On the consecutive ones property
Discrete Applied Mathematics - Special volume on computational molecular biology DAM-CMB series volume 2
Some optimal inapproximability results
Journal of the ACM (JACM)
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
A simple test for the consecutive ones property
Journal of Algorithms
A note on the consecutive ones submatrix problem
Information Processing Letters
PC trees and circular-ones arrangements
Theoretical Computer Science - Computing and combinatorics
A certifying algorithm for the consecutive-ones property
SODA '04 Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
Parameterized Complexity Theory (Texts in Theoretical Computer Science. An EATCS Series)
Parameterized Complexity Theory (Texts in Theoretical Computer Science. An EATCS Series)
Approximation algorithms for the consecutive ones submatrix problem on sparse matrices
ISAAC'04 Proceedings of the 15th international conference on Algorithms and Computation
Parameterized Complexity
Red-blue covering problems and the consecutive ones property
Journal of Discrete Algorithms
Approximation and fixed-parameter algorithms for consecutive ones submatrix problems
Journal of Computer and System Sciences
Hardness results on the gapped consecutive-ones property problem
Discrete Applied Mathematics
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We develop a refinement of a forbidden submatrix characterization of 0/1-matrices fulfilling the Consecutive Ones Property (C1P). This novel characterization finds applications in new polynomial-time approximation algorithms and fixed-parameter tractability results for the problem to find a maximum-size submatrix of a 0/1-matrix such that the submatrix has the C1P. Moreover, we achieve a problem kernelization based on simple data reduction rules and provide several search tree algorithms. Finally, we derive inapproximability results.