A catalog of minimally nonideal matrices |
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| Authors: | Christine Lütolf François Margot |
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| Institution: | (1) Swiss Federal Institute of Technology, CH-1015 Lausanne, Switzerland;(2) Michigan Technological University, 49931-1295 Houghton, MI, USA |
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| Abstract: | This paper describes a backtracking algorithm for the enumeration of nonisomorphic minimally nonideal (n ×n) matrices that are not degenerate projective planes. The application of this algorithm forn  12 yielded 20 such matrices, adding 5 matrices to the 15 previously known. For greater dimensions,n = 14 andn = 17, 13 new matrices are given. For nonsquare matrices, 38 new minimally nonindeal matrices are described.Research supported by FNRS grant. Switzerland, while visiting Carnegie Mellon University, Pittsburgh, PA 15213. |
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| Keywords: | nonideal matrices backtracking |
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