Convex (0,1)-matrices and their epitopes
We investigate (0,1)-matrices that are convex, which means that the ones are consecutive in every row and column. These matrices occur in discrete tomography. The notion of ranked essential sets, known for permutation matrices, is extended to convex sets. We show a number of results for the class C(...
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| Veröffentlicht in: | Discrete Applied Mathematics 2021-07, Vol.297, p.21-34 |
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| container_title | Discrete Applied Mathematics |
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| creator | Brualdi, Richard A. Dahl, Geir |
| description | We investigate (0,1)-matrices that are convex, which means that the ones are consecutive in every row and column. These matrices occur in discrete tomography. The notion of ranked essential sets, known for permutation matrices, is extended to convex sets. We show a number of results for the class C(R,S) of convex matrices with given row and column sum vectors R and S. Also, it is shown that the ranked essential set uniquely determines a matrix in C(R,S). |
| doi_str_mv | 10.1016/j.dam.2021.02.038 |
| format | Article |
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| ispartof | Discrete Applied Mathematics, 2021-07, Vol.297, p.21-34 |
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| language | eng |
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| subjects | Convexity Essential set Mathematical analysis Matrix methods Permutation matrix Permutations Polyomino Zero-one matrix |
| title | Convex (0,1)-matrices and their epitopes |
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