Recognizing Weakly Simple Polygons
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- DOI 10.4230/lipics.socg.2016.8
- OpenAlex ID W2762324796
- Type Preprint
- Language EN
- Published 01 Jan 2016
- Source arXiv (Cornell University)
- Publisher Cornell University
- Countries 2
- Institutions 4
- Added 10 Oct 2025
- Updated 14 Oct 2026
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Recognizing Weakly Simple Polygons
Preprint 2016 EN Green
We present an O(n log n)-time algorithm that determines whether a given planar n-gon is weakly simple. This improves upon an O(n^2 log n)-time algorithm by [Chang, Erickson, and Xu, SODA, 2015]. Weakly simple polygons are required as input for several geometric algorithms. As such, how to recognize simple or weakly simple polygons is a fundamental question.
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4 authors| # | Author | Institutions | ORCID |
|---|---|---|---|
| 1 | Hugo A. Akitaya | Tufts University (US) | |
| 2 | Greg Aloupis A | Tufts University (US) | — |
| 3 | Jeff Erickson | National Center for Supercompu… (BG) National Center for Supercompu… (US) | |
| 4 | Csaba D. Tóth | California State University, N… (US) |
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