Counting Solutions to Conjunctive Queries: Structural and Hybrid Tractability
Summary: Quantified-star-size with hypertree decompositions characterizes tractable counting only for bounded-arity simple CQs; in general it is insufficient. Introduce #-generalized hypertree decompositions yielding FPT preprocessing + polynomial-time counting for bounded #-ghw, and a hybrid method that leverages database constraints (keys/FDs) to expand tractable classes. (summarized by gpt-5-mini on Feb 09 2026)
Incoming Non-self Citations Over Time
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Incoming Citations (Sorted by Pagerank)
Showing 5 of 5 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 564 | FAQ: Questions Asked Frequently | 2016 | PODS | 0.00020002796 |
| 770 | Answering Conjunctive Queries under Updates | 2017 | PODS | 0.0001686092 |
| 1,322 | Hypertree Decompositions: Questions and Answers | 2016 | PODS | 0.00012595941 |
| 3,005 | Counting Answers to Existential Positive Queries: A Complexity Classification | 2016 | PODS | 7.7315492e-05 |
| 10,923 | Counting Answers to Unions of Conjunctive Queries: Natural Tractability Criteria and Meta-Complexity | 2024 | PODS | 4.1905499e-05 |
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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 |
|---|---|---|---|---|
| 623 | Generalized Hypertree Decompositions: NP-Hardness and Tractable Variants | 2007 | PODS | 0.00018976192 |
| 1,039 | Weighted Hypertree Decompositions and Optimal Query Plans | 2004 | PODS | 0.00014488271 |
| 2,007 | Robbers, Marshals, and Guards: Game Theoretic and Logical Characterizations of Hypertree Width | 2001 | PODS | 9.8123766e-05 |
| 3,115 | Processing Queries on Tree-Structured Data Efficiently | 2006 | PODS | 7.5414053e-05 |
| 7,464 | The Power of Tree Projections: Local Consistency, Greedy Algorithms, and Larger Islands of Tractability | 2010 | PODS | 4.7186999e-05 |
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| 6,996 | Tractable Lineages on Treelike Instances: Limits and Extensions | 2016 | PODS | 4.8629707e-05 |
| 8,850 | Efficient Approximations of Conjunctive Queries | 2012 | PODS | 4.4324268e-05 |
| 3,374 | On the Enumeration Complexity of Unions of Conjunctive Queries | 2019 | PODS | 7.1631303e-05 |
| 1,322 | Hypertree Decompositions: Questions and Answers | 2016 | PODS | 0.00012595941 |
| 2,804 | Hypertree Decompositions and Tractable Queries | 1999 | PODS | 8.1039107e-05 |
| 1,039 | Weighted Hypertree Decompositions and Optimal Query Plans | 2004 | PODS | 0.00014488271 |
| 770 | Answering Conjunctive Queries under Updates | 2017 | PODS | 0.0001686092 |
| 10,923 | Counting Answers to Unions of Conjunctive Queries: Natural Tractability Criteria and Meta-Complexity | 2024 | PODS | 4.1905499e-05 |
| 11,326 | The Complexity of Conjunctive Queries with Degree 2 | 2022 | PODS | 4.1905499e-05 |