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A simple parallel algorithm to draw cubic graphs

机译:绘制三次方图的简单并行算法

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摘要

The main contribution of this work is to offer a simple and cost-efficient parallel algorithm that, given an arbitrary n-vertex cubic graph G as input, produces an orthogonal grid drawing of G in O(log n) time, using n processors on an EREW PRAM. Our algorithm matches the time and cost performance of the best previously-known algorithm while at the same time improving the constant factors involved in two important metrics: layout area and number of bends. More importantly, however, our algorithm stands out by its conceptual simplicity and ease of implementation.
机译:这项工作的主要贡献是提供了一种简单且具有成本效益的并行算法,该算法在输入任意n个顶点三次方图G的情况下,使用n个处理器在O(log n)时间内生成G的正交网格图。 EREW PRAM。我们的算法在时间和成本上都与以前最好的算法相匹配,同时改善了两个重要指标中涉及的常数:布局面积和折弯数量。但是,更重要的是,我们的算法在概念上的简单性和易于实现方面引人注目。

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