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On exact covering with unit disks
- Publication Year :
- 2024
-
Abstract
- We study the problem of covering a given point set in the plane by unit disks so that each point is covered exactly once. We prove that 17 points can always be exactly covered. On the other hand, we construct a set of 657 points where an exact cover is not possible.<br />Comment: 29 pages. An earlier version was submitted to EuroCG2024
- Subjects :
- Mathematics - Metric Geometry
52C15 (Primary), 52C05 (Secondary)
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2401.15821
- Document Type :
- Working Paper