Bounds for the extreme eigenvalues of the Laplacian and signless Laplacian of a graph

DOI10.1007/s10958-012-0788-1zbMath1254.05105OpenAlexW2003520920MaRDI QIDQ690608

L. Yu. Kolotilina

Publication date: 28 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0788-1

zbMATH Keywords

Laplacian spectral radiusblock-partitioned Hermitian matrix

Mathematics Subject Classification ID

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

Cites Work

• On conjectures involving second largest signless Laplacian eigenvalue of graphs
• Chromatic number and spectral radius
• A note on sum of powers of the Laplacian eigenvalues of bipartite graphs
• On the spectral radius of graphs
• Sharp upper and lower bounds for largest eigenvalue of the Laplacian matrices of trees
• The Laplacian Spectrum of a Graph II
• On sum of powers of the Laplacian eigenvalues of graphs

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