On graphs with smallest eigenvalue at least \(-3\) and their lattices

DOI10.1016/j.aim.2018.09.004zbMath1396.05071arXiv1804.00369OpenAlexW2962790903MaRDI QIDQ1789501

Qianqian Yang, Jae Young Yang, Jack H. Koolen

Publication date: 10 October 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.00369

zbMATH Keywords

latticeeigenvalueHoffman graphroot lattice\(s\)-integrability

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Connectivity (05C40) Geometry of numbers (11H99)

Related Items (12)

A spectral characterization of the \(s\)-clique extension of the square grid graphs ⋮ Mixed graphs with smallest eigenvalue greater than \(- \frac{ \sqrt{ 5} + 1}{ 2} \) ⋮ Spectral properties of the eccentricity matrix of graphs ⋮ Signed analogue of line graphs and their smallest eigenvalues ⋮ Mixed graphs whose Hermitian adjacency matrices of the second kind have the smallest eigenvalue greater than \(- \frac{3}{2}\) ⋮ Sesqui-regular graphs with fixed smallest eigenvalue ⋮ Spectral characterization of the complete graph removing a cycle ⋮ Characterizing signed mixed graphs with small eigenvalues ⋮ A generalization of a theorem of Hoffman ⋮ Open problems in the spectral theory of signed graphs ⋮ On the integrability of strongly regular graphs ⋮ Recent progress on graphs with fixed smallest adjacency eigenvalue: a survey

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