On maximal convex lattice polygons inscribed in a plane convex set |
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| Authors: | Imre Bárány Maria Prodromou |
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| Affiliation: | (1) Rényi Institute, Hungarian Academy of Sciences, POB 127, 1364 Budapest, Hungary;(2) Department of Mathematics, University College London, Gower Street, WC1E 6BT London, UK;(3) Department of Mathematics, University College London, Gower Street, WC1E 6BT London, UK |
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| Abstract: | Given a convex compact setK ? ?2 what is the largestn such thatK contains a convex latticen-gon? We answer this question asymptotically. It turns out that the maximaln is related to the largest affine perimeter that a convex set contained inK can have. This, in turn, gives a new characterization ofK 0, the convex set inK having maximal affine perimeter. |
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