Eigenvalues of symmetric matrices and graphs

DOI10.1006/jabr.1994.1244zbMath0826.15006OpenAlexW2099032659WikidataQ105596616 ScholiaQ105596616MaRDI QIDQ1335085

Dennis R. Estes, Hyman Bass, Robert M. Guralnick

Publication date: 27 September 1994

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1994.1244

zbMATH Keywords

eigenvalueadjacency matrixsymmetric matrixregular graphintegral domainsDedekind domainstotally real integral element

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (10)

Eigenvalues of symmetric matrices over integral domains ⋮ Generalized Lucas graphs ⋮ Self-adjoint operators on inner product spaces over fields of power series ⋮ Singular graphs with dihedral group action ⋮ Every totally real algebraic integer is a tree eigenvalue ⋮ Minimal dimension of symmetric or skew-symmetric matrices of given minimal polynomial ⋮ Characteristic polynomials of symmetric matrices over the univariate polynomial ring ⋮ Minimal and characteristic polynomials of symmetric matrices in characteristic two ⋮ Dimensions des matrices antisymétriques de polynôme minimal donné ⋮ Minimal polynomials of integral symmetric matrices

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