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Circumradius-diameter and width-inradius relations for lattice constrained convex sets
Published online by Cambridge University Press: 17 April 2009
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 (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.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 59 , Issue 1 , February 1999 , pp. 147 - 152
- Copyright
- Copyright © Australian Mathematical Society 1999
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