New lower bounds for the Randić spread

DOI10.1016/j.laa.2017.07.037zbMath1388.05108OpenAlexW2783797496MaRDI QIDQ1638000

María Robbiano, Maria Aguieiras A. de Freitas, Enide Andrade, Jonnathan Rodríguez Z.

Publication date: 12 June 2018

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

Full work available at URL: http://hdl.handle.net/10773/22409

zbMATH Keywords

independence numberregular graphsnullityLaplacian spreadmatrix spreadRandić matrixnormalized Laplacian spreadRandić spread

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (1)

Inequalities for real number sequences with applications in spectral graph theory

Cites Work

• Some results on the Laplacian spread of a graph
• Laplacian spread of graphs: lower bounds and relations with invariant parameters
• Bounds on Randić indices
• Bounds for the spectrum of normal matrices
• Lower bounds for the spread of a Hermitian matrix
• A spectral approach to the Randić index
• Interlacing eigenvalues and graphs
• Bounding the gap between extremal Laplacian eigenvalues of graphs
• Determination of the inertia of a partitioned Hermitian matrix
• Limits for the characteristic roots of a matrix. IV. Applications to stochastic matrices
• The spread of a matrix
• On the nullity of graphs
• On the spread of a hermitian matrix and a conjecture of thompson
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