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arXiv · 1305.6693

Drawing the double circle on a grid of minimum size

Sergey Bereg·Ruy Fabila-Monroy·David Flores-Peñaloza·Mario Lopez·Pablo Pérez-Lantero
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Abstract

In 1926, Jarník introduced the problem of drawing a convex $n$-gon with vertices having integer coordinates. He constructed such a drawing in the grid $[1,c\cdot n^{3/2}]^2$ for some constant $c>0$, and showed that this grid size is optimal up to a constant factor. We consider the analogous problem for drawing the double circle, and prove that it can be done within the same grid size. Moreover, we give an O(n)-time algorithm to construct such a point set.

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Sergey Bereg, Ruy Fabila-Monroy, David Flores-Peñaloza, Mario Lopez, Pablo Pérez-Lantero. 2013-05-29. Drawing the double circle on a grid of minimum size. https://arxiv.org/abs/1305.6693

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