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Circumradius-diameter and width-inradius relations for lattice constrained convex sets
| Content Provider | Semantic Scholar |
|---|---|
| Author | Awyong, Poh Wah Scott, Paul Robert |
| Copyright Year | 1999 |
| Abstract | 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 (2 R − d ) and ( w − 2 r ) 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. |
| Starting Page | 147 |
| Ending Page | 152 |
| Page Count | 6 |
| File Format | PDF HTM / HTML |
| DOI | 10.1017/S0004972700032706 |
| Alternate Webpage(s) | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/7FBFE53E9ADEE9BA6D5E69F9DD18D5FA/S0004972700032706a.pdf/circumradiusdiameter_and_widthinradius_relations_for_lattice_constrained_convex_sets.pdf |
| Alternate Webpage(s) | https://doi.org/10.1017/S0004972700032706 |
| Volume Number | 59 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
