On the Optimality of Clustering Properties of Space Filling Curves
Summary: Characterizes the clustering number (average count of contiguous curve segments per query region) for a broad class of space‑filling curves and proves the first non‑trivial lower bounds on clustering. Resolves Jagadish's 1997 open problem on SFC optimality. (summarized by gpt-5-mini on Feb 09 2026)
Incoming Non-self Citations Over Time
Authors
- 1. Pan Xu
- 2. Srikanta Tirthapura
Incoming Citations (Sorted by Pagerank)
Showing 4 of 4 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 6,693 | QUILTS: Multidimensional Partitioning Framework Based on Query-Aware and Skew-Tolerant Space-Filling Curves | 2017 | SIGMOD | 4.9557363e-05 |
| 7,046 | Theoretically Optimal and Empirically Efficient R-trees with Strong Parallelizability | 2018 | VLDB | 4.8471584e-05 |
| 8,089 | Towards Designing and Learning Piecewise Space-Filling Curves | 2023 | VLDB | 4.5855593e-05 |
| 11,139 | Efficient Cost Modeling of Space-filling Curves | 2024 | VLDB | 4.1905499e-05 |
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Outgoing Citations (Sorted by Pagerank)
Showing 2 of 2 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 217 | A Class of Data Structures for Associative Searching | 1984 | PODS | 0.00033533621 |
| 2,481 | Multiattribute Hashing Using Gray Codes. | 1986 | SIGMOD | 8.6794604e-05 |
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