Tractability results for the consecutive-ones property with multiplicity

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Abstract

A binary matrix has the Consecutive-Ones Property (C1P) if its columns can be ordered in such a way that all 1's in each row are consecutive. We consider here a variant of the C1P where columns can appear multiple times in the ordering. Although the general problem of deciding the C1P with multiplicity is NP-complete, we present here a case of interest in comparative genomics that is tractable. © 2011 Springer-Verlag.

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Chauve, C., Maňuch, J., Patterson, M., & Wittler, R. (2011). Tractability results for the consecutive-ones property with multiplicity. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6661 LNCS, pp. 90–103). https://doi.org/10.1007/978-3-642-21458-5_10

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