Efficient Reverse k-Nearest Neighbor Search in Arbitrary Metric Spaces
Summary: First approach for efficient reverse k-nearest neighbor search in arbitrary metric spaces with k specified at query time. Leverages existing metric indexes with conservative and progressive distance bounds using two-parameter upper/lower functions, no extra storage, and shows scalable real-world performance. (summarized by gpt-5-nano on Feb 09 2026)
Incoming Non-self Citations Over Time
Authors
- 1. Elke Achtert
- 2. Christian Bohm
- 3. Peer Kroeger
- 4. Peter Kunath
- 5. Alexey Pryakhin
- 6. Matthias Renz
Incoming Citations (Sorted by Pagerank)
Showing 8 of 8 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 2,247 | On Efficient Spatial Matching | 2007 | VLDB | 9.2048219e-05 |
| 2,454 | Efficient Computation of Reverse Skyline Queries | 2007 | VLDB | 8.778281e-05 |
| 4,960 | Reverse Spatial and Textual k Nearest Neighbor Search | 2011 | SIGMOD | 5.7987607e-05 |
| 6,045 | FINCH: Evaluating Reverse k-Nearest-Neighbor Queries on Location Data | 2008 | VLDB | 5.2372658e-05 |
| 9,025 | Dimensional Testing for Reverse k-Nearest Neighbor Search | 2017 | VLDB | 4.4072367e-05 |
| 11,904 | Indexing Metric Uncertain Data for Range Queries | 2015 | SIGMOD | 4.1945683e-05 |
| 12,227 | K-Nearest Neighbor Search for Fuzzy Objects | 2010 | SIGMOD | 4.1945683e-05 |
| 12,268 | Efficient RkNN Retrieval with Arbitrary Non-Metric Similarity Measures | 2010 | VLDB | 4.1945683e-05 |
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Outgoing Citations (Sorted by Pagerank)
Showing 6 of 6 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 2 | R-Trees: A Dynamic Index Structure For Spatial Searching | 1984 | SIGMOD | 0.0032169493 |
| 6 | The R*-tree: An Efficient and Robust Access Method for Points and Rectangles | 1990 | SIGMOD | 0.0016162015 |
| 91 | M-tree: An Efficient Access Method for Similarity Search in Metric Spaces | 1997 | VLDB | 0.0005181666 |
| 129 | The X-tree: An Index Structure for High-Dimensional Data | 1996 | VLDB | 0.0004429571 |
| 601 | Influence Sets Based on Reverse Nearest Neighbor Queries | 2000 | SIGMOD | 0.00019375875 |
| 1,933 | Reverse kNN Search in Arbitrary Dimensionality | 2004 | VLDB | 0.00010038508 |
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