Approximation and fixed-parameter algorithms for consecutive ones submatrix problems
نویسندگان
چکیده
منابع مشابه
Approximation and fixed-parameter algorithms for consecutive ones submatrix problems
We develop an algorithmically useful refinement of a forbidden submatrix characterization of 0/1-matrices fulfilling the Consecutive Ones Property (C1P). This characterization finds applications in new polynomial-time approximation algorithms and fixed-parameter tractability results for the NP-hard problem to delete a minimum number of rows or columns from a 0/1-matrix such that the remaining s...
متن کاملFixed-Parameter Tractability of the Simultaneous Consecutive Ones Submatrix & Editing Problems
A binary matrix has the consecutive ones property (C1P ) for rows (columns) if there is a permutation of its columns (rows) that arranges the ones consecutively in all the rows (columns). A binary matrix has the simultaneous consecutive ones property (SC1P ) if it has both the C1P for rows and columns. We consider the following two categories of problems: Simultaneous Consecutive Ones Submatrix...
متن کاملApproximability and Parameterized Complexity of Consecutive Ones Submatrix Problems
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 proble...
متن کاملApproximation Algorithms for the Consecutive Ones Submatrix Problem on Sparse Matrices
A 0-1 matrix has the Consecutive Ones Property (C1P) if there is a permutation of its columns that leaves the 1’s consecutive in each row. The Consecutive Ones Submatrix (COS) problem is, given a 0-1 matrix A, to find the largest number of columns of A that form a submatrix with the C1P property. Such a problem has potential applications in physical mapping with hybridization data. This paper p...
متن کاملA note on the Consecutive Ones Submatrix problem
A binary matrix has the Consecutive Ones Property (C1P) for columns if there exists a permutation of its rows that leaves the 1’s consecutive in every column. The problem of Consecutive Ones Property for a matrix is a special variant of Consecutive Ones Submatrix problem in which a positive integer K is given and we want to know if there exists a submatrix B of A consisting of K columns of A wi...
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ژورنال
عنوان ژورنال: Journal of Computer and System Sciences
سال: 2010
ISSN: 0022-0000
DOI: 10.1016/j.jcss.2009.07.001