Convexity of Sub-polygons of Convex Polygons
| dc.creator | Pinelis, Iosif | |
| dc.date | 2006-09-25 | |
| dc.date.accessioned | 2026-07-07T07:25:13Z | |
| dc.date.available | 2026-07-07T07:25:13Z | |
| dc.description | A convex polygon is defined as a sequence (V_0,...,V_{n-1}) of points on a plane such that the union of the edges [V_0,V_1],..., [V_{n-2},V_{n-1}], [V_{n-1},V_0] coincides with the boundary of the convex hull of the set of vertices {V_0,...,V_{n-1}}. It is proved that all sub-polygons of any convex polygon with distinct vertices are convex. It is also proved that, if all sub-(n-1)-gons of an n-gon with n\ge5 are convex, then the n-gon is convex. Other related results are given. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/0609698 | |
| dc.identifier | http://arxiv.org/abs/math/0609698 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116646 | |
| dc.subject | General Mathematics | |
| dc.subject | Combinatorics | |
| dc.subject | Primary 51E12, 52A10; Secondary 52A37 | |
| dc.title | Convexity of Sub-polygons of Convex Polygons | |
| dc.type | text |