On Finding Lekkerkerker-Boland Subgraphs

Published 7 Mar 2013 in cs.DM, cs.DS, and math.CO | (1303.1840v1)

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 matrices that do not have the consecutive-ones property. We give a linear-time algorithm to find one in any matrix that does not have the consecutive-ones property.

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