Bounds of eigenvalues of a graph

DOI10.1007/BF02006065zbMath0681.05053MaRDI QIDQ1823261

Yuan Hong

Publication date: 1988

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

eigenvaluecomplete graph

Mathematics Subject Classification ID

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

Related Items (15)

A note on the Nordhaus-Gaddum type inequality to the second largest eigenvalue of a graph ⋮ On the eigenvalues of \(A_\alpha \)-matrix of graphs ⋮ Ordering unicyclic graphs in terms of their smaller least eigenvalues ⋮ Sharp upper bounds on the second largest eigenvalues of connected graphs ⋮ Adjacency eigenvalues of graphs without short odd cycles ⋮ Distance Laplacian eigenvalues and chromatic number in graphs ⋮ Ramsey numbers, graph eigenvalues, and a conjecture of Cao and Yuan ⋮ On least eigenvalues of bicyclic graphs with fixed number of pendant vertices ⋮ The distribution of eigenvalues of graphs ⋮ Bounds for Kirchhoff index and Laplacian-energy-like invariant of some derived graphs of a regular graph ⋮ Some new bounds on the spectral radius of graphs ⋮ Eigenvalues and triangles in graphs ⋮ The spread of the unicyclic graphs ⋮ Positive semidefiniteness of \(A_\alpha (G)\) on some families of graphs ⋮ Bounds of eigenvalues of graphs

Cites Work

• Unnamed Item
• Bounds on graph spectra
• The kth largest eigenvalue of a tree
• Lower bounds on the spectra of symmetric matrices with nonnegative entries

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