Visibility Graphs and Oriented Matroids

被引：0

作者：

机构：

[1] Information Visualization Research,

[2] Shannon Laboratories,undefined

[3] AT&T Labs-Research,undefined

[4] 180 Park Avenue,undefined

[5] Florham Park,undefined

[6] NJ 07932,undefined

[7] USA abelloj@optonline.net,undefined

来源：

Discrete & Computational Geometry | 2002年 / 28卷

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摘要：

We describe a set of necessary conditions for a given graph to be the visibility graph of a simple polygon. For every graph satisfying these conditions we show that a uniform rank 3 oriented matroid can be constructed in polynomial time, which if affinely coordinatizable yields a simple polygon whose visibility graph is isomorphic to the given graph.

引用

页码：449 / 465

页数：16

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