Every totally real algebraic integer is a tree eigenvalue

DOI10.1016/j.jctb.2014.09.001zbMath1307.05150arXiv1302.4423OpenAlexW2065974730MaRDI QIDQ2259865

Justin Salez

Publication date: 5 March 2015

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.4423

zbMATH Keywords

eigenvalueadjacency matrixtotally real algebraic integer

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (13)

Multiplicity of eigenvalues of cographs ⋮ Ranks of matrices with few distinct entries ⋮ Existence of absolutely continuous spectrum for Galton-Watson random trees ⋮ Flat bands of periodic graphs ⋮ Bernoulli random matrices ⋮ On the distribution of eigenvalues of increasing trees ⋮ Locating Eigenvalues of Symmetric Matrices - A Survey ⋮ Some spectral properties of cographs ⋮ On unimodular tournaments ⋮ Emergence of extended states at zero in the spectrum of sparse random graphs ⋮ Unnamed Item ⋮ On equiangular lines in $17$ dimensions and the characteristic polynomial of a Seidel matrix ⋮ Atoms of the matching measure

Cites Work

• Spectra of graphs
• Eigenvalues of symmetric integer matrices
• Eigenvalues of symmetric matrices and graphs
• Spectral analysis of percolation Hamiltonians
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