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- Balanced_matrix abstract "In mathematics, a balanced matrix B is a 0-1 matrix that does not contain any square submatrix of odd order having row and column sum equal to 2.Balanced matrices are important in linear programs such as the set partitioning problem, as they are naturally integer. 0-1 Totally unimodular matrices are a subset of balanced matrices, and balanced matrices are a subset of perfect matrices, therefore any matrix that is totally unimodular is also balanced, however a balanced matrix may not necessarily be totally unimodular.The following matrix is a 3 order 2-cycle forbidden submatrix:The following matrix is a balanced matrix as it does not contain the above nor any other odd order 2-cycle submatrix:The following matrix is a 5 order forbidden submatrix:".
- Balanced_matrix wikiPageID "27803326".
- Balanced_matrix wikiPageRevisionID "589507654".
- Balanced_matrix hasPhotoCollection Balanced_matrix.
- Balanced_matrix subject Category:Matrices.
- Balanced_matrix type Abstraction100002137.
- Balanced_matrix type Arrangement107938773.
- Balanced_matrix type Array107939382.
- Balanced_matrix type Group100031264.
- Balanced_matrix type Matrices.
- Balanced_matrix type Matrix108267640.
- Balanced_matrix comment "In mathematics, a balanced matrix B is a 0-1 matrix that does not contain any square submatrix of odd order having row and column sum equal to 2.Balanced matrices are important in linear programs such as the set partitioning problem, as they are naturally integer.".
- Balanced_matrix label "Balanced matrix".
- Balanced_matrix sameAs m.0cc58mg.
- Balanced_matrix sameAs Q4849993.
- Balanced_matrix sameAs Q4849993.
- Balanced_matrix sameAs Balanced_matrix.
- Balanced_matrix wasDerivedFrom Balanced_matrix?oldid=589507654.
- Balanced_matrix isPrimaryTopicOf Balanced_matrix.