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On Maximal Convex Lattice Polygons Inscribed in a Plane Convex Set
| Content Provider | Semantic Scholar |
|---|---|
| Author | B~r~ny, Imre Prodromou, Maria N. |
| Copyright Year | 2007 |
| Abstract | Given a convex compac t set K C [~2 w h a t is the la rges t n such t h a t K conta ins a convex la t t ice n-gon? We answer th i s ques t ion asympto t ica l ly . I t t u rns out t h a t the max ima[ n is re la ted to the larges t affine pe r ime te r t h a t a convex set conta ined in K can have. This, in turn , gives a new charac te r iza t ion of /4o, the convex set in K hav ing max i ma l affine per imeter . 1. I n t r o d u c t i o n Assume K C R2 is a fixed convex body, t h a t is a convex compac t set w i th nonempty interior. Let Z 2 denote the (usual) l a t t i ce of integer po in ts and wr i te 1 2 This is a shrunken copy of Z 2 when t is large. A convex Z t l a t t i ce Zt = 7Z 9 * Supported by Hungarian National Foundation Grants T 046246 and T 037846. Received October 8, 2004 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.renyi.hu/~barany/cikkek/104.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Chlorpheniramine Maleate 4 MG / Phenylephrine Hydrochloride 10 MG Oral Tablet Convex set Hungarian language Integer (number) Ions Iontophoresis Lactic acid Linear algebra Maximal set Tellurium adenotonsillectomy gon (grade) |
| Content Type | Text |
| Resource Type | Article |
