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Determinants of matrices of the conference type

✍ Scribed by Frans Bussemaker; Irving Kaplansky; Brendan McKay; Jacob Seidel

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 1018 KB
Volume: 261
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(96)00412-0

No coin nor oath required. For personal study only.

✦ Synopsis

An n by n conference type matrix has O's on the main diagonal and +1's elsewhere.

We investigate the largest possible determinant of such a matrix. The literature is extensive for n even, but for n odd the question has not been previously studied. We determine the maxima up to n = 11: for n = 3, 5, 7, 9, 11 they are 2, 22,

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