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Corrigendum to ‘Asymmetric polygons with maximum area’ [European Journal of Operational Research 248(3) (2016) 1123–1131] (S0377221715007304) (10.1016/j.ejor.2015.08.013))

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 :

The authors regret an incorrect remark claimed in the introduction of our paper. We mentioned in the introduction that the clave son, which can be represented by the pentagon codified as < 3, 3, 4, 2, 4 > is a lattice pentagon of maximum area without antipodal vertices. This is however not true as any permutation of < 3, 3, 3, 3, 4 > corresponds to an asymmetric polygon with maxima area. Indeed, later in this paper (Theorem 2.4), we prove this by providing a complete characterization of circular sequences that correspond to such maximal polygons. We regret this misleading remark, and apologize for any inconvenience caused. We would like to express our gratitude to Godfried T.Toussaint for pointing out this oversight.