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Spatial Join Selectivity Using Power Laws

Summary: Power-law spatial join selectivity for point sets; defines pair-count exponent (PC) for cross- and self-joins. Introduces the Box-Occupancy-Product-Sum (BOPS) plot to estimate PC in linear time and selectivity in O(1) with ~30% error (10% for the quadratic method) across diverse datasets. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID
3183
Venue
SIGMOD
Year
2000
Pagerank
5.1753664e-05
Overall Rank
6,161 | 57.14%
DOI
-

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Incoming Citations (Sorted by Pagerank)

Showing 4 of 4 citing papers.

Rank Citing Paper Year Venue Pagerank
3,543 Approximation Techniques for Spatial Data 2004 SIGMOD 6.9917053e-05
4,873 Power-Law Based Estimation of Set Similarity Join Size 2009 VLDB 5.8602304e-05
5,960 Skew-Aware Join Optimization for Array Databases 2015 SIGMOD 5.2559595e-05
7,827 Containment Join Size Estimation: Models and Methods 2003 SIGMOD 4.6411831e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 19 of 19 cited papers.

Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.

Rank Cited Paper Year Venue Pagerank
1 Access Path Selection in a Relational Database Management System 1979 SIGMOD 0.0040449103
18 On Random Sampling over Joins 1999 SIGMOD 0.00092385438
27 Efficient and Effective Clustering Methods for Spatial Data Mining 1994 VLDB 0.00080736878
65 Fast Subsequence Matching in Time-Series Databases 1994 SIGMOD 0.00062029383
76 Spatial Query Processing in an Object-Oriented Database System 1986 SIGMOD 0.00057303551
148 Efficient Processing of Spatial Joins Using R-trees 1993 SIGMOD 0.00041182766
152 An Evaluation of Non-Equijoin Algorithms 1991 VLDB 0.00040963225
273 Approximate Computation of Multidimensional Aggregates of Sparse Data Using Wavelets 1999 SIGMOD 0.00029390945
925 Partition Based Spatial-Merge Join 1996 SIGMOD 0.00015264328
1,114 Beyond Uniformity and Independence : Analysis of R-trees Using the Concept of Fractal Dimension 1994 PODS 0.00013901031
1,528 A Model for the Prediction of R-tree Performance 1996 PODS 0.00011497734
1,695 Combining Histograms and Parametric Curve Fitting for Feedback-Driven Query Result-Size Estimation 1999 VLDB 0.00010882793
2,094 Scalable Sweeping-Based Spatial Join 1998 VLDB 9.5547223e-05
2,672 Spatial Joins Using Seeded Trees 1994 SIGMOD 8.3363695e-05
2,974 Estimating the Selectivity of Spatial Queries Using the 'Correlation' Fractal Dimension 1995 VLDB 7.789769e-05
3,457 Size Separation Spatial Join 1997 SIGMOD 7.0755358e-05
4,529 Integration of Spatial Join Algorithms for Processing Multiple Inputs 1999 SIGMOD 6.1078661e-05
4,612 Filter Trees for Managing Spatial Data Over a Range of Size Granularities 1996 VLDB 6.0484423e-05
7,729 Processing and Optimization of Multiway Spatial Joins Using R-trees 1999 PODS 4.6660821e-05
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