On Preservation under Homomorphisms and Unions of Conjunctive Queries
Summary: Shows that first-order formulas preserved under homomorphisms on finite structures are equivalent to existential-positive (i.e., unions of conjunctive) formulas for many natural classes. Specifically proves the finite homomorphism-preservation theorem for classes of bounded degree, bounded treewidth, and more generally classes whose cores exclude some minor. (summarized by gpt-5-mini on Feb 09 2026)
Incoming Non-self Citations Over Time
Authors
- 1. Albert Atserias
- 2. Anuj Dawar
- 3. Phokion G. Kolaitis
Incoming Citations (Sorted by Pagerank)
Showing 5 of 5 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 2,562 | Explaining Missing Answers to SPJUA Queries | 2010 | VLDB | 8.5386194e-05 |
| 5,494 | Incomplete Data: What Went Wrong, and How to Fix It | 2014 | PODS | 5.4759469e-05 |
| 6,858 | When is Naive Evaluation Possible? | 2013 | PODS | 4.9060157e-05 |
| 10,343 | Circuit Bounds for Conjunctive Queries with Self-joins | 2025 | PODS | 4.1945683e-05 |
| 11,333 | LACE: A Logical Approach to Collective Entity Resolution | 2022 | PODS | 4.1945683e-05 |
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Outgoing Citations (Sorted by Pagerank)
Showing 3 of 3 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 407 | Conjunctive-Query Containment and Constraint Satisfaction | 1998 | PODS | 0.00024004562 |
| 494 | Data Exchange: Getting to the Core | 2003 | PODS | 0.00021805832 |
| 1,122 | Bottom-Up Beats Top-Down For Datalog | 1989 | PODS | 0.0001385042 |
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Semantically Similar Papers
| Overall Rank | Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 4,346 | Languages for Relational Databases over Interpreted Structures | 1997 | PODS | 6.2725564e-05 |
| 3,784 | Linear vs. Order Constraint Queries Over Rational Databases (Extended Abstract) | 1996 | PODS | 6.7697677e-05 |
| 6,382 | Finite Queries do not Have Effective Syntax | 1995 | PODS | 5.0890445e-05 |
| 407 | Conjunctive-Query Containment and Constraint Satisfaction | 1998 | PODS | 0.00024004562 |
| 6,274 | Classification of Annotation Semirings over Query Containment | 2012 | PODS | 5.1321227e-05 |
| 11,157 | Extremal Fitting Problems for Conjunctive Queries | 2023 | PODS | 4.1945683e-05 |
| 4,379 | Safe Constraint Queries | 1998 | PODS | 6.2397591e-05 |
| 3,003 | Counting Answers to Existential Positive Queries: A Complexity Classification | 2016 | PODS | 7.7388586e-05 |
| 1,649 | Finitely Representable Databases | 1994 | PODS | 0.00011017687 |
| 11,638 | Testability of Homomorphism Inadmissibility: Property Testing Meets Database Theory | 2019 | PODS | 4.1945683e-05 |