Abstract
We determine all Hermitian O Q ( d ) -matrices for which every eigenvalue is in the interval [ − 2 , 2 ] , for each d ∈ { − 2 , − 7 , − 11 , − 15 } . To do so, we generalise charged signed graphs to L -graphs for appropriate finite sets L , and classify all L -graphs satisfying the same eigenvalue constraints. We find that, as in the integer case, any such matrix/graph is contained in a maximal example with all eigenvalues ±2.
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