Highly Influenced

# The Maximum Determinant of (1)-matrices

@inproceedings{Neubauer1995TheMD, title={The Maximum Determinant of (1)-matrices}, author={Grzegorz Neubauer}, year={1995} }

- Published 1995

We give a new proof for the bound on the value of the determinant of a (1)-matrix of dimension n 1 (mod 4) rst given in Ba]. Adapting a construction of A.E. Brouwer we give examples to show that the bound is sharp for innnitely many values of n. This in turn gives an innnite family of examples which attain the bound given by H. Ehlich ((Eh1]) and M. Wojtas ((Wo]) for the determinant of a (1)-matrix of dimension n 2 (mod 4). For n 3 (mod 4) we construct an innnite family of examples which attain… CONTINUE READING