The signless Laplacian spread

DOI10.1016/j.laa.2009.08.025zbMath1206.05064OpenAlexW1988295784MaRDI QIDQ1044539

Muhuo Liu, Bo Lian Liu

Publication date: 18 December 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.2009.08.025

zbMATH Keywords

eigenvaluesboundsspreadunicyclic graph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inequalities involving eigenvalues and eigenvectors (15A42) Matrices of integers (15B36)

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Cites Work

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• Signless Laplacians of finite graphs
• Minimizing the least eigenvalues of unicyclic graphs with application to spectral spread
• Unoriented Laplacian maximizing graphs are degree maximal
• A sharp lower bound for the least eigenvalue of the signless Laplacian of a non-bipartite graph
• Bicyclic graphs for which the least eigenvalue is minimum
• Some results on the Laplacian eigenvalues of unicyclic graphs
• On the spread of the spectrum of a graph
• Laplacian matrices of graphs: A survey
• Largest eigenvalue of a unicyclic mixed graphs
• The Laplacian spectrum of a graph
• Sharp upper bounds for the Laplacian graph eigenvalues
• Interlacing eigenvalues and graphs
• Maximizing spectral radius of unoriented Laplacian matrix over bicyclic graphs of a given order
• Eigenvalues and the degree sequences of graphs
• Inequalities: theory of majorization and its applications
• The spread of the spectrum of a graph