Peeling Sequences

Author:

Dumitrescu AdrianORCID

Abstract

Given an n-element point set in the plane, in how many ways can it be peeled off until no point remains? Only one extreme point can be removed at a time. The answer obviously depends on the point set. If the points are in convex position, there are exactly n! ways, which is the maximum number of ways for n points. But what is the minimum number?

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference9 articles.

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2. On the convex layers of a planar set;IEEE Trans. Inf. Theory,1985

3. Traub, J.F. (1976). Recent Results and New Directions in Algorithms and Complexity, Academic Press.

4. Shamos, M.I. (1978). Problems in Computational Geometry. [Ph.D. Thesis, Yale University].

5. Dynamic planar convex hull operations in near-logarithmic amortized time;J. ACM,2001

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Peeling Sequences;Discrete & Computational Geometry;2024-02-02

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