Some results on the Laplacian eigenvalues of unicyclic graphs

DOI10.1016/j.laa.2008.11.016zbMath1225.05169OpenAlexW1990887140MaRDI QIDQ1014473

Wai Hong Chan, Wai Chee Shiu, Jian Xi Li

Publication date: 29 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.11.016

zbMATH Keywords

Laplacian eigenvaluesunicyclic graphsLaplacian spreadLaplacian separator

Mathematics Subject Classification ID

Paths and cycles (05C38) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (7)

The Laplacian spread of graphs ⋮ On the second largest Laplacian eigenvalues of graphs ⋮ Absolute algebraic connectivity of double brooms and trees ⋮ Ordering trees and graphs with few cycles by algebraic connectivity ⋮ Upper bounds on the Laplacian spread of graphs ⋮ The minimum Laplacian spread of unicyclic graphs ⋮ The signless Laplacian spread

Cites Work

• Spektren endlicher Grafen
• Ordering trees with \(n\) vertices and matching number \(q\) by their largest Laplacian eigenvalues
• Some results on the ordering of the Laplacian spectral radii of unicyclic graphs
• The spread of the unicyclic graphs
• Sharp lower bounds on the eigenvalues of trees
• Bounds on the \(k\)th eigenvalues of trees and forests
• On the Laplacian spectral radius of a tree.
• The Laplacian spectrum of a graph
• On the second largest Laplacian eigenvalue of trees
• The third smallest eigenvalue of the Laplacian matrix
• The Laplacian Spectrum of a Graph
• Note on deleting a vertex and weak interlacing of the Laplacian spectrum
• Eigenvalues of the Laplacian of a graph^∗
• The Laplacian Spectrum of a Graph II
• Extremizing algebraic connectivity subject to graph theoretic constraints
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