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Stabbing Faces By a Convex Curve

Published: August 24, 2025 | arXiv ID: 2508.17549v1

By: David Eppstein

Potential Business Impact:

Draws pictures where every inside space is cut by a curve.

Business Areas:
GPU Hardware

We prove that, for every plane graph $G$ and every smooth convex curve $C$ not on a single line, there exists a straight-line drawing of $G$ for which every face is crossed by $C$.

Page Count
10 pages

Category
Computer Science:
Computational Geometry