Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9513125 | Discrete Mathematics | 2005 | 13 Pages |
Abstract
Let n be a positive integer and â¥Â·â¥ any norm in R2. Denote by B the unit ball of â¥Â·â¥ and PB,n the class of convex lattice polygons with n vertices and least â¥Â·â¥-perimeter. We prove that after suitable normalization, all members of PB,n tend to a fixed convex body, as nââ.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Maria N. Prodromou,