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 (Iowa State University)
- 2. Srikanta Tirthapura (Iowa State University)
BibTeX Citation
@inproceedings{xu_pods12,
address = {New York, NY, USA},
series = {{PODS} '12},
title = {{On the Optimality of Clustering Properties of Space Filling Curves}},
url = {https://dl.acm.org/doi/10.1145/2213556.2213587},
doi = {10.1145/2213556.2213587},
booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
publisher = {Association for Computing Machinery},
author = {Xu, Pan and Tirthapura, Srikanta},
year = {2012}
}
Incoming Citations (Sorted by Pagerank)
Showing 4 of 4 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 6,468 | QUILTS: Multidimensional Partitioning Framework Based on Query-Aware and Skew-Tolerant Space-Filling Curves | 2017 | SIGMOD | 5.7745756e-05 |
| 7,303 | Theoretically Optimal and Empirically Efficient R-trees with Strong Parallelizability | 2018 | VLDB | 5.5598057e-05 |
| 8,179 | Towards Designing and Learning Piecewise Space-Filling Curves | 2023 | VLDB | 5.3826446e-05 |
| 11,660 | Efficient Cost Modeling of Space-filling Curves | 2024 | VLDB | 4.9793485e-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 |
|---|---|---|---|---|
| 264 | A Class of Data Structures for Associative Searching | 1984 | PODS | 0.00022757762 |
| 2,794 | Multiattribute Hashing Using Gray Codes. | 1986 | SIGMOD | 8.0033879e-05 |
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