On the least eigenvalue of \(A_\alpha \)-matrix of graphs

DOI10.1016/j.laa.2019.10.025zbMath1429.05129OpenAlexW2988235057WikidataQ126866624 ScholiaQ126866624MaRDI QIDQ2282792

Shuting Liu, Jin-Long Shu, Shaowei Sun, Kinkar Chandra Das

Publication date: 19 December 2019

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

Full work available at URL: https://doi.org/10.1016/j.laa.2019.10.025

zbMATH Keywords

diameterchromatic numbergirthleast signless Laplacian eigenvalueleast eigenvalue of \(A_\alpha(G)\)

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Coloring of graphs and hypergraphs (05C15) Distance in graphs (05C12)

Related Items (12)

On the smallest eigenvalue of D_α-matrix of connected graphs ⋮ Ordering graphs by their largest (least) A_α-eigenvalues ⋮ Unnamed Item ⋮ On the Aα-spectral radius of connected graphs ⋮ On the eigenvalues of \(A_\alpha \)-matrix of graphs ⋮ On the characteristic polynomial of the \(A_\alpha\)-matrix for some operations of graphs ⋮ Bounds for A_α-eigenvalues ⋮ On the Sα-matrix of graphs ⋮ The \(A_\alpha\)-spread of a graph ⋮ Unnamed Item ⋮ On α-adjacency energy of graphs and Zagreb index ⋮ On the Aα spectrum of the zero-divisor graphs

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