Stabbing Faces By a Convex Curve
Computational Geometry
2025-08-26 v1
Abstract
We prove that, for every plane graph and every smooth convex curve not on a single line, there exists a straight-line drawing of for which every face is crossed by .
Keywords
Cite
@article{arxiv.2508.17549,
title = {Stabbing Faces By a Convex Curve},
author = {David Eppstein},
journal= {arXiv preprint arXiv:2508.17549},
year = {2025}
}
Comments
10 pages, 7 figures. Full version (with appendix) of a paper to appear at the 33rd International Symposium on Graph Drawing and Network Visualization (GD 2025)