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arXiv · 1306.3482

Set-Difference Range Queries

David Eppstein·Michael T. Goodrich·Joseph A. Simons
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Abstract

We introduce the problem of performing set-difference range queries, where answers to queries are set-theoretic symmetric differences between sets of items in two geometric ranges. We describe a general framework for answering such queries based on a novel use of data-streaming sketches we call signed symmetric-difference sketches. We show that such sketches can be realized using invertible Bloom filters (IBFs), which can be composed, differenced, and searched so as to solve set-difference range queries in a wide range of scenarios.

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David Eppstein, Michael T. Goodrich, Joseph A. Simons. 2013-06-14. Set-Difference Range Queries. https://arxiv.org/abs/1306.3482

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