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Computational Geometry
Article . 2018 . Peer-reviewed
License: Elsevier Non-Commercial
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2017
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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The geodesic 2-center problem in a simple polygon

Authors: Oh, Eunjin; De Carufel, Jean-Lou; Ahn, Hee-Kap;

The geodesic 2-center problem in a simple polygon

Abstract

The geodesic $k$-center problem in a simple polygon with $n$ vertices consists in the following. Find a set $S$ of $k$ points in the polygon that minimizes the maximum geodesic distance from any point of the polygon to its closest point in $S$. In this paper, we focus on the case where $k=2$ and present an exact algorithm that returns a geodesic $2$-center in $O(n^2\log^2 n)$ time.

Related Organizations
Keywords

LINEAR-TIME ALGORITHMS, Computational Geometry (cs.CG), FOS: Computer and information sciences, Geodesic distance, Simple polygons, Computer Science - Computational Geometry, k-center problem

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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!
6
Top 10%
Average
Average
Green
bronze