Locating eigenvalues of unicyclic graphs

DOI10.2298/AADM1702273BzbMath1499.05352OpenAlexW2766680267MaRDI QIDQ5034289

Virgínia M. Rodrigues, Rodrigo O. Braga, Vilmar Trevisan

Publication date: 24 February 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm1702273b

zbMATH Keywords

unicyclic graphsclosed caterpillarslocalitaion of eigenvaluesunicyclic caterpillars

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Graph algorithms (graph-theoretic aspects) (05C85)

Related Items (4)

Locating Eigenvalues of a Symmetric Matrix whose Graph is Unicyclic ⋮ Locating Eigenvalues of Symmetric Matrices - A Survey ⋮ Integral unicyclic graphs ⋮ Locating eigenvalues of unbalanced unicyclic signed graphs

Cites Work

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• On the distribution of Laplacian eigenvalues of trees
• Locating the eigenvalues of trees
• The largest eigenvalue of unicyclic graphs
• On integral graphs with few cycles
• Trees with 4 or 5 distinct normalized Laplacian eigenvalues
• On the sum of the Laplacian eigenvalues of a tree
• Matrix Analysis
• A survey on integral graphs
• The Spectrum of the Corona of Two Graphs

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