On the second largest eigenvalue of the signless Laplacian

DOI10.1016/j.laa.2012.07.052zbMath1257.05093arXiv1202.0964OpenAlexW2011537910MaRDI QIDQ1931731

Vladimir Nikiforov, Leonardo Silva de Lima

Publication date: 16 January 2013

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.0964

zbMATH Keywords

eigenvalue boundssecond largest eigenvaluesignless Laplacian

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (15)

Characterization of extremal graphs from distance signless Laplacian eigenvalues ⋮ Signless Laplacian spectral characterization of some disjoint union of graphs ⋮ On (distance) signless Laplacian spectra of graphs ⋮ On the multiplicity of the least signless Laplacian eigenvalue of a graph ⋮ On the \(A_\alpha\)-spectra of graphs ⋮ On the second largest Laplacian eigenvalues of graphs ⋮ Signless Laplacian spectrum of a graph ⋮ Minimum values of the second largest \(Q\)-eigenvalue ⋮ Bounds for the largest two eigenvalues of the signless Laplacian ⋮ On signed graphs whose second largest Laplacian eigenvalue does not exceed 3 ⋮ On the second largest \(A_{\alpha}\)-eigenvalues of graphs ⋮ Signless Laplacian eigenvalue problems of Nordhaus-Gaddum type ⋮ Unnamed Item ⋮ On the D_α-spectra of graphs ⋮ Nordhaus-Gaddum-type result on the second largest signless Laplacian eigenvalue of a graph

Cites Work

• Unnamed Item
• Unnamed Item
• Proof of conjecture involving the second largest signless Laplacian eigenvalue and the index of graphs
• On the extremal values of the second largest \(Q\)-eigenvalue
• On the two largest \(Q\)-eigenvalues of graphs
• Signless Laplacians of finite graphs
• Towards a spectral theory of graphs based on the signless Laplacian. II.
• Infinite families of \(Q\)-integral graphs
• On conjectures involving second largest signless Laplacian eigenvalue of graphs
• Commutativity and spectra of Hermitian matrices
• Properties of spectra of graphs and line graphs
• Eigenvalue bounds for the signless laplacian
• The Monotonicity Theorem, Cauchy's Interlace Theorem, and the Courant- Fischer Theorem
• A characterization of the smallest eigenvalue of a graph

This page was built for publication: On the second largest eigenvalue of the signless Laplacian