Symmetric and skew-symmetric \{0,pm 1\}-matrices with large determinants
classification
🧮 math.CO
keywords
matricesexistencelargearmariocertainconferenceconjecturedeterminant
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We show that the existence of $\{\pm 1\}$-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.
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