Determinants of $(-1,1)$-matrices of the skew-symmetric type: a cocyclic approach

V. Álvarez, J. A. Armario, M. D. Frau +1

An $n$ by $n$ skew-symmetric type $(-1,1)$-matrix $K=[k_{i,j}]$ has $1$'s on the main diagonal and $\pm 1$'s elsewhere with $k_{i,j}=-k_{j,i}$. The largest possible determinant of…