Symmetric and skew-symmetric {0,±1}-matrices with large determinants
Symmetric and skew-symmetric {0,±1}-matrices with large determinants
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具有大行列式的对称和斜对称 {0,±1}-矩阵
DOI：
10.1002/jcd.21567
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
Sho Suda
中科院分区：
文献类型：
--
作者：
Gary Greaves;Sho Suda
我们证明了具有最大可能行列式的矩阵的存在性等价于某些竞赛矩阵的存在性。特别是，我们证明了最近的猜想Armario。我们还表明，会议矩阵的大型子矩阵，由他们的频谱。
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.