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Extraction Theorems With Small Extraction Numbers
November 27, 2024 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Arjun Agarwal, Sayan Bandyapadhyay
arXiv ID
2411.18655
Category
cs.CG: Computational Geometry
Cross-listed
cs.DS
Citations
0
Venue
arXiv.org
Last Checked
3 months ago
Abstract
In this work, we develop Extraction Theorems for classes of geometric objects with small extraction numbers. These classes include intervals, axis-parallel segments, axis-parallel rays, and octants. We investigate these classes of objects and prove small bounds on the extraction numbers. The tightness of these bounds is demonstrated by examples with matching lower bounds.
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