Width-diameter relations for planar convex sets with lattice point constraints

被引：1
|
作者：
Awyong, PW [1 ]
Scott, PR [1 ]
机构：
[1] UNIV ADELAIDE,DEPT PURE MATH,ADELAIDE,SA 5005,AUSTRALIA
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1996年 / 53卷 / 03期
关键词：
D O I：
10.1017/S0004972700017238
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain an inequality concerning the width and diameter of a planar convex set with interior containing no point of the rectangular lattice. We then use the result to obtain a corresponding inequality for a planar convex set with interior containing exactly two points of the integral lattice.
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页码：469 / 478
页数：10
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