3,003 | Counting Answers to Existential Positive Queries: A Complexity Classification | 2016 | PODS | 7.7388586e-05 |
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