Topological multiplicity of the maximum eigenvalue of graph \(1\)-Laplacian

DOI10.1016/j.disc.2017.06.020zbMath1372.05133OpenAlexW2739973617MaRDI QIDQ2411591

Dong Zhang

Publication date: 24 October 2017

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

Full work available at URL: https://doi.org/10.1016/j.disc.2017.06.020

zbMATH Keywords

spectrumindependent numbergraph 1-Laplaciantopological join

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)

Related Items (2)

Nonsmooth critical point theory and applications to the spectral graph theory ⋮ Spectrum of signless 1-Laplacian on simplicial complexes

Cites Work

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• Nodal domains of eigenvectors for 1-Laplacian on graphs
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Laplacian spectral bounds for clique and independence numbers of graphs
• Spectrum of the 1-Laplacian and Cheeger's Constant on Graphs

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