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Matrices with permanent equal to one |
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| Authors: | Victor A. Nicholson |
| Affiliation: | Department of Mathematics Kent State University Kent, Ohio 44242 USA |
| Abstract: | We show that a nonnegative square matrix M is nilpotent if and only if the permanent of M + I is one. We also show that a 2-complex obtained by sewing disks to a wedge of circles is collapsible if and only if its incidence matrix has permanent one. |
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