Tractability Results for the Consecutive-Ones Property with Multiplicity

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.

• Type: Journal
• Year: 2011
• Where: CPM
• Authors: Cedric Chauve, Ján Manuch, Murray Patterson, Roland Wittler
• Keywords: Binary Matrix, Combinatorics, Comparative Genomics, CPM 2011, Multiplicity