Spectra of Boolean Graphs Over Finite Fields of Characteristic Two

With entries of the adjacency matrix of a simple graph being regarded as elements of  $\mathbb{F}_{2}$ , it is proved that a finite commutative ring $R$ with $1\neq 0$ is a Boolean ring if and only if either $R\in \{\mathbb{F}_{2},\mathbb{F}_{2}\times \mathbb{F}_{2}\}$ or the eigenvalues (in the alg...

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Bibliographic Details

Published in:	Canadian mathematical bulletin Vol. 63; no. 1; pp. 58 - 65
Main Authors:	Dillery, D. Scott, LaGrange, John D.
Format:	Journal Article
Language:	English
Published:	Montreal Cambridge University Press 01.03.2020
Subjects:	Algebra Boolean Boolean algebra Commutativity Eigenvalues Fields (mathematics) Mathematics Number theory Rings (mathematics)
ISSN:	0008-4395, 1496-4287
Online Access:	Get full text
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