Circumradius-diameter and width-inradius relations for lattice constrained convex sets
1999 ◽
Vol 59
(1)
◽
pp. 147-152
◽
Keyword(s):
Let K be a planar, compact, convex set with circumradius R, diameter d, width w and inradius r, and containing no points of the integer lattice. We generalise inequalities concerning the ‘dual’ quantities (2R − d) and (w − 2r) to rectangular lattices. We then use these results to obtain corresponding inequalities for a planar convex set with two interior lattice points. Finally, we conjecture corresponding results for sets containing one interior lattice point.
1995 ◽
Vol 52
(1)
◽
pp. 137-151
◽
Keyword(s):
1998 ◽
Vol 58
(1)
◽
pp. 159-166
Keyword(s):
1985 ◽
Vol 28
(1)
◽
pp. 60-66
◽
Keyword(s):
1993 ◽
Vol 48
(1)
◽
pp. 47-53
Keyword(s):
1996 ◽
Vol 28
(02)
◽
pp. 384-393
◽
Keyword(s):
1985 ◽
Vol 17
(02)
◽
pp. 308-329
◽
Keyword(s):
1987 ◽
Vol 35
(2)
◽
pp. 267-274
◽
1996 ◽
Vol 54
(3)
◽
pp. 391-396
◽
Keyword(s):
Keyword(s):
1991 ◽
Vol 109
(2)
◽
pp. 351-361
◽