We show how to test in linear time whether an outerplanar graph admits a planar rectilinear drawing, both if the graph has a prescribed plane embedding that the drawing has to respect and if it does not. Our algorithm returns a planar rectilinear drawing if the graph admits one.

中文翻译：

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线性时间外平面图的平面直线图

我们展示了如何在线性时间内测试外平面图是否允许平面直线绘图，无论图形是否具有绘图必须遵守的规定平面嵌入，否则。如果图形允许，我们的算法返回平面直线图。