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Peeling Sequences

Peeling sequences
Authors: Adrian Dumitrescu; Géza Tóth;

Peeling Sequences

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?

Country
Hungary
Keywords

FOS: Computer and information sciences, QA Mathematics / matematika, convexity, Discrete Mathematics (cs.DM), geometric construction, integer sequence, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Article, QA1-939, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Combinatorial complexity of geometric structures, integer sequence; convexity; geometric construction, Mathematics, recursive construction, Computer Science - Discrete Mathematics

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
gold