论文标题

正常单位多边形最多可以守护$ \ lfloor \ frac {n-4} {8} {8} \ rfloor $ guards

Ortho-unit polygons can be guarded with at most $\lfloor \frac{n-4}{8} \rfloor$ guards

论文作者

Díaz-Báñez, J. M., Horn, P., Lopez, M. A., Marín, N., Ramírez-Vigueras, A., Solé-Pi, O., Stevens, A., Urrutia, J.

论文摘要

如果其顶点具有整数坐标,则称为正交多边形,而其所有边缘的长度为1。在本文中,我们证明了任何具有$ n \ geq 12 $顶点的矫正单元多边形最多可以守护$ \ lfloor \ frac {n-4} {8} {8} \ rfloor $ guards,这是一个紧密绑定的。

An orthogonal polygon is called an ortho-unit polygon if its vertices have integer coordinates, and all of its edges have length one. In this paper we prove that any ortho-unit polygon with $n \geq 12$ vertices can be guarded with at most $\lfloor \frac{n-4}{8} \rfloor$ guards, which is a tight bound.

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