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
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) (pp.90-103). SPRINGER-VERLAG BERLIN [10.1007/978-3-642-21458-5_10].
Tractability results for the consecutive-ones property with multiplicity
Patterson, Murray;
2011
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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