Petals and books: The largest Laplacian spectral gap from 1

DOI10.1002/jgt.22999zbMath1526.05093arXiv2110.08751OpenAlexW4383264401MaRDI QIDQ6084713

Juergen Jost, Raffaella Mulas, Dong Zhang

Publication date: 6 November 2023

Published in: Journal of Graph Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.08751

zbMATH Keywords

neighborhood graphspectral gapsnormalized Laplacianspectral graph theoryeigenvalue 1maximal gap interval

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Connectivity (05C40)

Cites Work

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• On the second eigenvalue of a graph
• A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions
• Cubic Ramanujan graphs
• Line-graph lattices: Euclidean and non-Euclidean flat bands, and implementations in circuit quantum electrodynamics
• The graphs with all but two eigenvalues equal to \(\pm 1\)
• Bipartite and neighborhood graphs and the spectrum of the normalized graph Laplace operator
• Spectral gap of the largest eigenvalue of the normalized graph Laplacian
• Twin Vertices in Hypergraphs
• Riemannian geometry and geometric analysis
• Gap sets for the spectra of cubic graphs

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