Asymmetric polygons with maximum area

L. Barba, L.E. Caraballo, J.M. Díaz-Báñez, R. Fabila-Monroy and E. Pérez-Castillo

European Journal of Operational Research, 2016, vol. 248, issue 3, 1123-1131

Abstract: 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.

Keywords: Global optimization; Computational music theory; Combinatorial optimization; Musical rhythms; Algorithms (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:248:y:2016:i:3:p:1123-1131

DOI: 10.1016/j.ejor.2015.08.013

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