On the signless Laplacian index of cacti with a given number of pendant vertices

DOI10.1016/j.laa.2011.03.065zbMath1241.05082OpenAlexW1981777627MaRDI QIDQ417533

Shuchao Li, Minjie Zhang

Publication date: 14 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.03.065

zbMATH Keywords

perfect matchingcactuspendant vertexsignless Laplacian index

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Eigenvalues, singular values, and eigenvectors (15A18) Connectivity (05C40)

Related Items (15)

The spanning k-trees, perfect matchings and spectral radius of graphs ⋮ \(A_\alpha\)-spectrum of a firefly graph ⋮ Extremal Halin graphs with respect to the signless Laplacian spectra ⋮ Some graphs determined by their (signless) Laplacian spectra ⋮ The eccentricity spread of weak-friendship graphs ⋮ On a conjecture for the signless Laplacian spectral radius of cacti with given matching number ⋮ On a conjecture for the signless Laplacian eigenvalues ⋮ On the signless Laplacian spectra of \(k\)-trees ⋮ Extremal cacti of given matching number with respect to the distance spectral radius ⋮ Extremal results for cacti ⋮ Sharp upper bounds of $A_\alpha$-spectral radius of cacti with given pendant vertices ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The second least eigenvalue of the signless Laplacian of the complements of trees ⋮ Aα and Lα-spectral properties of spider graphs

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