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Asymmetric polygons with maximum area
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DOI：10.1016/j.ejor.2015.08.013.png)
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摘要
En 中文
We say that a polygon inscribed in the circle is asymmetric if it contains no two antipodal points being the endpoints of a diameter. Given n diameters of a circle and a positive integer k < n, this paper addresses the problem of computing a maximum area asymmetric k-gon having as vertices k < n endpoints of the given diameters. The study of this type of polygons is motivated by ethnomusiciological applications. (C) 2015 Published by Elsevier B.V.
Keyword:
Global optimization
Computational music theory
Combinatorial optimization
Musical rhythms
Algorithms
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IF:
6
论文数:
2.2W
被引数:
6.4W
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