Symmetric and skew-symmetric $\{0,\pm 1\}$-matrices with large determinants
Combinatorics
2017-07-18 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1601.02769,
title = {Symmetric and skew-symmetric $\{0,\pm 1\}$-matrices with large determinants},
author = {Gary Greaves and Sho Suda},
journal= {arXiv preprint arXiv:1601.02769},
year = {2017}
}
Comments
14 pages