On the inverse M-matrix problem for (0,1)-matrices |
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| Authors: | Mordechai Lewin Michael Neumann |
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| Institution: | Department of Mathematics The University of Nottingham Nottingham NG7 2RD, England;Department of Mathematics The Technion—Israel Institute of Technology Haifa, Israel;Department of Mathematics The University of Nottingham Nottingham NG7 2RD, England |
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| Abstract: | A graph-theoretic approach is used to characterize (0,1)-matrices which are inverses of M-matrices. Our main results show that a (0,1)-matrix is an inverse of an M-matrix if and only if its graph induces a partial order on its set of vertices and does not contain a certain specific subgraph. |
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