Symmetric and Skew-Symmetric {0,±1}-Matrices with Large Determinants
Gary R. W. Greaves, Sho Suda · Journal of Combinatorial Designs · 2017
We show that the existence of -matrices having largest possible determinant is equivalent to the existence of certain tournament matrices. In particular, we prove a recent conjecture of Armario. We also show that large submatrices of conference matrices are determined by their spectrum.