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arXiv · 1401.0224

Linear-Time Algorithms for Finding Tucker Submatrices and Lekkerkerker-Boland Subgraphs

Nathan Lindzey·Ross M. McConnell
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Abstract

Lekkerkerker and Boland characterized the minimal forbidden induced subgraphs for the class of interval graphs. We give a linear-time algorithm to find one in any graph that is not an interval graph. 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 one in any binary matrix that does not have the consecutive-ones property.

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Nathan Lindzey, Ross M. McConnell. 2013-12-31. Linear-Time Algorithms for Finding Tucker Submatrices and Lekkerkerker-Boland Subgraphs. https://arxiv.org/abs/1401.0224

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