On the least eigenvalue of cacti

DOI10.1016/j.laa.2011.02.011zbMath1222.05175OpenAlexW1969411531MaRDI QIDQ550609

Višnja Simić, Tatjana M. Aleksić, Miroslav M. Petrović

Publication date: 13 July 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.2011.02.011

zbMATH Keywords

graphleast eigenvaluecactusadjacency spectrum

Mathematics Subject Classification ID

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

Related Items (8)

\(A_\alpha\)-spectrum of a firefly graph ⋮ The eccentricity spread of weak-friendship graphs ⋮ On the least eigenvalue of cacti with pendant vertices ⋮ On a conjecture for the signless Laplacian spectral radius of cacti with given matching number ⋮ Extremal cacti of given matching number with respect to the distance spectral radius ⋮ Cacti whose spread is maximal ⋮ Unnamed Item ⋮ Least eigenvalue of the connected graphs whose complements are cacti

Cites Work

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• A table of connected graphs on six vertices
• Graphs for which the least eigenvalue is minimal. I
• Minimizing the least eigenvalues of unicyclic graphs with application to spectral spread
• Graphs for which the least eigenvalue is minimal. II.
• Bicyclic graphs for which the least eigenvalue is minimum
• The least eigenvalue of unicyclic graphs with \(n\) vertices and \(k\) pendant vertices
• Recent results in the theory of graph spectra
• A class of reflexive cactuses with four cycles
• The largest eigenvalue of a graph: A survey

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