A catalog of minimally nonideal matrices

This paper describes a backtracking algorithm for the enumeration of nonisomorphic minimally nonideal (n2n) matrices that are not degenerate projective planes. The application of this algorithm for nh12 yielded 20 such matrices, adding 5 matrices to the 15 previously known. For greater dimensions, n=14 and n=17, 13 new matrices are given. For nonsquare matrices, 38 new minimally nonideal matrices are described.


Published in:
Mathematical Methods of Operations Research, 47, 2, 221-241
Year:
1998
Note:
PRO 98.03
Laboratories:




 Record created 2006-02-13, last modified 2018-01-27

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