Asymmetric polygons with maximum area

نویسندگان

  • Luis Barba
  • Luis Evaristo Caraballo
  • José Miguel Díaz-Báñez
  • Ruy Fabila Monroy
  • Edel Pérez-Castillo
چکیده

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.

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عنوان ژورنال:
  • European Journal of Operational Research

دوره 248  شماره 

صفحات  -

تاریخ انتشار 2016