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Asymmetric polygons with maximum area

par Barba Flores, Luis ;Caraballo, Luis Evaristo;Díaz-Báñez, José Miguel;Fabila-Monroy, Ruy;Pérez-Castillo, Edel
Référence European journal of operational research, 248, 3, page (1123-1131)
Publication Publié, 2016-02

Article révisé par les pairs

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Résumé :

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.