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首页> 外文期刊>SIAM Journal on Discrete Mathematics >LINEAR-TIME ALGORITHMS FOR FINDING TUCKER SUBMATRICES AND LEKKERKERKER-BOLAND SUBGRAPHS
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LINEAR-TIME ALGORITHMS FOR FINDING TUCKER SUBMATRICES AND LEKKERKERKER-BOLAND SUBGRAPHS

机译:线性时间算法,用于查找塔克子类别和莱克克克博兰德子图

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摘要

Tucker characterized the minimal forbidden submatrices of binary matrices that do not have the consecutive-ones property. We give a linear-time algorithm to find such a minimal one in any binary matrix that does not have the consecutive-ones property. Lekkerkerker and Boland characterized the minimal forbidden induced subgraphs for the class of interval graphs. We give a linear-time algorithm to find such a minimal one in any graph that is not an interval graph.
机译:Tucker刻画了不具有连续一的属性的二进制矩阵的最小禁止子矩阵。我们给出了一种线性时间算法,以在任何不具有连续一的性质的二进制矩阵中找到这样的最小值。 Lekkerkerker和Boland对间隔图类的最小禁止诱导子图进行了描述。我们给出了一种线性时间算法,以在不是间隔图的任何图中找到这样的最小值。

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