A Bouquet of Results on Maximum Range Sum: General Techniques and Hardness Reductions
Summary: Revisits MaxRS for d-balls and gives three main results: (i) first dynamic MaxRS with randomized (1/2−ε)-approx and O_ε(log n) updates; (ii) Ω(mn) conditional lower bound for batched 1D via (min,+)-convolution; (iii) colored MaxRS algorithms: randomized (1/2−ε) in R^d and (1−ε) in R^2, both O_ε(n log n). Techniques: a volume-based randomized game yields (1/2−ε) approximations, and an output-sensitive exact algorithm plus color-sampling yields (1−ε); reductions give near-tight lower bounds. (summarized by gpt-5-mini on Feb 11 2026)
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Authors
- 1. Rachana Gusain (Indian Institute of Science)
- 2. Saladi Rahul (Indian Institute of Science)
- 3. Aditya Subramanian (Indian Institute of Science)
BibTeX Citation
@inproceedings{gusain_pods26,
address = {New York, NY, USA},
series = {{PODS} '26},
title = {{A Bouquet of Results on Maximum Range Sum: General Techniques and Hardness Reductions}},
url = {https://dl.acm.org/doi/10.1145/3767709},
doi = {10.1145/3767709},
booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
publisher = {Association for Computing Machinery},
author = {Gusain, Rachana and Rahul, Saladi and Subramanian, Aditya},
year = {2026}
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| Rank | Citing Paper | Year | Venue | Pagerank |
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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 |
|---|---|---|---|---|
| 3,024 | A Scalable Algorithm for Maximizing Range Sum in Spatial Databases | 2012 | VLDB | 7.8388143e-05 |
| 3,700 | Approximate MaxRS in Spatial Databases | 2013 | VLDB | 7.1861452e-05 |
| 6,160 | New Results on Two-dimensional Orthogonal Range Aggregation in External Memory | 2011 | PODS | 5.9538639e-05 |
| 6,683 | Efficient Algorithms for Optimal Location Queries in Road Networks | 2014 | SIGMOD | 5.8037274e-05 |
| 7,188 | Retrieving Regions of Interest for User Exploration | 2014 | VLDB | 5.6776255e-05 |
| 7,600 | Towards Best Region Search for Data Exploration | 2016 | SIGMOD | 5.5867987e-05 |
| 8,740 | Finding Attribute-aware Similar Regions for Data Analysis | 2019 | VLDB | 5.3766157e-05 |
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