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arXiv · 2112.05962

Piercing Pairwise Intersecting Geodesic Disks by Five Points

A. Karim Abu-Affash·Paz Carmi·Meytal Maman
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Abstract

Given a simple polygon $P$ on $n$ vertices, and a set $D$ of $m$ pairwise intersecting geodesic disks in $P$, we show that five points in $P$ are always sufficient to pierce all the disks in $D$. This improves the previous bound of 14, obtained by Bose, Carmi, and Shermer.

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A. Karim Abu-Affash, Paz Carmi, Meytal Maman. 2021-12-11. Piercing Pairwise Intersecting Geodesic Disks by Five Points. https://arxiv.org/abs/2112.05962

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