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arXiv · 2510.03832

Further analysis of Peeling Sequences

Dániel Gábor Simon
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Abstract

Let $P\subset \R^2$ be a set of $n$ points in general position. A peeling sequence of $P$ is a list of its points, such that if we remove the points from $P$ in that order, we always remove the next point from the convex hull of the remainder of $P$. Using the methodology of Dumitrescu and Tóth \cite{Dumitrescu}, with a more careful analysis, we improve the upper bound on the minimum number of peeling sequences for an $n$ point set in the plane from $12.29^n/100$ to $9.78^n/500$.

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Dániel Gábor Simon. 2026-04-26. Further analysis of Peeling Sequences. https://arxiv.org/abs/2510.03832

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