Indexability of 2D Range Search Revisited: Constant Redundancy and Weak Indivisibility
Summary: Shows explicit external-memory lower bounds for 2D orthogonal range reporting with constant redundancy r, characterizing the query-time/storage tradeoff for every fixed r. Introduces "weak indivisibility" (bits may be split across blocks but must be retrievable) and gives nearly-tight matching upper bounds. (summarized by gpt-5-mini on Feb 09 2026)
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Authors
- 1. Yufei Tao
Incoming Citations (Sorted by Pagerank)
Showing 1 of 1 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 7,845 | On Top-k Range Reporting in 2D Space | 2015 | PODS | 4.6365341e-05 |
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Outgoing Citations (Sorted by Pagerank)
Showing 7 of 7 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 |
| 5 | The K-D-B-Tree: A Search Structure for Large Multidimensional Dynamic Indexes | 1981 | SIGMOD | 0.0018397217 |
| 6 | The R*-tree: An Efficient and Robust Access Method for Points and Rectangles | 1990 | SIGMOD | 0.0016162015 |
| 1,182 | On Two-Dimensional Indexability and Optimal Range Search Indexing (Extended Abstract) | 1999 | PODS | 0.00013455963 |
| 1,488 | On the Analysis of Indexing Schemes | 1997 | PODS | 0.00011699446 |
| 3,900 | Tight bounds for 2-dimensional indexing schemes | 1998 | PODS | 6.6518011e-05 |
| 5,013 | A Lower Bound Theorem for Indexing Schemes and its Application to Multidimensional Range Queries | 1998 | PODS | 5.7598528e-05 |
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