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Planar Drawings of Plane Graphs

机译:平面图的平面图

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摘要

Given a plane graph G, we wish to find a drawing of G in the plane such that the vertices of G are represented as grid points, and the edges are represented as straight-line segments between their endpoints without any edgc--intersection. Such drawings are called planar straight--line drawings of G. All additional objective is to minimize the area of the rectangular grid in which G is drawn. 1n this paper first we review known two methods to find such drawings, then explain a hidden relation between them, and finally survey related results.
机译:给定一个平面图G,我们希望找到一个在平面上绘制G的图形,以使G的顶点表示为网格点,并且将边缘表示为端点之间的直线段,而没有任何edgc-intersection。这样的图形称为G的平面直线图形。所有其他目的是最小化绘制G的矩形网格的面积。在本文中,我们首先回顾已知的两种方法来查找此类图形,然后解释它们之间的隐藏关系,最后对相关结果进行调查。

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