On the spectral radii and the signless Laplacian spectral radii of c-cyclic graphs with fixed maximum degree

DOI10.1016/j.laa.2011.06.003zbMath1226.05138OpenAlexW2094188509MaRDI QIDQ716415

Muhuo Liu, Bo Lian Liu

Publication date: 22 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.06.003

zbMATH Keywords

maximum degreetricyclic graph(Signless laplacian) spectral radius

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Paths and cycles (05C38) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48) Signed and weighted graphs (05C22)

Related Items (2)

Some results on the signless Laplacian spectra of unicyclic graphs ⋮ The \(A_\alpha\)-spectral radius of complements of bicyclic and tricyclic graphs with \(n\) vertices

Cites Work

• Some results on the spectral radii of bicyclic graphs
• Graphs for which the least eigenvalue is minimal. I
• The Laplacian spectral radii of trees with degree sequences
• The signless Laplacian spectral radius of graphs with given degree sequences
• Graphs with given degree sequence and maximal spectral radius
• On the spectral radius of (0,1)-matrices
• A bound on the spectral radius of graphs
• On the two largest eigenvalues of trees
• The spectral radius of trees on \(k\) pendant vertices
• Ordering trees by their largest eigenvalues
• Ordering trees by their largest eigenvalues
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