On the distribution of Laplacian eigenvalues of trees

DOI10.1016/J.DISC.2013.06.017zbMath1279.05045OpenAlexW2041732656MaRDI QIDQ389451

Vilmar Trevisan, Rodrigo O. Braga, Virgínia M. Rodrigues

Publication date: 20 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.disc.2013.06.017

zbMATH Keywords

Laplacian eigenvaluesdistribution of eigenvalues

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (15)

Locating eigenvalues of unicyclic graphs ⋮ Distribution of Laplacian eigenvalues of graphs ⋮ Diagonalization of generalized lollipop graphs ⋮ Laplacian distribution and domination ⋮ Proof of a conjecture on distribution of Laplacian eigenvalues and diameter, and beyond ⋮ Domination number and Laplacian eigenvalue distribution ⋮ Locating Eigenvalues of Symmetric Matrices - A Survey ⋮ Graphs with three distinct distance eigenvalues ⋮ Most Laplacian eigenvalues of a tree are small ⋮ Vertex-connectivity, chromatic number, domination number, maximum degree and Laplacian eigenvalue distribution ⋮ Locating eigenvalues of unbalanced unicyclic signed graphs ⋮ On the number of Laplacian eigenvalues of trees smaller than two ⋮ Maximum Laplacian energy of unicyclic graphs ⋮ Domination and Spectral Graph Theory ⋮ On the number of Laplacian eigenvalues of trees less than the average degree

Cites Work

• Locating the eigenvalues of trees
• On the distribution of Laplacian eigenvalues of a graph
• Permanental roots and the star degree of a graph
• Laplacian energy of a graph
• On the Laplacian coefficients of acyclic graphs
• Laplacian energy of diameter 3 trees
• On the sum of the Laplacian eigenvalues of a tree
• The Laplacian Spectrum of a Graph
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