在多项式时间内识别圆图

Csaba P. Gabor, W. Hsu, K. Supowit
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引用次数: 118

摘要

我们的主要结果是一个多项式时间算法,用于确定给定图是否是圆图,即一组弦在圆上的相交图。我们的算法利用了两个新的图论结果,关于既没有连接点也没有相似顶点对的图的必要诱导子图。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Recognizing circle graphs in polynomial time
Our main result is a polynomialtime algorithm for deciding whether a given graph is a circle graph, that is, the intersection graph of a set of chords on a circle. Our algorithm utilizes two new graph-theoretic results, regarding necessary induced subgraphs of graphs having neither articulation points nor similar pairs of vertices.
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