Distribution of Laplacian eigenvalues of graphs

DOI10.1016/J.LAA.2016.06.039zbMath1344.05087OpenAlexW2464378067MaRDI QIDQ307805

Vilmar Trevisan, Seyed Ahmad Mojallal, Kinkar Chandra Das

Publication date: 5 September 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.06.039

zbMATH Keywords

graphLaplacian eigenvaluesLaplacian matrixclique number

Mathematics Subject Classification ID

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

Related Items (7)

On graphs with a single large Laplacian eigenvalue ⋮ Most Laplacian eigenvalues of a tree are small ⋮ Partial characterization of graphs having a single large Laplacian eigenvalue ⋮ On Laplacian energy, Laplacian-energy-like invariant and Kirchhoff index of graphs ⋮ Maximum Laplacian energy of unicyclic graphs ⋮ Open problem on \(\sigma\)-invariant ⋮ On distance Laplacian spectrum (energy) of graphs

Uses Software

• SageMath

Cites Work

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• On the sum of the Laplacian eigenvalues of a graph and Brouwer's conjecture
• On the distribution of Laplacian eigenvalues of trees
• On the Laplacian eigenvalues of a graph and Laplacian energy
• On Laplacian energy in terms of graph invariants
• Laplacian energy of a graph
• Laplacian matrices of graphs: A survey
• The Gewirtz graph: An exercise in the theory of graph spectra
• Degree maximal graphs are Laplacian integral
• Commutativity and spectra of Hermitian matrices
• Threshold graphs and related topics
• Laplacian energy of diameter 3 trees
• On the sum of the Laplacian eigenvalues of a tree
• Graph Energy
• The Laplacian Spectrum of a Graph
• The Laplacian Spectrum of a Graph II

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